#### Read g8_ms_mastering_mct2_se.pdf text version

the MCT2

Diagnose · Prescribe · Practice for the Mississippi Curriculum Test, Second Edition

Pre-Algebra (Grade 8)

Includes:

· Mississippi Pre-Algebra (Grade 8) Mathematics Competencies and Objectives · Diagnostic Test · Practice by Competency · Practice Test · Countdown to MCT2

Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without prior permission of the publisher. Send all inquiries to: Glencoe/McGraw-Hill 8787 Orion Place Columbus, OH 43240-4027 ISBN: 978-0-07-878496-5 MHID: 0-07-878496-4 Printed in the United States of America. 1 2 3 4 5 6 7 8 9 10 079 15 14 13 12 11 10 09 08 07

Mastering the MCT2, Pre-Algebra (Grade 8)

Contents

Mississippi Mathematics Framework Revised, Competencies and Objectives, Pre-Algebra, (Grade 8) . . . . . . . . . . . . . . . . . . . . . . v

Formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii Diagnostic TestStudent Recording Sheet . . . . . . . . . . . . . . . . . . . . . Diagnostic TestStudent Answer Sheet . . . . . . . . . . . . . . . . . . . . . . Diagnostic Test. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Practice by Competency Competency 1 Number and Operations . . . . . . . . . . . . . . . . . . . Competency 2 Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . Competency 3 Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . Competency 4 Measurement . . . . . . . . . . . . . . . . . . . . . . . . .

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

ix 1 3

15 22 31 36 39

Competency 5 Data Analysis and Probability . . . . . . . . . . . . . . . .

Practice TestStudent Answer Sheet . . . . . . . . . . . . . . . . . . . . . . . . 43 Practice Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 Countdown to MCT2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57

Mastering the MCT2, Pre-Algebra (Grade 8)

iii

Mississippi Mathematics Framework

Competencies and Objectives, Pre-Algebra (Grade 8)

The objective numbers were devised by the publisher for easy reference in the book. The number 8.1.a represents Pre-Algebra (Grade 8), Competency 1, Objective a.

Competencies and Objectives Competency 1: NUMBER AND OPERATIONS

Apply concepts and perform basic operations using real numbers in real-world contexts.

8.1.a 8.1.b 8.1.c 8.1.d 8.1.e 8.1.f 8.1.g

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Define, classify, and order rational and irrational numbers and their subsets. (DOK1) Formulate and solve standard and real-life problems involving addition, subtraction, multiplication, and division of rational numbers. (DOK2) Apply the concepts of Greatest Common Factor (GCF) and Least Common Multiple (LCM) to monomials with variables. (DOK2) Simplify and evaluate expressions using order of operations and use real number properties to justify solutions. (DOK2) Explain the rules of exponents related to multiplication and division of terms with exponents. (DOK2) Recognize and appropriately use exponential and scientific notation. (DOK1) Explain and use the inverse relationship between square roots and squares. (DOK2)

Competency 2: ALGEBRA

Apply properties to simplify algebraic expressions, solve linear equations and inequalities, and apply principles of graphing.

8.2.a 8.2.b 8.2.c 8.2.d 8.2.e 8.2.f 8.2.g 8.2.h 8.2.i

Simplify and evaluate numerical and algebraic expressions. (DOK1) Apply properties of real numbers with an emphasis on the distributive properties of multiplication over addition and subtraction. (DOK1) Solve and check equations and inequalities using one variable. (DOK2) Model inequalities (and their solutions) on a number line. (DOK1) Graph linear equations and non-linear equations (y = x2) using multiple methods including t-tables and slope-intercept. (DOK2) Given a linear graph, identify its slope as positive, negative, undefined, or zero, and interpret slope as rate of change. (DOK2) Determine slope, x-intercept, and y-intercept from a graph and/or equation in slope-intercept or standard form. (DOK1) Add, subtract, and multiply monomials and binomials. (DOK1) Predict characteristics of a graph given an equation or t-table. (DOK2)

Mastering the MCT2, Pre-Algebra (Grade 8)

v

Mississippi Mathematics Framework

Competencies and Objectives, Pre-Algebra (Grade 8) (continued)

Competencies and Objectives Competency 3: GEOMETRY

Identify and apply geometric principles to polygons, angles, and two- and three-dimensional figures.

8.3.a 8.3.b 8.3.c 8.3.d 8.3.e

Locate and identify angles formed by parallel lines cut by a transversal(s) (e.g., adjacent, vertical, complementary, supplementary, corresponding, alternate interior, and alternate exterior). (DOK1) Find missing angle measurements for parallel lines cut by a transversal(s) and for a vertex of a polygon. (DOK1) Explain the Pythagorean Theorem and apply it to solve routine and non-routine problems. (DOK3) Solve real-world and non-routine problems involving congruent and similar figures. (DOK3) Use two-dimensional representations (nets) of three-dimensional objects to describe objects from various perspectives. (DOK2)

Competency 4: MEASUREMENT

Understand measurable attributes of objects and apply various formulas in problem solving situations.

8.4.a 8.4.b 8.4.c

Solve real-world application problems that include length, area, perimeter, and circumference using standard measurements. (DOK2) Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios. (DOK3) Use formulas and/or appropriate measuring tools to find length and angle measures (to appropriate levels of precision), perimeter, area, volume, and surface area of polygons, circles, spheres, cones, pyramids, and composite or irregular figures. (DOK1)

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Competency 5: DATA ANALYSIS & PROBABILITY

Interpret, organize, and make predictions about a variety of data using concepts of probability.

8.5.a 8.5.b 8.5.c 8.5.d

Use a given mean, mode, median, and range to summarize and compare data sets including investigation of the different effects that change in data values have on these measures. (DOK2) Select the appropriate measures of central tendency for a particular purpose. (DOK2) Make and list conjectures by calculating probability for experimental or simulated contexts. (DOK3) Construct and interpret scatter plots to generalize trends from given data sets. (DOK3)

vi Mastering the MCT2, Pre-Algebra (Grade 8)

Formulas

This list contains formulas that are commonly used to solve problems in mathematics. If you become familiar with these formulas, you will save time when answering questions on your test.

Two-Dimensional Figures Perimeter and Circumference

square rectangle circle P = 4s P = 2( + w) C = 2r or C = d A = s2 A = w or A = bh bh A=_ 2 1 A = _ (b1 + b2)h 2 A = r2

Pythagorean Theorem

In a right triangle with legs a and b and hypotenuse c, a2 + b2 = c2.

Distance Formula

d = rt, where r = rate and t = time

Area

square rectangle triangle trapezoid circle

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Coordinate Plane

Midpoint Formula: x1 + x2 y1 + y2 M = _, _ 2 2

(

)

Distance Formula: d = (x2 - x1)2 + (y2 - y1)2 Slope of a Line: y2 - y1 m=_ x2 - x1 Slope-Intercept Form of an Equation: y = mx + b Point-Slope Form of an Equation: y - y1 = m(x - x1)

Three-Dimensional Figures Surface Area

cube cylinder lateral area of a cylinder S = 6s2 S = 2r2 + 2rh S = 2rh

Algebraic Equations

V = wh V = r2h V = s3 Standard Form of a Linear Equation: Ax + By = C Quadratic Formula: For ax2 + bx + c = 0, -b± b2-4ac x = __. 2a

Volume

rectangular prism cylinder cube

Mastering the MCT2, Pre-Algebra (Grade 8)

vii

Name

Date

Diagnostic Test

Student Recording Sheet

Color in the bubble for each question that you answered correctly on the Diagnostic Test. For each question you did not answer correctly, your teacher may ask you to do the exercises on the practice sheet prescribed.

Question

Objective Assessed

Practice Page

Question

Objective Assessed

Practice Page

1 2 3 4 5 6 7 8 9 10

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

8.2.c 8.3.b 8.4.c 8.3.a 8.2.f 8.5.a 8.2.d 8.1.a 8.5.d 8.3.b 8.4.c 8.2.e 8.3.d 8.2.h 8.3.e 8.4.a 8.2.d 8.2.i 8.1.a 8.3.a 8.5.c 8.5.b 8.1.b 8.3.d 8.2.b 8.4.b

24 32 38 31 27 39 25 15 42 32 38 26 34 29 35 36 25 30 15 31 41 40 16 34 23 37

27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

8.2.c 8.2.g 8.5.d 8.5.a 8.3.c 8.4.b 8.2.f 8.4.c 8.1.g 8.2.b 8.4.b 8.1.b 8.5.b 8.1.f 8.2.g 8.1.d 8.4.a 8.5.a 8.5.c 8.1.c 8.3.c 8.1.c 8.4.b 8.2.a

24 28 42 39 33 37 27 38 21 23 37 16 40 20 28 18 36 39 41 17 33 17 37 22

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

(continued on the next page)

Mastering the MCT2, Pre-Algebra (Grade 8)

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Name

Date

Diagnostic Test

Student Recording Sheet

(continued)

Objective Assessed Objective Assessed

Question

Practice Page

Question

Practice Page

51 52 53 54 55

8.3.b 8.5.b 8.2.e 8.1.d 8.2.h

32 40 26 18 29

56 57 58 59 60

8.3.a 8.1.e 8.2.a 8.3.e 8.1.e

31 19 22 35 19

How many questions did you answer correctly?

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

x

Mastering the MCT2, Pre-Algebra (Grade 8)

Diagnostic Test

Student Answer Sheet

Record your answers by coloring in the appropriate bubble for the best answer to each question. 1 2 3 4 5 6 7 8 9 10 11 12

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A A A A A A A A A A A A A A A A A A A A

B B B B B B B B B B B B B B B B B B B B

C C C C C C C C C C C C C C C C C C C C

D D D D D D D D D D D D D D D D D D D D

21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

A A A A A A A A A A A A A A A A A A A A

B B B B B B B B B B B B B B B B B B B B

C C C C C C C C C C C C C C C C C C C C

D D D D D D D D D D D D D D D D D D D D

41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

A A A A A A A A A A A A A A A A A A A A

B B B B B B B B B B B B B B B B B B B B

C C C C C C C C C C C C C C C C C C C C

D D D D D D D D D D D D D D D D D D D D

13 14 15 16 17 18 19 20

Mastering the MCT2, Pre-Algebra (Grade 8)

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Diagnostic Test

1

What is the solution of -4x - 2(-x + 1) = 14? 8.2.c A -8 B -6 C -4 D 17 _ 2

x

5

Which graph shows a line with a negative slope? 8.2.f A

y

2

What is the interior angle measure of a regular pentagon? 8.3.b A 60° B 90° C 108° D 120° B

y

3

What is the area of the shaded region in the given figure? Use 3.14 for . 8.4.c

4 in.

x

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

15 in.

C C 12.56 in2 D 9.76 in2

y

A 60 in2 B 47.44 in2

x

4

In the figure, Mason Street is parallel to Knolls Avenue. Angle 6 and which angle are vertical angles? 8.3.a

Str ee t

D

y

1 2

x

4

Ma s on

Ry an

3

Kn

5 6

e Av

nu

e

e Str et

8

o lls

7

A 2 B 4

C 7 D 8

Go on

Mastering the MCT2, Pre-Algebra (Grade 8)

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Name

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Diagnostic Test

6

Caleb has scored 14, 18, 10, and 22 points in the last four basketball games. How many points must he score to average 17 points over the five games? 8.5.a A B C D 85 64 21 16

(continued)

9

Tanya runs the 200-meter dash. The table shows her times in seconds and the temperature on the track each time she ran the race. Which statement is true? 8.5.d

70° 30.1 65° 31.7 65° 31 60° 32.1 54° 33.1 54° 32.9

Temp. Time

7

Which inequality is graphed below? 8.2.d

-5-4-3-2-1 0 1 2 3 4 5

A As the temperature drops, Tanya's race time increases. B As the temperature drops, Tanya's race time decreases. C Temperature did not affect Tanya's race time. D There is no direct relationship between temperature and Tanya's race time.

