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Holt McDougal Math

Holt McDougal Math South Carolina PASS Preparation and Practice Teacher's Guide for Middle School

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ISBN-13: 978-0-03-093002-7 ISBN-10: 0-03-093002-2 1 2 3 4 179 11 10 09 08

To the Teacher

Included in this booklet are answer keys for the following books: · Holt McDougal Math South Carolina PASS Preparation and Practice, Grade 6 · Holt McDougal Math South Carolina PASS Preparation and Practice, Grade 7 · Holt McDougal Math South Carolina PASS Preparation and Practice, Grade 8

Grade 6 answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Grade 7 answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

1 6

Grade 8 answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

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iii

PASS Preparation and Practice Answer Key

Grade 6 Answers Percentages pp. 1­2

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 68% $110.20 25% 52% 1 hour 60% 20% $180 14 $18.15 Jose 477 pieces 20 13. _____ × 100% = 2% of the 1000 pieces are defective

7. 33% < 25 8. 0.6 < 70% 15 9. 80% > ___ 20 10. David, June, Ali 11. Mary, Samuel, Jorge 12. 30 × 0.7 = 21 35 × 0.65 = 22.75 Sandra is getting the better bargain.

1 11. __ 5 12. multiply by the inverse 13. 10 14. 3 7 15. __ 8

Ratios and Rates pp. 11­12

1. 2. 3. 4. 5. 6. 7. 320 yards 10 inches 22.5 inches 100 feet 4:5 10 : 6 1 : 4 and 3 : 12

Add and Subtract Fractions pp. 7­8

1 1. 1 __ 2 5 2. 4 __ 9 3. 24 4. 24 5. 30 13 6. ___ 15 ___ 7. 17 40 8. 24 3 9. - ___ 32 1 10. - ___ 42 11. 30 5 12. ___ 10 3 5 4 13. __ + __ + ___ 8 9 11 297 352 360 = ____ + ____ + ____ 792 792 792 1009 = _____ 792

8. 36 muffins 9. 10. 11. 12. 13. 14. $11.25 $8 $26.40 $120 ÷ 8 division All rates have a denominator of 1. 15 15. ___ × 9 = $11.25 12

Integers pp. 3­4

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Integer -5, -4, 0 Positive or negative -4.5, -5.5, -6.5 Integers Integers 4 points 1 -30 meters 260 meters 1 11. 1, __ , 0 2 12. -3, -2, 0 13.

Powers of Ten pp. 13­14

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 10 4 10 4 10 2 1,000,000 1 1,100 900 10 6 and 10 4 $1,400 10 × 10 × 10 × 10 × 10 × 10 100 × 100 × 10 10 2, 10 3, 10 4 4000 10 4 10 6 ÷ 10 = 10 6 - 1 = 10 5

Natural numbers

Whole numbers Intergers

Multiply and Divide Rational Numbers pp. 9­10

1. 2. 1 15 __ 5 22 chairs 4 __ 7 5 months 11 1___ square meters 12 4 pieces 4 2 __ pints 5 115.29 80% 1 ___ 12

Comparing Rational Numbers pp. 5­6

1. Howard 2. 2,704, 2,716, 2,758, 2,795 3. 13.55, 13.5, 13.055, 13.05 3 7 4 5 4. 2 __ , 2 __ , 2 ___ , 2 __ 7 8 10 4 5. Matt 6. 5 > 50%

3. 4. 5. 6. 7. 8. 9. 10.

Prime Factorization pp. 15­16

1. 2. 3. 4. 5. 22 × 32 24 × 32 2 4 7

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PASS Preparation and Practice Answer Key

6. 7. 8. 9. 10. 11. 12. 13. 14. 15.

52 × 7 2 2, 3, 5, 7 5 2 2 × 32 × 52 23 × 71 2 and 5 70 54 = 2 × 27 =2×3×9 =2×3×3×3 = 2 × 33

2. 3. 4. 5.

6. 7. 8. 9. 10. 11. 12. 13.

Exponents pp. 17­18

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 24 4×4×4×4×4 28 24 26 2 3, 3 2, 4 2 51 16 0 52 Their numbers are equal. The base is odd. 2 5, 2 × 4 2 Yes. Possible answer: For example, 9 can be represented as 3 2, which has an even number as its exponent.

14. 15.