A B C D

a > -3 a -3 a < -3 a -3

10 In the figure below, line x is parallel to

line y. What are the measures of 1, 2, 7, and 6 in the figure? 8.3.b

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

x 8

Which numbers in the following set are irrational? 8.1.a -- 1 3 , _, 0.2121, 121 , , -0.01, -5 2 A 2 B 3 , C -5, 121 D -5, -0.01 1 _, 0.21--, 121 , -0.01, -5 21 A B C D

40° 1 3 2 7 4 6 5

y z

140°, 40°, 40°, 140° 40°, 140°, 40°, 140° 40°, 40°, 40°, 40° 140°, 140°, 140°, 140°

Go on 4 Mastering the MCT2, Pre-Algebra (Grade 8)

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Diagnostic Test

of 12 meters? Use 3.14 for . 8.4.c A B C D 452.16 m2 118.32 m2 75.36 m2 37.68 m2

(continued)

11 What is the area of a circle with a radius

14 Which expression is equivalent to

3ab2(2a3 + b)? 8.2.h A B C D 6a4b2 + b 2a3 + 3ab3 6a4b2 + 3ab3 6a3b2 + 3ab2

12 Which is the best explanation of why the

graph of the ordered pairs in the table below are NOT linear? 8.2.e

x y -2 -4 -1 -1 0 0 1 -1 2 -4

15 Which 3-dimensional object does the net

in the diagram below represent? 8.3.e

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A The y-values do not increase from left to right. B The rate of change in y with respect to x is not constant. C The y-values do not decrease from left to right. D They are common factors.

A B C D

Square Pyramid Square Prism Cone Triangular Pyramid

13 You reduce a picture that measures

8 inches wide by 10 inches long so that the new width is 2 inches. What is the area of the reduced picture? 8.3.d A B C D 80 in2 36 in2 9 in2 5 in2

16 At the equator, the circumference of the

Earth is approximately 24,902 miles. To the nearest mile, what is the radius of the earth? Use 3.14 for . 8.4.a A B C D 2526 mi 3965 mi 7931 mi 12,451 mi

Go on

Mastering the MCT2, Pre-Algebra (Grade 8)

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Diagnostic Test

17 Which graph represents the solution to

the inequality? 8.2.d -4 -x A B C D

-1 0 1 2 3 4 5 6 7 8

(continued)

19 Which list shows the following numbers

in order from least to greatest? 8.1.a 0.33, -0.02, 1 , 2 , -1.01, - 7

3

_

A B

-1 0 1 2 3 4 5 6 7 8 -1 0 1 2 3 4 5 6 7 8 -1 0 1 2 3 4 5 6 7 8

1 2 , _, 0.33, -0.02, -1.01, - 7 3 - 7 , -1.01, -0.02

1 - 7 , -1.01, -0.02, 0.33, _, 2 3 1 D 0.33, _, 2 3 C

20 If three parallel lines are cut by a 18 Which of the following is not true about

the graph of the data in the table? 8.2.i

x y -3 5 -1 1 0 -1 1 -3 3 -7

transversal, how many pairs of vertical angles are formed? 8.3.a A B C D 12 8 6 4

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A As x increases, y decreases. B The points lie on a line with a slope of -2. C The graph of the data is not linear. D The line containing these points has a y-intercept of -1.

Go on 6 Mastering the MCT2, Pre-Algebra (Grade 8)

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Diagnostic Test

21 If a dart hits the board shown below at

(continued)

random, what is the probability that it lands on a number divisible by 3? 8.5.c

23 You need 19 1 feet of ribbon to finish 8

your craft project. You have four pieces of ribbon measuring 7 1 , 5 1 , 6 7 , and 6 3 feet. Which pieces should you choose

_

_

4

_ _ _

4 2 8

15 13

1 3 5

so that you waste as little of the ribbon as possible? 8.1.b 1 1 7 A 7_, 5_, 6_ 4 2 8 3 _, 6_, 6_ B 71 7 4 8 4 1 1 3 C 7_, 5_, 6_ 4 2 4 1 7 3 D 5_, 6_, 6_ 2 8 4

11 9 7

A B C

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1 _ 8 3 _ 8 5 _ 8

24 A rectangular prism with edges x, 3x,

and 4.5x centimeters long is congruent to a rectangular prism whose longest edge is 13.5 centimeters. What is the area of the smallest face of the prism? 8.3.d A B C D 3 cm 27 cm2 364.5 cm3 378 cm2

D 1

22 According to the 2005 American

Community Survey, the average family size in the state of Mississippi is 3.14 people. What measure of central tendency was most likely used? 8.5.b A B C D Range Mode Median Mean

25 Which answer choice illustrates the

distributive property being correctly applied when simplifying the expression -3(a - 2b) - (-a + b)? 8.2.b A B C D (-3a - 2b) + (a + b) (-3a + 6b) + (a + b) (-3a - 2b) + (a - b) (-3a + 6b) + (a - b) Go on 7

Mastering the MCT2, Pre-Algebra (Grade 8)

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Diagnostic Test

26 The scale on a map of Mississippi

(continued)

29 Which of the following situations could

the scatter plot represent? 8.5.d

A B C D

810 mi 405 mi 202.5 mi 60 mi

Range

indicates that 2 centimeters is equivalent to 30 miles. If the distance on the map from Tupelo to Hattiesburg is about 13.5 centimeters, about how many miles are they apart? 8.4.b

Domain

27 The team record for hits in a season is 48.

Currently Pedro has 30 hits with 6 games left to play. If he wants to break the record, how many hits must he average per game to reach his goal? 8.2.c A B C D exactly 3 less than 3 less than or equal to 3 more than 3

A As a child grows, his or her weight increases. B The more sleep a person gets, the better his or her performance. C As the weight of a car increases, the gas mileage decreases. D A runner maintains a steady pace as the marathon progresses.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

30 Which of the two data sets has the

greater range, and what is that range? 8.5.a

28 What is the y-intercept of the line with

equation -4x + 2y = 24? 8.2.g A B C D 24 12 2 -6

Set 1: {14, 22, 10, 38, 7} Set 2: {130, 141, 125, 135, 155} A B C D Set 1; 31 Set 2; 137.2 Set 1; 7 Set 2; 30

Go on 8 Mastering the MCT2, Pre-Algebra (Grade 8)

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Diagnostic Test

31 On a map of Mississippi, the towns of

(continued)

33 The graph below shows the distance

Devon bicycles as a function of time. The slope of the line gives his speed, which represents the change in his position with respect to time. What is his speed? 8.2.f

Distance Biked (miles)

40 30 20 10 2 4 6 8

Greenwood, Jackson, and Meridian form a right triangle with the segment from Greenwood to Meridian being the hypotenuse. If the distance from Greenwood to Jackson is approximately 82 miles, and the distance from Jackson to Meridian is approximately 90 miles, how long is the hypotenuse to the nearest mile? 8.3.c

MISSISSIPPI

Greenwood

Time (hours)

Meridian Jackson

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A B C D

5 mi/hr 10 mi/hr 5 mi 8 mi

34 What is the volume of a cone with a

A B C D 122 mi 172 mi 7380 mi 14,824 mi radius of 10 inches and a height of 15 inches? Use 3.14 for . 8.4.c A B C D 157 in3 1570 in3 2355 in3 4710 in3

32 Which equation is NOT equivalent to

x w _ = _? 8.4.b z y

A xz = wy B C y z _=_ x w y x _=_ w z

D xw = yz Go on

Mastering the MCT2, Pre-Algebra (Grade 8)

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Diagnostic Test

35 The area of a square is 148.84 square

meters. What is the length of one side of the square? 8.1.g A B C D 12.2 m 37.21 m 74.42 m 22,153.3456 m

(continued)

38 The width of a rectangle is 14 2 inches. 5

What is the length of the rectangle if it is 2 4 inches shorter than the width? 8.1.b

5

_

_

36 Which expression represents the area of

the fenced in pens shown below? 8.2.b

3 A 11_ 5 _ B 12 3 5 _ C 17 1 5 _ D 34 2 5

39 Which best describes the mode for a set

w x y z

of data? 8.5.b A The mode is the average. B The mode is the value that appears most in the data set. C The mode is the middle number when the values are listed in order from least to greatest. D The mode is the difference between the greatest and least values.

A B C D

2w + 2x + 2y + 2z wx + wy + wz 4w + 2x + 2y + 2z wxyz

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

37 A house is 60 feet long and 40 feet wide.

A scale drawing of the house is 10 inches long. What is the width of the house on the scale drawing? 8.4.b A B C 2 _ in. 3 1 1_ in. 2 6 in.

40 In 2006 the estimated population of

Mississippi was 2.9 × 106, while the estimated population of the United States was 2.99 × 108. If 10x represents how much greater the population of the U.S. is than that of Mississippi, what is the value of x? 8.1.f A B C D 100 14 10 2 Go on

2 D 6_ in. 3

10 Mastering the MCT2, Pre-Algebra (Grade 8)

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Date

Diagnostic Test

41 What is the slope of the line graphed

below? 8.2.g

y

(continued)

44 According to the 2005 U.S. Census

Bureau, the five largest cities in Mississippi have the populations listed in the chart below. To the nearest whole number, what is mean of these populations? 8.5.a

x

City Jackson Gulfport Biloxi Hattiesburg Southhaven

Population 177,977 72,464 50,209 47,176 38,840

8 A -_ 3 3 B -_ 8 3 _ C 8 8 D _ 3

A B C D

139,137 77,333 50,209 38,840

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

42 What is the value of the expression

-4 + 2(4 - 6) __? 8.1.d

2 2

45 If your MP3 player contains 300 songs

and plays them randomly, what is the probability that it will play your favorite song next? 8.5.c A 300 B 1 1 C _ 300 D 0

-2

A B C D

-16 -12 4 12

43 Each side of the Pentagon is about

921 feet long. What is the perimeter of the Pentagon? 8.4.a A B C D 2763 ft 3684 ft 4605 ft 5526 ft

46 What is the LCM of 12w2z3 and

30x4w3z? 8.1.c A 6w2z B 60x4w3z3 C 360x4w5z4 2.5x4w D _ z2 Go on

Mastering the MCT2, Pre-Algebra (Grade 8)

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Name

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Diagnostic Test

47 Yi created the figure seen below using

five rectangles each measuring 3 inches by 6 inches. To the nearest tenth of an inch, what is the distance from A to B? 8.3.c

(continued)

50 Which expression is equivalent to the

expression below? 8.2.a -(7 - 3x) - 2[-(3x)2 + 1] A B C D 18x2 - 3x - 6 18x2 + 3x + 9 18x2 + 3x - 9 -18x2 + 3x - 9

51 If the measures of three interior angles

of a quadrilateral are 85°, 105°, and 70°, what is the measure of the fourth angle? 8.3.b A B C D

70°

270 in. 33 in. 23.4 in. 5.7 in.

85°

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

48 Which is the GCF of 36a2b and

54ab2c? 8.1.c A B C D 1944a3b3c 54abc 18abc 18ab A 360° B 100°

105°

?

C 95° D 75°

52 During the previous five months a car

salesman earned the following commissions.