20 ÷ (5 × 2) + 3 = 5 22 10 Simplify inside grouping symbols, simplify exponents, multiply and divide, add and subtract (12 + 10) ÷ 11 = 2 2 × (6 2 - 8) = 56 216 13 (5 + 3) × 12 - 4 (7 - 3) × (6 ÷ 2) Multiply and divide fom left to right Simplify inside grouping symbols before simplifying exponents 4 14 - 7 × 4 + 9 = 14 - 28 + 9 = -14 + 9 = -5 Multiply 7 by 4. Then subtract the product of 7 and 4 from 14. Then add 9.

(5 + 2) + 3 Identity Commutative (a × b) × c = a × (b × c) a × (b + c) = (a × b) + (a × c) 12. d + (e + f) = (d + e) + f 13. 4r - 6(9r + 2) 14. x(3 + 4) = 3x + 4x = 7x (Distributive Property) 7. 8. 9. 10. 11.

Inverse Operations pp. 27­28

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 5+w=8 2 p + 12 = -19 24 14 x = 18 x = 15 12 inches x = 23 x + 15 = 21 x 2 ÷ 2 = 32 x-6=2 Divide by 4 on both sides. 30 cents 5c = 120

Algebraic Relationships pp. 23­24

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. y = 2x + 1 15r + 12(h - 1) 3n + 2 3 · 4.50 + 9 · 0.75 20m ÷ 100 200 + 11t s · (10 - 2) s · (10 - 8) x + 8 < 10 2 + (6n ÷ 5) 2 · 3 + x = 10 2.45 = 0.25q + 0.05n 3.50 > 0.1d + 0.05n

Ordered Pairs pp. 29­30

Point Q (7, 9) (5, 7) (1, 1), (1, 3), (3, 1), (3, 3) (1, 1), (5, 1), (3, 5) (2, 2) M 3 8. 1, 2 __ 4 9. (1.5, 2.75), (1.5, 0.75), (2.25, 1.75) 10. Q (6, 8), S (2, 5), P (5, 2), R (8, 6) 1. 2. 3. 4. 5. 6. 7.

Patterns pp. 19­20

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. square, then circle 7, 3 16, 20 23 minutes The numbers are doubling. $20 23 2x 4 eggs, 2 c flour, 4 tsp oil

(

)

Equivalent Expressions pp. 25­26

(1 + 2) + 3 = 1 + (2 + 3) 2+3=3+2 2(1 + 3) = 2 · 1 + 2 · 3 Commutative Distributive and Commutative 6. (4 · 4) + (4 · 5) 1. 2. 3. 4. 5.

11. 4, 7, 10, 13 12. d = 2r + 1

Coordinate Geometry pp. 31­32

1. 2. 3. 4. A, D, G, I C, F, H, I D (-1, 1), (-1, 4), (-6, 4), (-6, 1) 5. A triangle

Order of Operations pp. 21­22

1. 5 × 12 + 3 × 2

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PASS Preparation and Practice Answer Key

6. 7. 8. 9. 10.

(3, -1) A trapezoid Debbie, Dante, and Sean (4, -3) x = 5, y = 4

8. 9. 10. 11.

Symmetry pp. 33­34

1. Square 2.

3. Equilateral 4.

5. Line and rotational symmetry 6. Trapezoid 7. square 8. 9. 6 10.

Squares B and D 3 lines Square Line and rotational symmetry 12. Equilateral Triangle 13. Yes, all regular polygons have both rotational and line symmetry. Possible explanation: if a regular polygon has n sides, then it has rotational symmetry 360 by a rotation of ____ °. n If n is even, there is a line of symmetry through each pair of opposite vertices and through the midpoints of each pair of opposite sides. If n is odd, there is a line of symmetry through each vertex and the midpoint of the opposite side.

7. Reflection 8. Reflection on y-axis, reflection on x-axis, and dilation 9. Reflection over x-axis 10. Rotation 90° around the center of the square 11. (8, -4) 12. (-3, -1), (0, 1), (-4, -1) 13. 9 units to the right and 12 units down

( )

Identify Transformations pp. 37­38

1. Translation and reflection over the y-axis 2. Reflection over the y-axis 3. Triangle 3 4. Rectangle 1 5. Rotation and reflection over the y-axis 6. Reflection over the x-axis and 180° rotation about the origin 7. 2 8. Reflection over the x-axis and translation 9. (-2, 4)

11. Line B 12. For line and rotational symmetry, the triangle must be equilateral, A triangle cannot have only rotational symmetry. For line symmetry only, the triangle must be isosceles, but not equilateral. For no symmetry, the triangle must be scalene.