49 The AmSouth Plaza building located in

Jackson is 318 feet tall. If you build a scale model that stands 6 inches tall, how many feet does each inch represent in the scale model? 8.4.b A B C D 53 ft 106 ft 159 ft 1908 ft

$1850, $2000, $300, $2370, and $1900 Which measure of central tendency best describes these commissions? 8.5.b A B C D Range Mode Mean Median Go on

12 Mastering the MCT2, Pre-Algebra (Grade 8)

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Diagnostic Test

53 What is the equation of a line parallel to

(continued)

56 In the figure, line a is parallel to line b.

Which angles are supplementary to 4? 8.3.a

-6x + 2y = 10 with a y-intercept of -2? 8.2.e 1 A y = _x - 2 3 1 B y = -_x - 2 3 C y = 3x - 2

c

1 2 3

4 5 6 8 7

a b

D y = -2x + 3 A B C D 1, 3 1, 3, 5, 7 2 2, 6, 8

54 What is the perimeter of the rectangle

below if a = 13 inches and b = 10 inches? 8.1.d

57 What is the correct way to simplify this

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

expression? 8.1.e

2a - b

x7 _ x4 A Multiply the exponents B Divide the exponents C Subtract the exponents D Add the exponents

-a + 2b

A B C D

7 in. 16 in. 46 in. 112 in2

58 What is the value of the expression

below when x = -2? 8.2.a -x + x2 -3x3

55 Which expression is equivalent to

(x - y)2? 8.2.h A B C D x2 - 2xy + y2 x 2 - y2 x 2 + y2 x2 - 2xy - y2

A B C D

30 26 -18 -22 Go on

Mastering the MCT2, Pre-Algebra (Grade 8)

13

Name

Date

Diagnostic Test

59 What view of Figure A does Figure B

represent? 8.3.e

(continued)

60 Which expression is equivalent to

2 4x6 12y _ · _?

3y4

2x2

8.1.e

A B A B C D Back Side Top Front C

48x6y2 _ 6x2y4 8x4 _ y2 8x6y2 _

x2y4 48x4 D _ 6y2

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

14 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 1: Number and Operations

Define, classify, and order rational and irrational numbers and their subsets. (DOK1)

8.1.a

4

Which number is NOT rational? A 24 -- B 0.01 C - 16 7 D _ 8

1

Which list shows the following numbers ordered from least to greatest? 3 - , -1.51, -0.021, - 4 , -0.02 2 3 A -_ , -1.51, -0.02, -0.021, -R4 2 3 B - 4 , -1.51, -_, -0.021, -0.02 2 3 C -0.02, -0.021, -_, - 4 , -1.51 2 3 D -1.51, - 4 , -0.021, -_, -0.02 2

_

5

Which answer choice is another way to write the repeating decimal 2.056363...? A B C D 2.056363 ----- 2.056363 --- 2.0563 -- 2.0563

2

Which statement best describes the set of integers? A Any number that can be written as the a quotient of two integers, _ , where b is b not zero. B They are numbers whose decimal form neither terminates nor repeats. C The set {0, 1, 2, 3, ...}. D They are the whole numbers and their opposites.

6

Which is the graph of the set of numbers listed below? {1.1, - 3 , 2 , 1.01, -1.7}

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A

-1.7 -2 - 3 -1 0

1.01 1 2 1.1 1.1 -1 0 1 2 1.01

1.01 -1 0 1 2 1.1 2

2

B

3 - -2 -1.7

2

3

Which rational number lies between - 60 and -7.74? A B C D -7.752 -7.746 -7.744 -7.69

C

- 3 -2 -1.7

D

-1.7 -2 - 3 -1 0

1.1 1 2 1.01 2

Mastering the MCT2, Pre-Algebra (Grade 8)

15

Name

Date

Practice by Competency

Competency 1: Number and Operations (continued)

8.1.b Formulate and solve standard and real-life problems involving addition, subtraction, multiplication, and division of rational numbers. (DOK2)

3

Reed earned 52 out of 90 possible points on his math test. Passing is 55%. Did he pass? If he did pass, what was his score? A B C D No Yes; 60% Yes; 58% Yes; 68%

1

A baseball player's batting average is found by dividing the player's total number of hits by the player's total number of at bats. The resulting decimal is then rounded to the nearest thousandth. The table below shows the number of at bats and hits for three baseball players. What is Renee's batting average?

Player A'isha Renee Francisco At Bats 210 180 200 Hits 70 35 60

4

3 Last evening Maria ate _ of a pizza. In 1 16 the morning she ate _ of what remained. 4 What part of the original pizza did Maria eat in the morning? A B 13 _ 16 1 _ 4 C D 3 _ 16 13 _ 64

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A B C D

0.194 0.300 0.333 5.143

5

The label on a medicine bottle lists the dosage as one-half ounce per 10 pounds of body weight. How many ounces is the proper dosage for a child weighing 90 pounds? A 4 oz B 4.5 oz C 7.5 oz D 9 oz

2

Monday evening you studied math from 6 p.m. to 6:45 p.m. and social studies from 7:00 p.m. to 8:30 p.m. While you were studying social studies, you took a 15 minute break. How long did you actually spend studying? 3 A 1_ hr 4 B C 2 hr

6

1 - What is the sum of _, 0.3, and 0.1? 2 5 1 _ A C _ 60 6 14 1 _ _ D B 16 15

1 2_ hr 4 1 D 2_ hr 2

16 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 1: Number and Operations (continued)

Apply the concepts of Greatest Common Factor (GCF) and Least Common Multiple (LCM) to monomials with variables. (DOK2)

8.1.c

5

The volumes of two cubes are w2x3y cubic units and 6wxy cubic units. What is the greatest common factor of these volumes? A 6wxy B wxy C 6w3x4y2 D 6w2x3y

1

What is the greatest common factor of 6u2v3, 3uv2, and 9uv? A B C D uv 162u2v6 18u2v3 3uv

6

What is the least common multiple of the areas of these rectangles?

2ab

2

What is the least common multiple of 8x2y, 4xy, and 2x3y? A B C D 8x3y 64x6y 4xy 2xy A B C D 4a3b2 8a3b2 12a4b2 24a4b2

2a 4a 2b 6a 3b 2

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3

Which pair of monomials has a greatest common factor of 4a2? A B C D 4a2, 9a2 12a3b2, 8a2c a2, 2ab 4a, 8ab2

7

Which pair of monomials has a greatest common factor of 1? A 6uv, 2mn2 B 11pq, p C 3xyz, 7abc D 7cd2, 21a

8 4

Which pair of monomials has a least common multiple of 21m2n3? A B C D 3mn, 7mn2 7mn, 21m2n 7m2n2, 21mn3 21m2n3, 2m

Which answer choice identifies the relationship the monomial ax3 has with the monomials 16a2x3 and 3ax3? A B C D Greatest common factor Least common multiple Product Quotient

Mastering the MCT2, Pre-Algebra (Grade 8)

17

Name

Date

Practice by Competency

Competency 1: Number and Operations (continued)

8.1.d Simplify and evaluate expressions using order of operations and use real number properties to justify solutions. (DOK2)

5

The formula to convert a temperature measured in degrees Celsius, C, to one measured in degrees Fahrenheit, F, is 9 F = _C + 32. If C = -45°, what is F? 5 A B C D 113° 77° -49° -373°

1

Which step is the first listed in the order of operations? A Multiply and divide from left to right. B Evaluate powers. C Evaluate expressions inside grouping symbols. D Add and subtract from left to right.

6 2

Which operation is done first when simplifying this expression? 5 · 3 - 23 + 4 ÷ 2 A 23 B 5·3 C 4÷2 D 3-2

If the product of three integers is negative, which of the following must be true? A B C D All three integers are negative. At least one of the integers is negative. All three integers are positive. Two of the integers are negative.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3

What is the simplified value of the expression?

7

What should be the third step in simplifying the expression? 125 ÷ 52 + 4 · 10 A B C D 4 · 10 52 125 ÷ 5 5 + 40

_

28 - 23 4-6 A -6912 B -10 C -2 D 2

4

What is the value of the expression below when x = 3, y = -2, and z = -3?

_

-x2y -2z A -3 B -2 C 2 D 3

8

Which is the simplified product of xy · xy · xy · xy? A B C D 4xy x4y xy4 x4y4

18 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 1: Number and Operations (continued)

Explain the rules of exponents related to multiplication and division of terms with exponents. (DOK2)

8.1.e

3

Which of the answer choices is the simplified expression for ((2 a2)3)4? A B C D 4096a24 4096a9 2a24 24a9

g _?

20

1

For all integers x and y and any nonzero bx number b, what does y equal? b

_

A B C D

bxy bx+y bx-y x _ by

4

What is the correct way to simplify A B C D Add the exponents Subtract the exponents Multiply the exponents Divide the exponents

g4

2

Aaron, Shontal, Yuma, and Xia are ab(ab)2 simplifying _ as shown. Who did a2b the problem correctly?

Aaron

ab(ab)2 2a 2b 2 = 2 = 2b a 2b a b

5

If the area of a rectangle is 30w6x4 and the width is w2x, what is its length? A B C D 30w8x5 w 2x 30w4x3 30

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Shontal

ab(ab)2 a 3b 3 = 2 = ab 2 a 2b a b

Yuma

ab(ab)2 a 4b 4 = 2 = a 2b 3 a 2b a b

Xia

ab(ab)2 a 3b 3 = 2 = a 5b 4 a 2b a b

6

What is the simplified expression for -x0? A B C D -1 0 1 undefined

A B C D

Aaron Shontal Yuma Xia

7

For all integers x and y and any number b, what does bx · by equal? A b x-y B b x+y C by D b xy

x _

Mastering the MCT2, Pre-Algebra (Grade 8)

19

Name

Date

Practice by Competency

Competency 1: Number and Operations (continued)

8.1.f

Recognize and appropriately use exponential and scientific notation. (DOK1)

5

1

It is estimated that Lake Michigan contains approximately 1,300,000,000,000 gallons of water. What is this number written in scientific notation? A 1300 × 109 B 0.13 × 1013 C 13 × 1011 D 1.3 × 1012

Suppose the United States Treasury Department produces 1,000,000 dimes daily. Each dime is 1.35 millimeters thick. If you stacked one day's production, how tall would that stack be? A B C D 1.35 × 104 mm 1.35 × 105 mm 1.35 × 106 mm 1.35 × 107 mm

2

What is the simplified product (in scientific notation) of the expression below? (9.2 × 107) (8.7 × 10-2) A 8.004 × 10-13 C 8.004 × 106 B 80.04 × 105 D 8 × 106

6

Approximately 51,200,000,000 cubic feet of water flows from the Mississippi River into the Gulf of Mexico each day. What is this number written in scientific notation? A 5.12 × 1010 B 51.2 × 109 C 512 × 108 D 0.512 × 1011

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3

Which expression has the least value? A -1.2 × 10-6 B -1.2 × 10-5 C -1.2 × 107 D -1.2 × 108

7

A tiny biting fly known as the no-seeums beats its wings 1,046 times per second. Approximately how many beats per hour would this be? A 1 × 103 B 6.3 × 104 C 3.8 × 106 D 9 × 107

4

It was once estimated that starting with 2 flies in April there would be approximately 191,000,000,000,000,000,000 flies by August. Which answer choice represents this number written in scientific notation? A 191 × 1018 B 1.91 × 1020 C 19.1 × 1019 D 1.9 × 1020

8

Mount Everest is 29,035 feet tall. Which expression approximates this height in scientific notation? A B C D 2.9 × 104 2.9 × 103 29,000 29 × 102

20 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 1: Number and Operations (continued)

8.1.g Explain and use the inverse relationship between square roots and squares. (DOK2)

5

Which model represents the inverse of 32? A

1

The area of a square garden is 900 square feet. What is the length of one side of the garden? A 450 ft B 300 ft C 225 ft D 30 ft

B C D

2

Between which two integers does 101 lie? A B C D 8, 10 9, 10 10, 11 100, 102

6

Which best describes the square root of a number n? A B C D a number m such that m2 = n a number m such that m = n a number m such that m = n2 a number m such that m = n

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3

If a number is squared and the result is squared, the final number is 50,625. What is the original number? A 10,125 B 2025 C 225 D 15

7

If you take the square root of a number and then take the square root of the result, the final number is 11. What is the original number? A B C D 14,641 3660.25 1331 121

4

The area of a circle can be found using the formula, A = r2, where A is the area and r is the radius. Which answer choice represents this equation correctly solved for r in terms of A? A A r2 = _ B r= A _ C r = A D r= _ A

Mastering the MCT2, Pre-Algebra (Grade 8)

21

Name

Date

Practice by Competency

Competency 2: Algebra

Simplify and evaluate numerical and algebraic expressions. (DOK1)

8.2.a

4

What is the value of a - b(ab + b) when a = 3 and b = -2? A B C D 24 21 9 -13

1

What is the value of the expression? 20 ÷ 5 + 3 · 8 + 2 A B C D 98 58 34 30

5

Which member of the set below is the solution to 1 x + 1 = - 1 ?

2

The Biloxi Lighthouse was built in 1848. Suppose you consider the shape of the lighthouse to approximate the shape of a right circular cylinder with a height of 61 feet and a diameter of 18 feet. Using the equation, V = r2h, what is the volume of the lighthouse to the nearest tenth? Use 3.14 for .

_ _ _ 2 4 8 3 3 1 7 - _, -_, _, _

8 4 4 2

7 A -_ 8 3 _ B 4

C D

3 _ 4 1 _ 2

6

A B C D 15,514.7 ft3 62,059.0 ft3 105,155.5 ft3 210,310.9 ft3

What is the value of the expression? 3[5 - 2(4)]2 A B C D 432 72 27 -27

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3

What is the value of the expression? 4 -2·3 _

2 2

-12

7

What is the value of the expression? [-(-4)]2(-1) A 16 B 4 C -4 D -16

A B C D

126 2 -2 -126

22 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 2: Algebra (continued)

8.2.b

Apply properties of real numbers with an emphasis on the distributive properties of multiplication over addition and subtraction. (DOK1)

5

What is the area of the figure shown below?

d

1

Which of the following equations illustrates the distributive property properly? A B C D a(b - c) = ab - c -3(x - 2) = -3x + 6 4(x + y + 2) = 4x + 4y + 2 7 - (w - 2) = 7 + -w - 2

2c

b a

A ab + 2ac + ad C 2a + 2b + 4c + 2d B ab + ad D a2 + b2 + 4c2 + d2

2

Which expression shows using the distributive property to simplify 1 12 · 7? 7 1 1 A 12 + _ · 7 C 7 · 12_ 7 7 1 1 10 + 2_ · 7 D 7 · 10 + 2_ B 7 7

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

( _) ( (

6

)

)

( ) ) (

7

Which expression is equivalent to x(-2x2 + x)? A -2x3 + x B -x2 + 2x C -2x3 + x2 D 2x2 + x

3

If the width of a rectangle is u and its length is 2u + 3, what is its area? A 3u + 6 B 4u + 6 C 2u2 + 3 D 2u2 + 3u

Which of the following equations does NOT illustrate the use of the distributive property properly? A B C D a(b + 3) = ab + 3a (1 - x)(y) = y - xy -(q + p) = -q + -p -2(x - y - 2) = -2x + 2y - 2

4

Which equation does NOT illustrate the distributive property for all real numbers a, b and c? A B C D

8

a(b + c) = ab + ac a(b - c) = ab - ac (b + c)a = b + ca (b - c)a = ba - ca

Which answer choice is equivalent to (2 - x)(-3)? A -6 + 3x B 6 + 3x C 2 + 3x D 6 - 3x

Mastering the MCT2, Pre-Algebra (Grade 8)

23

Name

Date

Practice by Competency

Competency 2: Algebra (continued)

8.2.c Solve and check equations and inequalities using one variable. (DOK2)

5

What is the solution to the equation -2a + 2 = 4(a - 4)? A -9 B -7 C -3 D 3

1

What is the solution to -2a - 5 = -21? A -13 B -8 C 8 D 13

6 2

Which is NOT a solution to the inequality 10 -2y + 4? A -5 B -4 C -3 D -2

The Mississippi River is the second longest river in North America. If M represents the length in miles of the Mississippi River in the equation 5(M + 5) = 11,625 what is the length of the river? A 2315 mi B 2320 mi C 11,575 mi D 11,600 mi

3

The area of the triangle shown below is 21 square feet. What is the height of the triangle?

7

Each side of a regular pentagon measures 3x - 4 inches. If the perimeter of the pentagon is 55 inches, what is the value of x? A 5 B 11 - C 13.3 D 205

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

(2x - 1) ft

6 ft

A 3 ft B 4 ft

C 7 ft D 12 ft

8

What is the solution to the inequality -3x - 1 < 5x - 33? A x < -4 B x<4 C x>4 D x > -4

4

Which inequality and solution represent the following statement? One more that five times a number n is at least 36. A B C D 5n + 1 36; n 7 5n + 1 > 36; n > 7 n + 5 36; n 31 n + 5 < 36; n < 31

9

What is the solution to the inequality -y > y? A B C D No solution All real numbers All positive numbers All negative numbers

24 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 2: Algebra (continued)

Model inequalities (and their solutions) on a number line. (DOK1)

8.2.d

3

Which table satisfies the following conditions?

y

1

The inequality 0 < C 7 represents the number of cities C in Mississippi with a population P that satisfies the inequality 34,000 P 185,000. Which graph represents the possible values of C? A B C D

0 5 10

x

A

0 5 10

x y

0 -2

1 0

2 4

3 5

0

5

10

B

x y

-3 -1

0 -2

5 -3

8 -4

0

5

10

C

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

x y

5 4

7 1

9 -2

11 -3

2

Which inequality represents the graph shown below?

-5 0 10

D

x y

0 -5

3 -2

7 0

9 -3

A B C D

a<1 a1 - a 0.9 a<0

4

Which inequality represents the graph shown below?

-1 0 3.5 5 10

A B C D

x 3.5 x>3 x > 3.5 x>4

Mastering the MCT2, Pre-Algebra (Grade 8)

25

Name

Date

Practice by Competency

Competency 2: Algebra (continued)

8.2.e Graph linear equations and non-linear equations (y = x2) using multiple methods including t-tables and slope-intercept. (DOK2)

2

What are the x- and y-intercepts of the graph of -6x + 4y = 12? 3 A x-intercept: _, y-intercept: 3 2 B x-intercept: -2, y-intercept: 3 3 C x-intercept: -3, y-intercept: _ 2 D x-intercept: 3, y-intercept: -2

1

Which graph is based on the following function table?

x y -3 7

y

-1 3

1 -1

3 -5

A

3

x

Which is the graph of y = -2x2? A

y x

B

y

B

x

y

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

C

y

x

C

x

y x

D

y

D

x

y

x

26 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 2: Algebra (continued)

8.2.f Given a linear graph, identify its slope as positive, negative, undefined, or zero, and interpret slope as rate of change. (DOK2)

5

If the graph of a line rises from left to right, which of the following answer choices describes the line's slope? A Zero B Undefined C Negative D Positive

1

How would you describe the slope of a vertical line? A Positive B Undefined C Negative D Zero

6

Which term describes the slope of a horizontal line? A Zero B Undefined C Positive D Negative

2

The estimated population of Mississippi in 2000 was approximately 2,800,000 and in the year 2005 it was estimated to be 2,900,000. What is the rate of change in the population, in people per year, from 2000 to 2005? A 2,900,000 B 1,000,000 C 20,000 D 5

7

The per-capita income of the rural population in Mississippi increased from $22,657 in 2004 to $22,983 in 2005. What was the rate of change in income from 2004 to 2005? A $326/yr B $163/yr C 1 yr D 2005

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3

Which answer choice describes the slope of the line graphed below?

y

8

x

Which answer choice describes the slope of the line graphed below?

y

x

A Undefined B Zero

C Positive D Negative A Undefined B Zero C Positive D Negative

4

Carlita grew 6 inches in the last two years. What was her growth rate? A 6 in./yr B 3 in./yr C 2 yr D 6 in.

Mastering the MCT2, Pre-Algebra (Grade 8)

27

Name

Date

Practice by Competency

Competency 2: Algebra (continued)

8.2.g

Determine slope, x-intercept, and y-intercept from a graph and/or equation in slope-intercept or standard form. (DOK1)

5

What are the x-intercept and y-intercept of the line graphed below?

y

1

What is the y-intercept of the graph of 4x - 2y = 10? A -5 B 1 -_ 2 C D 1 _ 2 5 A B C D x-intercept: none, y-intercept: -3 x-intercept: -3, y-intercept: 0 x-intercept: -3, y-intercept: none x-intercept: 0, y-intercept: 0

x

2

What is the slope of the line that is the graph of -18 = 2x - y? A 18 B 2 C -2 D -18

6 3

What is the slope of the line graphed below?

y

Which line does NOT have the same slope as the other three? a. -x + 2y = -8

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1 b. y = -_ x + 2 2 c. 2x - 4y = 1 d. -7x + 14y = -2 A a B b C c D d

x

2 A -_ 3 B -2

C -3 D -6

6

What is the slope of the line graphed below?

y

4

What is the x-intercept of the line with equation y = 1 x - 1?

_

4

x

A -1 B 1 _ 4

C 1 D 4 A Undefined B 2 C 1 D 0

28 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 2: Algebra (continued)

Add, subtract, and multiply monomials and binomials. (DOK1)

8.2.h

6

What is the perimeter of the figure shown below?

1

What is the sum of 5x2 + x and -2x2 - 3x - 1? + 4x + 1 C - 4x - 1 A B 3x2 - 2x - 1 D 3x4 - 2x2 - 1 7x2 -7x2

2x

3x - 2

4x + 2

4x - 2

2

What is the product of 4u2w and -w2 - u? A B C D -4u2w3 - 4u3w 4u2w - w2 - u 4u2w3 + 4u3w -4u2w + w2 + u

A 16x + 2 B 16x - 4

C 16x2 D 16x

7

What is the simplified expression for (x - 2)(x + 2)? A x2 - 4 B x2 - 4x - 4 C x2 + 4x + 4 D x2 + 4

3

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

The length of each edge of a cube is a2. What is the volume of the cube? A a2 B 3a2 C a5 D a6

8

What is the area of the trapezoid shown below?

w+2 w

4

What is the difference when you subtract y3 - 1 from -4y3 + y? -y-1 C +y+1 A 3 + y + 1 D -3y6 + y + 1 B -3y 5y3 -5y3 A 4w2 + 4w B 5w + 4

3w + 2

C 2w2 + 2w D 1 _ w2 + w 2

5

What is an equivalent expression for (3 - 2y)2? C 6 - 4y A 9 + 4y2 2 D 9 - 4y2 B 9 - 12y + 4y

9

What is the simplified expression for (y - 1) - (1 - y) - (y - 1)? A 0 B 3y - 3 C 1-y D y-1

Mastering the MCT2, Pre-Algebra (Grade 8)

29

Name

Date

Practice by Competency

Competency 2: Algebra (continued)

Predict characteristics of a graph given an equation or t-table. (DOK2)

8.2.i

4

1

Which of the following characteristics describes the graph of y = x2 + 1? A It rises from left to right, then falls, and crosses the x-axis at 1. B It falls from left to right, then rises, and crosses the y-axis at 1. C It rises from left to right, then falls, and crosses the y-axis at 1. D It falls from left to right, then rises, and crosses the x-axis at 1.

The table below shows the urban population in the state of Mississippi during several years. If you were to graph the data, with year being the domain and population being the range, which of the following characteristics would describe the line graph?

Year 1980 1990 2000 2006(est.) Population 949,871 1,024,202 1,194,552 1,262,210

2

Which of the following characteristics describes the graph of 3x + y = -6? A It rises from left to right and crosses the x-axis at -6. B It falls from left to right and crosses the y-axis at -6. C It rises from left to right and crosses the y-axis at 1. D It falls from left to right and crosses the x-axis at 3.

A The data points lie on a vertical line. B The data points lie on a horizontal line. C The data points lie on a graph that falls from left to right. D The data points lie on a graph that rises from left to right.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

5

Which of the following characteristics describes the graph of y = 3.5? A B C D The line is vertical. The y-intercept is 3.5. The x-intercept is 3.5. The slope of the line is positive.

3

Which of the following characteristics describes the graph of the line passing through the points found in the table below?

x y 0 -2 7 0

6

Which of the following characteristics describes the graph of the line passing through the points (2, -4) and (2, -8)? A B C D The line is vertical. The slope of the line is zero. The line has a y-intercept of -4. The line has a y-intercept of -8.

A B C D

The slope of the line is positive. The slope of the line is negative. The line has a y-intercept of 7. The line has a x-intercept of -2.

30 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 3: Geometry

8.3.a Locate and identify angles formed by parallel lines cut by a transversal(s) (e.g., adjacent, vertical, complementary, supplementary, corresponding, alternate interior, and alternate exterior.) (DOK1)

4

The figure below is a rectangle with its diagonals drawn. Which answer choice represents the relationship between 1 and 2?

1 2

1

The side of a barn has vertical siding as shown in the figure below. Which statement describes the relationship between 1 and 2?

1 2

A 1 and 2 are vertical angles. B 1 and 2 are alternate exterior angles. C 1 and 2 are corresponding angles. D 1 and 2 are adjacent angles.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A B C D

1 and 2 are vertical angles. 1 and 2 are alternate exterior angles. 1 and 2 are corresponding angles. 1 and 2 are adjacent angles.

5

-- AG is an interior diagonal of the cube shown below. Which answer choice represents the relationship between EAG and CGA?

2

In Jackson, East Broadway Avenue and East Simpson Avenue run east and west. South Jackson street intersects both of them running north and south. How many pairs of vertical angles are formed by the three streets? A 5 B 4 C 3 D 2

3

If two parallel lines are cut by a transversal, which term describes the angles formed that lie outside of the interior of the parallel lines? A Vertical C Interior B Complementary D Exterior

A EAG and CGA are corresponding angles. B EAG and CGA are alternate exterior angles. C EAG and CGA are alternate interior angles. D EAG and CGA are adjacent angles.

Mastering the MCT2, Pre-Algebra (Grade 8)

31

Name

Date

Practice by Competency

Competency 3: Geometry (continued)

8.3.b Find missing angle measurements for parallel lines cut by a transversal(s) and for a vertex of a polygon. (DOK1)

5

1

What is the measure of an interior angle of a regular octagon? A 120° B 128.6° C 135° D 140°

The Old Vicksburg Bridge carries the Kansas City rail line across the Mississippi River in Vicksburg. The bridge appears perpendicular to both banks of the river. What is the measure of each of the corresponding angles formed by the bridge and the two parallel banks? A 150° B 145° C 120° D 90°

2

If two parallel lines are cut by a transversal, which answer choice is true for pairs of corresponding angles? A They are interior angles. B They are supplementary. C They are congruent. D They are exterior angles.

6

In the figure below, lines m, n, and p are parallel. If the measure of 2 is 65°, what is the measure of 3?

1

2 3

m n p

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3

If 1 and 2 are alternate interior angles formed by two parallel lines and the m2 = 60°, what is the measure of 1? A 120° B 90° C 60° D 30° A 25° B 115°

C 155° D 165°

7 4

What is the sum of the measures of the interior angles of the polygon shown below?

What is the sum of the measures of the interior angles of a triangle? A 360° B 200° C 180° D 90°

8

What is the measure of an exterior angle of a regular hexagon? A 145° B 120° C 90° D 60°

A 540° B 720°

C 900° D 1080°

32 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 3: Geometry (continued)

8.3.c Explain the Pythagorean Theorem and apply it to solve routine and non-routine problems. (DOK3)

4

In the figure below BC = 17 centimeters. To the nearest tenth of a centimeter, -- what is the length of EC?

7 cm 7 cm

1

If the measures of the legs of a right triangle are a and b and the measure of the hypotenuse is c, which equation represents a true relationship for a, b, and c? A a+b=c B 2a + 2b = 2c C a2 + b2 = c2 D a + b = c

24 cm

A B C D

25 cm 18.4 cm 14 cm 9.9 cm

2

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Keisha and Aponi are trying to determine if a right triangle could have side measures of 3 feet, 4 feet, and 5 feet. Who is incorrect, and in what step did she first make her mistake?

Keisha Step 1. a 2 + b 2 = c 2 2. 32 + 42 = 52 3. 9 + 16 = 25 4. 25 = 25 Aponi Step 1. a 2 + b 2 = c 2 2. 32 + 52 = 42 3. 9 + 25 = 16 4. 34 16

5

A rectangular picture frame measures 15 inches by 36 inches. What is the length of the diagonal of the frame? A B C D 7.1 in. 39 in. 39.2 in. 51 in.

6

A B C D

Aponi, Step 2 Keisha, Step 2 Keisha, Step 3 Aponi, Step 4

3

If the legs of a right triangle are 20 meters and 48 meters long, what is the length of the hypotenuse? A B C D 8.2 m 28 m 52 m 68 m

Much of Biloxi is located in a rectangular area bounded by interstate 10 on the north, U.S. highway 90 on the south, state highway 605 on the west, and interstate 110 on the east. The width of the rectangle is 13 kilometers and the length is 7 kilometers. What is the length of the diagonal of the rectangle formed by these roads? A B C D 4.5 km 14.8 km 20 km 91 km

Mastering the MCT2, Pre-Algebra (Grade 8)

33

Name

Date

Practice by Competency

Competency 3: Geometry (continued)

8.3.d Solve real-world and non-routine problems involving congruent and similar figures. (DOK3)

3

If ABC is congruent to DEF and AB = 3 feet, BC = 8 feet, and CA = -- 9 feet, what is the length of EF? A 9 ft B 8 ft C 4 ft D 3 ft

1

Acme Shoebox manufactures two shoeboxes that are similar. If the dimensions of one box are 10 inches by 14 inches by 6 inches, which of the following could be the dimensions of the other shoebox? A B C D 5 in. by 7 in. by 3 in. 12 in. by 16 in. by 8 in. 8 in. by 12 in. by 4 in. 10 in. by 8 in. by 6 in.

4

Which of these components of the American flag do NOT represent congruent figures? A B C D 50 stars Short stripes Long stripes Short and long stripes

2

Suppose the triangle shown below is translated 3 units to the right and 2 units down? Which of the following answer choices is true?

y

5

The shape of Kevin's garden is congruent to the shape of Zackary's garden. The shape of Zachary's garden is similar to the shape of Savanna's garden. What is the relationship between Kevin's and Savanna's garden? A Kevin's garden is smaller than Savanna's garden. B Kevin's garden is bigger than Savanna's garden. C They are congruent. D They are similar.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

x

A The image is similar but not congruent to the pre-image. B The image is located entirely in the fourth quadrant. C The image is congruent to the pre-image. D The area of the image is different from the area of the pre-image.

6

The volume of Box 1 is 504 cubic inches. If Box 2 is congruent to Box 1 and has a length of 9 inches and a width of 7 inches, how tall is it? A 8 in. B 12 in. C 56 in. D 63 in.

34 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 3: Geometry (continued)

8.3.e Use two-dimensional representations (nets) of three-dimensional objects to describe objects from various perspectives. (DOK2)

5

Figure 2 is what view of Figure 1?

1

How many squares are in the net of a cube? A 3 B 4 C 5 D 6

Figure 1

Figure 2

A Top B Back

C Front D Side

2

What solid does the net shown below represent?

6

What solid does the net shown below represent?

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A B C D

Triangular prism Triangular pyramid Cylinder Cone

A Rectangular pyramid B Rectangular prism

C Trapezoidal prism D Trapezoidal pyramid

3

What are the shapes found in the net of a cylinder? A B C D circle, triangle triangle, rectangle rectangle, trapezoid circle, rectangle

7

What polygon is visible when looking at the side view of a triangular prism? A Triangle B Octagon C Rectangle D Circle

4

What solid is described by a net that contains 6 rectangles and 2 regular hexagons? A B C D Hexagonal pyramid Hexagonal prism Heptagonal pyramid Heptagonal prism

8

What figure is visible when looking at the top view of a sphere? A Square B Line C Point D Circle

Mastering the MCT2, Pre-Algebra (Grade 8)

35

Name

Date

Practice by Competency

Competency 4: Measurement

8.4.a Solve real-world application problems that include length, area, perimeter, and circumference using standard measurements. (DOK2)

5

What is the area of the garden shown below?

2 in. 2 in.

1

The radius of the outer circle in the center of a basketball court is 6 feet. Rounded to the tenths place, what is the area of the circle? A 113 ft2 B 37.7 ft2 C 18.8 ft2 D 3 ft2

4 in.

2 in. 4 in.

2 in.

A 64 in2 B 48 in2

C 32 in2 D 16 in2

2

Soccer is played on a rectangular field that is no more than 80 yards wide and no less than 65 yards wide. The length is no more than 120 yards and no less than 110 yards long. What is the least perimeter possible? A 350 yd B 370 yd C 380 yd D 390 yd

6

In a triathlon, 18.6% of the distance in the race is a run, 1.7% is a swim, and 79.7% is a bike ride. If the swim is 2.4 miles long, approximately how far do the participants run?

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A 21.1 mi B 26.3 mi

C 112.5 mi D 140.6 mi

3

The radius of the planet Venus is approximately 6052 kilometers. What is its circumference? A 12,104.3 km B 19,003.3 km C 38,006.6 km D 42,510.1 km

7

A plane intersects a cylinder perpendicular to the cylinder's base passing through the center of both bases as shown. What is the area of the cross section created by this intersection?

4

A triangular sail has a base of 15 feet and a height of 20 feet. What is the area of the sail? A 300 ft2 B 150 ft2 C 70 ft2 D 35 ft2

5 in.

20 in.

A 31.4 in2 B 78.5 in2

C 100 in2 D 200 in2

36 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 4: Measurement (continued)

8.4.b Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios. (DOK3)

5

1

The scale on a map of Mississippi is 2 centimeters equals 30 miles. On the map, the approximate length of Interstate 55 from where it enters Mississippi from the north to where it exits Mississippi on the south is 19 centimeters. What is the length of Interstate 55 in miles? A 285 mi B 300 mi C 570 mi D 1045 mi

Nichole is 12 inches shorter than her sister who is 60 inches tall. Taisha is 40 inches tall and knows that the ratio of her height to her own sister's height is the same as the ratio of Nichole's height to her own sister's height. How tall is Taisha's sister? A 32 in. B 50 in. C 52 in. D 72 in.

6

2

The scale model of a house is a rectangle that measures 8 inches by 12 inches. If each inch represents 2 feet, what are the dimensions of the house? A 24 ft by 36 ft B 8 ft by 12 ft C 4 ft by 6 ft D 16 ft by 24 ft

Airman Gannon stands beside a C-130 on the runway at Keesler Air Force Base. Gannon is 6 feet 3 inches tall and his shadow is 2 feet 1 inch long. The shadow of the plane is about 13 feet long. What is the height of the C-130? A 17 ft B 39 ft C 26 ft 2 in. D 42 ft 6 in.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

7 3

A professional basketball court is a rectangle measuring 90 feet by 50 feet. What are the dimensions of a scale model if 0.5 inches = 5 feet? A 9 in. by 5 in. C 36 in. by 20 in. B 18 in. by 10 in. D 45 in. by 25 in.

A circular flower bed has a radius of 14 feet. The circumference, in a scale model of the flower bed, is 175.84 inches. What is the relationship between feet in the real garden and inches in the scale model? A 2 in. = 1 ft B 1 in. = 2 ft C 4 in. = 3 ft D 0.5 in. = 1 ft

4

In a recipe, flour and sugar are in a ratio of 3 to 4. How much flour is needed if there are 19 cups of sugar? A 7c B 12 c C 14.25 c D 25.3 c

8

The ratio of length to width in a picture frame is 3:4. If the width is 84 inches, what is the length? A 42 in. B 63 in. C 83 in. D 112 in.

Mastering the MCT2, Pre-Algebra (Grade 8)

37

Name

Date

Practice by Competency

Competency 4: Measurement (continued)

8.4.c Use formulas and/or appropriate measuring tools to find length and angle measures (to appropriate levels of precision), perimeter, area, volume, and surface area of polygons, circles, spheres, cones, pyramids, and composite or irregular figures. (DOK1)

5

The figure below consists of two different sets of congruent rectangles. What is the area of the shaded figure?

4 in. 4 in.

1

What is the volume of a sphere with a radius of 9 centimeters? A 254.3 cm3 B 1017.4 cm3 C 2010.1 cm3 D 3052.1 cm3

2 in. 3 in. 18 in.

2

What is the surface area of a cube with edges measuring 5 meters? A 100 m2 B 125 m2 C 150 m2 D 175 m2

A 22 in2 B 48 in2

C 128 in2 D 176 in2

6

Which could be an angle measure in a right triangle?

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3

To the nearest tenth, what is the volume of a cone with a diameter of 2.4 inches and a height of 10 inches? A 4.5 in3 B 15.1 in3 C 60.3 in3 D 180.9 in3

A B C D

75°F 95°F 105°F 135°F

7 4

The radius of a quarter is 12.15 millimeters, and its thickness is 1.75 millimeters. If 10 quarters are stacked in the shape of a cylinder, what would be the volume of the cylinder rounded to the nearest hundredth? A 8111.86 mm3 C 811.19 mm3 B 4635.35 mm3 D 463.53 mm3

To the nearest tenth, what is the surface area of a sphere with a radius of 24.4 feet? A 76.6 ft3 B 153.2 ft3 C 1869.4 ft3 D 7477.7 ft3

8

If the perimeter of the base of a prism is 42 inches and its height is 11 inches, what is its lateral surface area? A 462 in2 B 121 in2 C 53 in2 D 31 in2

38 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 5: Data Analysis & Probability

8.5.a Use a given mean, mode, median, and range to summarize and compare data sets including investigation of the different effects that change in data values have on these measures. (DOK2)

4

The table below shows tips reported by three waiters at four different restaurants. Sandy is considering working for one of them. Which restaurant's mean tip report is misleading in terms of what Sandy can expect to earn in tips?

Restaurant Waiter #1 $18 $9 $21 $25 Waiter #2 $22 $86 $32 $22 Waiter #3 $27 $7 $22 $23

1

Which set would have a change in mode if 42 is added to each set? A B C D 12, 21, 8, 19 42, 11, 42, 11 22, 40, 40, 18 41, 43, 43, 41

Rose's Café Trevor's Mohammed's Crab Shack Catori's Dinner

2

The table below gives the area of four states. Which state, when removed from the list, will have the greatest affect on the mean size of the states?

State Arkansas Louisiana Mississippi Texas Square Miles 53,182 51,483 48,434 268,601

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A B C D

Rose's Cafe Trevor's Mohammed's Crab Shack Catori's Dinner

5

Which data set has the greatest range?

A B C D 15 55 2 2 44 13 29 61 19 17 53 12 113 88 101 96

A Arkansas B Louisiana

C Mississippi D Texas A A B B

3

Dylan has scored 14, 22, 18, and 26 points in each of the last four basketball games. If he would like his median score to remain the same, how many points does he need to score in his next game? A 28 B 22 C 20 D 18

C C D D

6

Which measure of central tendency changes when 29 is removed from the data list below? 7, 7, 15, 29, 43, 65, 71 A Range B Mode C Median D Mean 39

Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 5: Data Analysis & Probability (continued)

8.5.b Select the appropriate measures of central tendency for a particular purpose. (DOK2)

4

1

If you and five of your friends went out for pizza and split the bill evenly, what measure of central tendency describes how much each of you paid? A Range B Mean C Median D Mode

What measure of central tendency would you use to most accurately reflect your daily sales commissions, shown below, during the past five days? $111, $88, $120, $712, $88 A Range B Mode C Median D Mean

5

2

The highest point of elevation in Mississippi is Woodall Mountain with an elevation of 806 feet. The lowest point is the Gulf of Mexico, sea level, or 0 feet. If the mean elevation throughout the state is 300 feet, what measure of central tendency illustrates the spread of elevation? A Range B Mean C Median D Mode

After surveying your classmates about their favorite color, you found that 12 liked blue, 8 liked red, 11 liked yellow, and 6 liked orange. Which color is the mode? A Orange B Yellow C Red D Blue

6

3

Below is a list of your recent pre-algebra test scores. If you were trying to impress your friends, what measure of central tendency would you use to describe your scores? 63, 89, 56, 71, 89, 94 A Range B Mode C Median D Mean

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Angelina's eighth grade math class researched their local telephone book to determine which surnames were the most common. They found that the name Smith was the most common followed by Johnson, Williams, Brown, and Davis. Taking into consideration all of the surnames that might be found in her telephone book, which one would represent the mode? A Davis B Johnson C Smith D Miller

7

Using your recent pre-algebra test scores shown below, what measure of central tendency would you NOT use to best describe your scores? 63, 89, 56, 71, 89, 94 A Range B Mode C Median D Mean

40 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice by Competency

Competency 5: Data Analysis & Probability (continued)

8.5.c Make and list conjectures by calculating probability for experimental or simulated contexts. (DOK3)

4

The table below gives the probabilities of spinning each of 5 outcomes with a spinner. What is the probability your spin lands on Hen, Pig, or Ant?

Spinner Section Hen Pig Ant Probability 0.31 0.25 0.20 0.17 0.07

1

A bag contains 4 blue marbles, 12 red marbles, 6 green marbles, and 3 yellow marbles. What is the probability of reaching into the bag and NOT drawing a green marble? A 1 B 19 _ 25 C 6 _

Bee Cow

25 4 D _ 25

A 0.76 B 0.45

C 0.25 D 0.20

2

One of three events will take place. If the probability of event A taking place is 0.15 and the probability of event B taking place is 7 , what is the probability of the

_

20

5

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

third event taking place? A B 3 _ 20 0.3 C 0.35 D 0.5

A baseball batting average is found by dividing the player's number of hits by the player's number of times at bat. Suppose the player currently has 15 hits in 40 times at bat. If the player continues to hit at the same rate, how many more hits would the player expect to get after 120 more times at bat? A 60 B 45 C 30 D 15

3

You conduct a telephone survey to see how many people will vote for a candidate in the upcoming election. Out of the 200 people you randomly poll, 110 indicate that the candidate will receive their support. If 3200 people are expected to vote, how many votes would you expect the candidate to get? A 310 B 1600 C 1760 D 2200

6

If the probability of rain tomorrow is 0.70, what is the probability that it will NOT rain? A 1 B 0.70 C 0.30 D 0

Mastering the MCT2, Pre-Algebra (Grade 8)

41

Name

Date

Practice by Competency

Competency 5: Data Analysis & Probability (continued)

8.5.d Construct and interpret scatter plots to generalize trends from given data sets. (DOK3)

2

1

Which scatter plot would most likely reflect the sale of winter apparel? A

Sales of winter apparel ($)

$150 $100 $50 0 20° 40° 60° 80° 100°

The data in the table below shows the population of five states and the number of members of the U.S. House of Representatives they each have. Which statement best describes the correlation between population and representation?

State Est. 2005 Population 33,900,000 2,900,000 16,000,000 2,200,000 Number of Representatives 50 4 25 3

California Mississippi Florida Utah

Temperature

B

$150 $100 $50 0 20° 40° 60° 80° 100°

A B C D

Temperature

There is no correlation. There is a positive correlation. There is a negative correlation. The correlation is random.

Sales of winter apparel ($)

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

C

Sales of winter apparel ($)

$150 $100 $50 0 20° 40° 60° 80° 100°

3

The data in the table shows Rico's pre-algebra test scores and how much sleep he got the night before taking the test. Graph the data. Which generalization appears to be true?

Hours of Sleep Test Score 8 7.5 5.5 72 7 81

Temperature

96 90

D

Sales of winter apparel ($)

$150 $100 $50 0 20° 40° 60° 80° 100°

Temperature

A There is no correlation between sleep and test scores. B The more sleep Rico gets, the better his test scores. C Test scores decrease as sleep time increases. D There is a negative correlation between sleep and test scores.

42 Mastering the MCT2, Pre-Algebra (Grade 8)

Practice Test

Student Answer Sheet

Record your answers by coloring in the appropriate bubble for the best answer to each question. 1 2 3 4 5 6 7 8 9 10 11 12

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A A A A A A A A A A A A A A A A A A A A

B B B B B B B B B B B B B B B B B B B B

C C C C C C C C C C C C C C C C C C C C

D D D D D D D D D D D D D D D D D D D D

21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

A A A A A A A A A A A A A A A A A A A A

B B B B B B B B B B B B B B B B B B B B

C C C C C C C C C C C C C C C C C C C C

D D D D D D D D D D D D D D D D D D D D

41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

A A A A A A A A A A A A A A A A A A A A

B B B B B B B B B B B B B B B B B B B B

C C C C C C C C C C C C C C C C C C C C

D D D D D D D D D D D D D D D D D D D D

13 14 15 16 17 18 19 20

Mastering the MCT2, Pre-Algebra (Grade 8)

43

Name

Date

Practice Test

1

Terrell is taking his sister back to college. The table below shows their distance from home after various amounts of time. What is the average rate of change per hour of their distance from home between 2 and 5 hours?

Time (h) 1 2 3 4 5 Distance (mi) 60 120 180 240 300

3

A rectangle about 170 miles wide and 340 miles long could enclose the state of Mississippi. What is the area of this rectangle?

A B C D

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

300 mi 120 mi 60 mph 3h

A B C D

380 mi2 1020 mi2 28,900 mi2 57,800 mi2

2

Which of these best describes the set of rational numbers? A The set of natural numbers including 0. B The set of whole numbers and their opposites. C All numbers that can be expressed as ratios. D All numbers that can be expressed as a a ratio _, where b 0 and a and b are b integers.

4

If two parallel lines are cut by a transversal, what can always be said about alternate exterior angles? A B C D They are adjacent. They are complementary. They are supplementary. They are congruent.

5

What is the value of the expression below when a = -1 and b = -2? -a2b3 A B C D 8 4 -4 -8

Go on 45

Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice Test

6

(continued)

The table below gives the approximate population in 2005 of Mississippi and the four states that border it. Which of the statements is NOT true?

State Alabama Arkansas Louisiana Mississippi Tennessee Population 4,560,000 2,780,000 4,520,000 2,920,000 5,960,000

8

Which angles in the figure are corresponding angles with 2?

a

1 2 3 4 9 10 11 12

b

5 6 7 8 13 14 15 16

c d

A The population of Mississippi is less than the median population of the five states. B The range of the data is 3,180,000. C The data does not have a mode. D The population of Mississippi is greater than the mean population of the five states.

A 6, 10 B 3

C 1, 4, 5, 8 D 7

9

What is the x-intercept of the line graphed below?

4 3 2 1 -4-3-2 -2 -3 -4 y

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

7

A tree casts a shadow on the ground as shown in the figure below. To the nearest foot, how tall is the tree?

1 2 3 4x

A -3 B

60 ft

C 1 D 3

1 _ 2

10 You have 40 country songs and 70 jazz

40 ft

A B C D

45 ft 50 ft 65 ft 70 ft

songs on your MP3 player. You want to increase your jazz collection so that it represents 75% of your songs. How many jazz songs do you need to add? A 30 B 40 C 50 D 60

Go on

46 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice Test

6 a2b, 15ab2, and 2ab? A B C D ab 180a4b4 a2b2 30a2b2

(continued)

11 What is the least common multiple of

14 Which example correctly applies the

distributive property? A B C D 3(2x - 1) = 6x - 1 (1 - x)(2x) = 1 - 2x2 -4(x - 1) = -4x - 4 -a(-b - c) = ab + ac

12 The sales commissions earned by five

employees at a furniture store are $1100, $1350, $1750, $1800, and $4500. Which measure of central tendency best describes the commission earnings? A B C D

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

15 What is the surface area of the figure?

6 yd

5 yd

Mean Mode Median Range

3 yd

13 What is the measure of V in the

figure?

140° 110°

A 126 yd2 B 90 yd2

C 63 yd2 D 45 yd2

16 How many polygons make up the net of

a triangular pyramid? A 7 B 6 C 5 D 4

A B C D

90° 110° 140° 180°

17 What is the value of the expression

below? 10 - 2 _ - 4(2)

2

-3

A -12 B -10

C -6 D -4 Go on

Mastering the MCT2, Pre-Algebra (Grade 8)

47

Name

Date

Practice Test

(continued)

18 While practicing kicking field goals

today, Eric made 30 out of 45 attempts. How many field goals would you expect Eric to make tomorrow if he makes 99 attempts and succeeds at the same rate as today? A B C D 33 45 60 66

21 A diner near Natchez Trace Parkway

usually has 9 employees on duty. On a quiet day, one cook stays home. On a busy day, one extra waitress joins the staff. Which graph represents the possible number of employees on duty in the diner? A B C D

4 5 6 7 8 9 10 11 12 13

4 5 6 7 8 9 10 11 12 13

19 Which of the following statements is true

about the graph of the ordered pairs in the table?

x y -5 6 -3 4 0 1 3 -2 5 -4

4 5 6 7 8 9 10 11 12 13

4 5 6 7 8 9 10 11 12 13

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A The data points fall from left to right. B The data points rise from left to right. C All the points can be found in the first and second quadrants. D A line passing through the five points has a positive slope.

22 Mr. Fuentez raises tomatoes to sell at

the local Farmers' Market. Due to his success last year, he wants to multiply the area of his tomato garden, shown in the figure, by 3.1. What will be the area of the new garden?

10 ft

20 If you want to know how spread out the

data is in a set, which measure should you choose? A B C D Mode Range Mean Median A B C D 620 ft2 200 ft2 62 ft 31 ft

20 ft

Go on 48 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice Test

(continued)

23 How should the following statement be

rewritten to create a true statement? In a triangle, the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side. A In a right triangle, the sum of the squares of the lengths of the legs of the triangle is equal to the square of the length of the hypotenuse. B In a right triangle, the sum of the lengths of the legs of the triangle is equal to the length of the hypotenuse. C In a right triangle, the sum of the squares of the lengths of the legs of the triangle is equal to the length of the hypotenuse. D In a right triangle, the sum of the lengths of the legs of the triangle is equal to the square of the length of the hypotenuse.

25 The table shows the daily low temperature

for the first 14 days of June 2007 in Vicksburg. If these data were graphed, which statement best describes the trend seen in the graph?

Day 1 2 3 4 5 6 7 Temperature Day Temperature 58 61 59 67 62 59 73 8 9 10 11 12 13 14 76 72 71 66 65 66 66

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A The data points tend to be linear with zero slope. B The temperatures tend to fall over time. C The data points tend to be linear with undefined slope. D The temperatures tend to rise over time.

24 Which is the correct way to simplify this

expression? -3y4 · -2y2 A B C D -6y6 6y8 6y6 -5y4

26 A state park is 2.5 miles long and 0.5

miles wide. What is the area of the park? A B C D 1.25 mi2 2.5 mi2 3 mi2 6 mi2

Go on

Mastering the MCT2, Pre-Algebra (Grade 8)

49

Name

Date

Practice Test

_

(continued)

27 Which is the graph of the equation

1 y = x - 2? 3 A

4 3 2 1 -4-3-2 -2 -3 -4 y

28 A perfect square is a number that has a

whole number square root. The table shows the first 6 perfect squares. What is the seventh perfect square?

1 4 9 16 25 36

x 1 2 3 4

A B C D

45 49 55 64

B

4 3 2 1 -4-3-2 -2 -3 -4

y

29 To the nearest tenth, what is the volume

of a sphere with a radius of 6 inches?

1 2 3 4x

C

4 3 2 1 -4-3-2 -2 -3 -4

y

A B C D

2713 in3 1808.6 in3 904.3 in3 113 in3

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

30 What is the slope of the line graphed

1 2 3 4x

below?

y

D

4 3 2 1 -4-3-2 -2 -3 -4

y

x

1 2 3 4x

A B C D

Positive Undefined Negative Zero

Go on 50 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice Test

(continued)

31 In the semicircle shown below, the value

of z can be found using the equation

x z _ = _. If the diameter of the circle is z y

33 The table shows the approximate

number of milk cows in Mississippi during a five year span. Which statement is true?

Year 2002 2003 2004 Milk Cows 34,000 31,000 27,000 25,000 23,000

20 inches and x = 18 inches, what is the value of z?

z x y

2005 2006

A B C D

2 in. 6 in. 9 in. 28.26 in.

A The mean of the data is 28,000. B The number of milk cows is increasing. C The mode of the data is 23,000. D The median of the data is 28,000.

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

32 If you follow the order of operations

correctly, what should be the second step when simplifying the expression below? 7 - (22 · 5 - 8 ÷ 4) A B C D 8÷4 4·5 5-8 20 - 8

34 A rare stamp is 15 millimeters wide and

20 millimeters high. An enlarged photo of the stamp is 150 millimeters high. How wide is the photo of the stamp? A B C D 2 mm 112.5 mm 200 mm 225 mm

35 What is the solution to the inequality

shown below? -4a + 7 < -2a - 5 A B C D a>6 a<6 a>2 a < -2

Go on 51

Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice Test

(continued)

36 Attendance for five consecutive days at

The Tupelo Buffalo Park and Zoo was 2500, 3300, 2750, 3100, and 1800. Which measure of central tendency should be used to determine the typical attendance for these five days? A B C D Range Mode Mean Median

39 The radius of the moon is approximately

1080 miles. What is the approximate circumference of the moon? A B C D 13,564 mi 6782 mi 2160 mi 1080 mi

40 Which graph is the solution of the

inequality? -2(x - 10) < 24 A B C D

-5 -4 -3 -2 -1 0 1 2 3

37 The radius of the sun is approximately

697,000,000 meters. How do you write this number in scientific notation? A B C D 6.97 × 106 697 × 106 69.7 × 107 6.97 × 108

-5 -4 -3 -2 -1 0

1

2

3

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

-5 -4 -3 -2 -1 0

1

2

3

38 What is the probability of spinning a d

on the spinner shown below?

c d b c d a d b

-5 -4 -3 -2 -1 0

1

2

3

41 What is the measure of an interior angle

in an equilateral triangle? A B C D 180° 120° 90° 60°

A B C D

37.5% 25% 12.5% 0%

Go on 52 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice Test

(continued)

42 Which set of numbers is irrational?

A B C D -- - -- - -1.01, -0.9, 1.23, 1.8 1 4 7 10 _, _, _, _ 3 7 9 11 - 11 , - 3 , , 7 - 16 , - 0.01 , 1 _ , 13 4

45 Which answer best describes the data

points graphed below?

y

x

43 Sierra earned the following scores on her

first four algebra tests. 88, 92, 65, and 85 What will she have to earn on the fifth test if she wants her average to be at least 85?

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A B C D

The data points rise from left to right. The data points fall from left to right. The data points are somewhat linear. The data points follow no particular pattern.

46 What operations are performed on the

A B C D 95 90 85 80 exponents when simplifying the expression w4(w2)3? A B C D Multiply 2 times 3; then add 4 and 6. Add the 4, 2 and 3. Multiply the 4, 2, and 3. Multiply 4 times 2; then add 3.

44 What is the correct simplification of the

following expression? -4a2b3c3(3a3b4c2) A B C D -12a6b12c6 -12a5b7c5 -a5b7c6 12a6b12c6

47 The population of Gulfport is

approximately 71,127 people. If the city librarian wants to provide 3 books for every 7 citizens, how many books should the library have? A B C D 165,963 30,483 23,709 10,161 Go on

Mastering the MCT2, Pre-Algebra (Grade 8)

53

Name

Date

Practice Test

shown below?

2(2x - 1) x (6x + 5)

(continued)

48 What is the perimeter of the triangle

51 What is the greatest common factor of

the monomials in this sequence? 3y, 6y3, 12y5, 24y7, . . . A 2y B 2y2 C 3y D 6y3

2x (x + 4)

A B C D

12x4 + 17x - 2 8x2 + 9x - 2 8x2 + 17x - 2 12x2 + 17x

52 What is the area of the figure shown

below?

49 In the figure below, what is the measure

of DEC?

70° 80° 30° 5 cm 7 cm 3 cm 2 cm

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A B C D

180° 80° 70° 30°

A 210 cm2 B 35 cm2

C 32 cm2 D 20 cm2

53 Which figure represents the net of a

cylinder? A C

50 What is the slope of the line with this

equation? -8x + 4y = 12 A -2 B 1 _ 2 C 2 D 3

B

D

Go on 54 Mastering the MCT2, Pre-Algebra (Grade 8)

Name

Date

Practice Test

54 Quadrilateral ABCD is a square.

(continued)

56 The function table below was created

using an equation of the form y = ax2. Which is the graph of the equation?

x y -2 -8 -1 -2

y

Which a angle is an alternate interior angle with 4?

6 1 2

0 0

1 -2

2 -8

A

3

5

4

x

A B C D

6 3 2 1

B

y

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

55 Board 1 is cut into two pieces to make

boards 2 and 3. How long is board 3?

7

2

+6

-2

x

C

5

2

y

-2

?

x

A + 4w - 2 2 - 4w - 2 B 2w C 2w2 + 8w - 2 D 2w2 - 8w - 2

12w2

D

y x

Go on

Mastering the MCT2, Pre-Algebra (Grade 8)

55

Name

Date

Practice Test

(continued)

57 The Great Pyramid is a square pyramid,

with a height about 230 meters and a base edge of about 147 meters. If a scale model of the pyramid has a height of 11.5 centimeters, how long is the base of the model? A 15 cm B 14.7 cm C 7.35 cm D 6 cm

59 What is the product of the two

binomials? (4x - 1)(4x + 1) A B C D 16x2 - 1 16x2 + 1 16x2 + 8x - 1 16x2 - 8x - 1

58 If you double Tyrone's age s in the year

2008 and add 2, the result is 160. Which shows his age and the equation to find his age? A B C D 2(s + 2) = 160; 78 2s + 2 = 160; 79 2s + 2 = 160; 81 2(s - 2) = 160; 82

5 60 If of a pizza remains and 4 people

8 want to share it equally, what part of the whole pizza will each person get? A 1 _ 8 5 B _ 32 1 C _ 4 5 D _ 2

_

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

56 Mastering the MCT2, Pre-Algebra (Grade 8)

Countdown to MCT2

10 Weeks to the Test

Monday 1

Which of the following lists the numbers graphed below from least to greatest?

-1

0

A -0.01, - 0.01 , -0.5, -0.9 B -0.9, -0.5, - 0. 01 , -0.01

C -0.9, -0.5, - 0.01 , -0.01 D -0.9, -0.5, -0.01, - 0.01

Tuesday 2

Mississippi's worldwide merchandise exports reached a record high in 2005 totaling $4,007,570,892. Suppose this number is rounded to the nearest billion. What is this number written in scientific notation? A B C D 4 × 106 4 × 109 40 × 108 5 × 109

Wednesday 3

What is the third calculation in simplifying 8 + 16 ÷ 2 × 42? A B C D 16 ÷ 2 42 8 + 128 8 16

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Thursday 4

You are putting up three lengths of 2 fence measuring 25 feet, 30 feet, and 3 - 35. 3 feet. What is the total length of your fence?

Friday 5

Which of the following is NOT correct? A B C D an _ = an+m am (ab)n = anbn (an)m = anm a an _ n= _ n

_

A B C D

92 ft 91 ft 90.9 ft 90.5 ft

(b)

b

Mastering the MCT2, Pre-Algebra (Grade 8)

57

Countdown to MCT2

9 Weeks to the Test

Monday 1

Pressure treated wood is soaked in a liquid substance and then dried to help prevent the wood from deteriorating. Once the wood is ready for building purposes, approximately 0.25 pounds of liquid remains in the wood per cubic foot of board. How many pounds of liquid remain in the board shown in the figure to the right? A B C D 4 lb 2 lb 0.5 lb 0.25 lb

1 ft 4

16 feet

1 ft 2

Tuesday 2

Suppose a certain strain of bacteria can double in population every half hour. If initially there were 20 bacteria, how many bacteria are there after 1 6 hours? 2 1 C 20 · 6_ A 20 · 213 2 1 6_ 1 D 20 + 6_ B 20 · 2 2 2

Wednesday 3

The distance from the Earth to the Sun is approximately 93 million miles. What is this distance written in scientific notation? A B C D 9.3 × 105 miles 9.3 × 106 miles 93 × 106 miles 9.3 × 107 miles

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

_

Thursday 4

What is the simplified value of the expression? -18(2) _

2

Friday 5

Which set of numbers is all rational numbers? A 5 , 11 , 20 , 50 B -45, - 25 , -, 0 - 77 C - 121 , 2.8, _ , 14 13 -- D 1, 5.07, 40 , 99.9

4(-3)2

A B C D

-2 -0.5 3 36

58 Mastering the MCT2, Pre-Algebra (Grade 8)

Countdown to MCT2

8 Weeks to the Test

Monday 1

Which model represents A C 32?

B

D

Tuesday 2

What is the greatest common factor of 30u2vw3 and 35uw2? A B C D 210u2vw3 1050u3v2w5 v 5uw2

Wednesday 3

Which of the following equations shows the distributive property being used correctly? A B C D -a(b - c + d) = -ab + ac - ad (-2x + 7)(-2) = -2x - 14 7(3y2 + 2y) = 21y2 + 2y -(-x - y) = -x + y

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Thursday 4

On a map, the towns of Winona, Kosciusko, and Louisville form what appears to be a right triangle with the distance from Winona to Louisville being the hypotenuse of the triangle. The distances from Winona to Kosciusko and Kosciusko to Louisville are both approximately 30 miles. To the nearest tenth of a mile, how far is from Winona to Louisville? A 7.7 m B 42.4 mi C 45.0 mi D 60.0 mi

Friday 5

What is the slope of the line graphed in the figure below?

y

x

A B C D

1 -1 0 Undefined

Mastering the MCT2, Pre-Algebra (Grade 8)

59

Countdown to MCT2

7 Weeks to the Test

Monday

0 0 0 1 160 ft 10 50 300 ft 10 30 ft B

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A B C D

240 ft 340 ft 367 ft 394 ft

30 ft

Tuesday 2

A model of the Washington Monument uses a scale of 1:111. If the scale model is 5 feet tall, approximately how tall is the monument? A B C D 112 ft 116 ft 555 ft 5555 ft A B C D

Wednesday 3

Paula's mom completed the following growth table. Based on the information in the table, what is Paula's average growth rate from year 3 to year 5?

Paula's Growth Chart Year Height (in.) 2 3 4 5 6 35 37 39 42 46

5 in./yr 2.5 in./yr 2.2 in./yr 2 in./yr

Thursday 4

When two lines intersect in a plane, how many pairs of vertical angles are formed? A B C D 2 3 4 5

Friday 5

What is the least common multiple of 12a2bc and 10abc? A B C D 2abc 120a3b2c2 60abc 60a2bc

60 Mastering the MCT2, Pre-Algebra (Grade 8)

5

1

1

The diagram at the right shows the dimensions of a typical NCAA football field. To the nearest whole number, what is the distance from point A to point B?

A

Countdown to MCT2

6 Weeks to the Test

Monday 1

In the figure at the right, lines a, b, and c are parallel. Which list contains all the angles congruent to 7? A B C D 3, 11 2, 3, 6, 10, 11 1, 3, 5, 9, 11 5, 6, 8

d

1 2 3 4 5 6 7 8 9 10 11 12

a b c

2

1 You enlarged a 4 inch tall by _ 2

Tuesday

Wednesday

foot wide

3

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

photo to make a poster for school. If the poster is 6 feet tall and is similar to the photo, what is the width of the poster? A B C D 4 ft 8 ft 9 ft 12 ft

If two parallel lines are cut by a transversal forming two pairs of vertical angles with angle measures of 40°, what is the angle measure of the other two pairs of vertical angles formed? A B C D 140° 100° 60° 50°

Thursday 4

To the nearest whole number, what is the area of the shaded region in the figure below?

8 in. 8 in.

Friday 5

Suppose the Magnolia Motor Speedway located in Columbus was circular rather than oval. If the radius of the speedway is 315 feet, to the nearest whole number, what is the circumference of the speedway? A B C D 630 ft 1978 ft 99,225 ft 311,567 ft

A B C D

110 201 in2 402 in2 512 in2

in2

Mastering the MCT2, Pre-Algebra (Grade 8)

61

Countdown to MCT2

5 Weeks to the Test

Monday 1

If you think about the moon as being a sphere with a diameter as shown, what is the approximate volume of the moon? A B C D 1738 km 3.8 × 107 km3 2.2 × 1010 km3 6.6 × 1010 km3

3476 km

Tuesday 2

The measures of five of the six interior angles of a convex hexagon are listed below. 100°, 140°, 110°, 120°, 160° What is the measure of the sixth angle? A 120° B 110° C 100° D 90°

Wednesday 3

The Louisiana Superdome, located in New Orleans, was completed in 1975. The Superdome appears circular when viewed from above. If the circumference of the Superdome is approximately 4270.4 feet, what is its radius? A 680 ft B 1067.6 ft C 1360 ft D 2135.2 ft

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Thursday 4

What three dimensional figure does the net shown below represent?

Friday 5

Suppose you rolled a number cube 80 times with the number 5 appearing 30 times. If you roll the cube 280 more times, how many more times would you expect to roll a 5? A B C D 80 105 120 150

A B C D

Triangular prism Triangular pyramid Rectangular prism Rectangular pyramid

62 Mastering the MCT2, Pre-Algebra (Grade 8)

Countdown to MCT2

4 Weeks to the Test

Monday 1

Motorcycles Sold

The graph below shows the number of motorcycles Anita sold on seven consecutive days. Which answer choice best describes Anita's sales pattern? A B C D The data points show a positive trend. The data points show a negative trend. The data points are not correlated. The data points reflect no change.

8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8

Days

Tuesday 2

José plants 70 daisy seeds and 10 of them sprout. If he plants 21 more seeds, how many of these seeds would he expect to sprout? A B C D 13 7 3 2

Wednesday 3

A car dealer is showcasing the four cars in the table shown below. In effort to promote his dealership he tells the local media that mean price of these cars is $36,460. Which of the automobiles affects this mean the most? A B C D Car 1 Car 2 Car 3 Car 4

Car Car 1 Car 2 Car 3 Car 4 Price $65,455 $24,540 $28,695 $24,150

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Thursday 4

What is the solution to the equation -4(3x - 2) + 2 = 46? A -3 B 23 -_ 6 13 C -_ 3 28 D -_ 3

Friday 5

If you want to show what the middle value of a data set is, which measure should you choose? A B C D Mean Median Mode Range

Mastering the MCT2, Pre-Algebra (Grade 8)

63

Countdown to MCT2

3 Weeks to the Test

Monday 1

The graph to the right shows the history of real estate prices in the state of Mississippi over a 25 year period. What affect would a dramatic drop in real estate prices in 2010 have on the mean? A B C D It would have no affect on the mean. It would raise the mean. It would lower the mean. The mean would rise and then fall.

150 140 130 120 110 100 90 80 70 60 50 0 1980 1985 1990 1995 2000 2005

Mississippi Real Estate Prices ($1,000)

Year

Tuesday 2

Which answer choice is the solution to the inequality -x + 3(-x + 1) 11?

Wednesday 3

In a diving competition Lin Yao earned the following scores: 6.6, 6.6, 6.6, 7.4, 7.4, and 9.9. Which measure of central tendency best describes her scores?

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

A x -2 B x -2 5 C x -_ 2 5 D x -_ 2

A B C D

Mean Range Mode Median

Thursday 4

Which answer choice is the simplified form of the given expression? 2(x - 7) - 3(2x + 1) A B C D -4x - 17 -4x - 11 -4x - 6 4x - 17

Friday 5

Which inequality is graphed below?

-5 -4 -3 -2 -1 0

1

2

3

4

5

A B C D

-3 < x 1 x -3 -3 x < 1 x<1

64 Mastering the MCT2, Pre-Algebra (Grade 8)

Countdown to MCT2

2 Weeks to the Test

Monday 1

Which is the graph of y = A

2 1 y

-x2? C

3 2 1 -2 y

1 2 3x -2

1 2x

B

-3-2

2 1

y

D

1x -2

1

y 1 2x

-2

-2 -3

Tuesday 2

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

What is the value of

_ when

a2 - ab 2b

Wednesday 3

Which inequality is graphed in the figure below?

-5 -4 -3 -2 -1 0 1 2 3 4 5

a = -4 and b = -1? A B C D -10 -6 6 10

A B C D

x -3 x < -3 x -3 x > -3

Thursday 4

What is the slope of the line with equation 4x - 8y = -16? A -2 1 B -_ 2 1 C _ 2 D 2

Friday 5

What is the simplified form of the expression below? (4a2 - 2a) - (a2 - 1) + a A B C D 3a2 - a + 1 3a2 - a - 1 5a2 - 3a + 1 5a2 - a - 1

Mastering the MCT2, Pre-Algebra (Grade 8)

65

Countdown to MCT2

1 Week to the Test

Monday 1

Which answer choice represents the graph of y = 2x - 1? A

-2 -2 y 2 1 y

C

1 2x -2-1

2 1

y

1 2x

-2 y

B

-2

2 1

D

1 2x -2-1

2 1

1 2x

-2

-2

Tuesday 2

Which of the following best describes the data points in the graph below?

4 3 2 1 -4-3-2 -2 -3 -4 y

Wednesday 3

What is the simplified form of the expression (w - 1)(w + 1)? A B C D w2 - 2w - 1 w2 + 2w - 1 w2 + 1 w2 - 1

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1 2 3 4x

A B C D

The data points show a positive trend. The data points show a negative trend. The data points are not correlated. The data points reflect no change.

Thursday 4

Which of the following best describes the graph of y = x2? A B C D It rises from left to right. It falls then rises from left to right. It rises then falls from left to right. It is vertical.

Friday 5

What is the slope of the line with equation y = - 4 x + 7?

3

_

A -4 B -3

4 C -_ 3 D 7

66 Mastering the MCT2, Pre-Algebra (Grade 8)

ISBN: 978-0-07-878496-5 MHID: 0-07-878496-4

glencoe.com

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