-- -- 1. AB and DF 2. 4.2 cm 3. 9 cm BC GH CD DE 4. ___ = ___ = ___ = ___ BE HJ JF FG 5. 7.5 cm 6. 2.1 to 3.5 7. 68°, 24°, 88° 8. 7.5 cm 9. Lengths of corresponding sides of similar triangles are equal. 10. All congruent triangles are similar. 11. 36 m 12. The angle measures will be equal. Possible explanation: If two shapes are similar, they have the same shape but may have different sizes. In order to have the same shape, the angle measures must be equal.

Comparing Polygons pp. 41­42

Line and Rotational Symmetry pp. 35­36

1. 2. 3. 4. 5. 6. 7. Points E and G Square Figures A and D Equilateral Square B 14

Similar Polygons pp. 43­44

A and B A, B, and C 9 cm Yes Square A and C X and Y The perimeter must be proportional. 9. A and C 10. A, B, and C 11. 5, 5, 7, 8, and 8 1. 2. 3. 4. 5. 6. 7. 8.

Transformations pp. 39­40

1. Reflection over the x-axis 2. Reflection over the x-axis and translation 2 right and 1 down 3. Dilation 4. It makes it a mirror image of the original. 5. It changes its size. 6. Dilation

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PASS Preparation and Practice Answer Key

12. A regular polygon is always similar to another regular polygon with the same number of sides. Irregular shapes are not always similar because the name of the shape does not determine the angle measures or side lengths.

-- KL 30 centimeters 1 inch is the ratio of the circumference of a circle to twice the radius. 11. Diameter 12. c = 2r = d 7. 8. 9. 10.

4. 5. 6. 7. 8. 9.

6 square units 16 units 60 feet 162 square feet 12 A 30 cm 2 p 31 cm

Complementary and Supplementary Angles pp. 45­46

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. Complementary angles 146° 16° Angles x and y The original angle is a right angle. Two complementary angles are acute. 30° and 60° 45° and 135° Two right angles are always complementary. 5 and 6 To construct a supplementary angle for each of the angles, a student could extend one of the rays to form a linear pair. Another way would be to subtract the angle measure from 180 to find the measure of the supplementary angle, and then drawing an angle with that measure.

Circumference and Area pp. 49­50

1. 2. 3. 4. 5. 6. 7. C = d 21.50 cm 2 314 ft 2 50 cm 353.25 cm 2 0.8 m is used to caculate the area of a circle, but not the circumference. 100 feet 379.94 706.5 square feet 94.25 feet 693.94 feet 19 × 3.14 × 2 = 119.32 inches of fabric

Perimeter and Area of Irregular Figures pp. 55­56

1. 2. 3. 4. 5. 6. 7. 104 ft 2 132 cm 2 26 89 in 2 7704 ft 2 424 ft

8. 9. 10. 11. 12. 13.

Surface Area of Rectangular Prisms and Cylinders pp. 51­52

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 294 cm 2 4 boxes 504 cm 2 62 ft 2 5 cm 4 times 10,360 in. 2 75.36 in. 2 3 pillows 143.2 in 2 A = 2r 2 + 2rh 150 = 2(2) 2 + 2(2)h h = 10 cm

8. Find the circumference of each end using 60 yards as the diameter. 9. Possible answer: He could divide the octagon into 8 isosceles triangles by drawing all of the diagonals of the octagon, measure the base and height of one triangle to find the area, and mutiply the result by 8.

Proportions pp. 57­58

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. $0.25 450 minutes $3.20 $2.60 No, they would have expected 390 beef dinners. 1,092 miles 11 inches $0.22 $0.31 $75 ÷ 6 Dividing the total amount by the number of units. 50 ÷ (3.5 × 4) $3.57

Circle Relationships pp. 47­48

1. The diameter of a circle is twice the radius. 2. To find the circumference of a circle, you need to caculate the area of the circle and divide by 2. 3. 180° -- 4. The length of BC is half the -- length of DE 5. 6 in. -- 6. CD

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Estimating Perimeter and Area of Irregular Shapes pp. 53­54

1 1. 4s + __ r 2 2 2. 300 square inches 3. 72 inches

Scale pp. 59­60

1. 320 yd 2. 10 in. 3. 4.5 mi

4

PASS Preparation and Practice Answer Key

4. 5. 6. 7. 8. 9. 10. 11. 12. 13.

22.5 in. 100 ft 1 centimeter = 1.5 inches 21 inches × 42 inches 3 inches = 2 feet 63.0 feet 18.0 miles San Diego 7 inches × 12 inches 3×6×2+4×6×2 = 84 ft

9.

Levi running time

Stem Leaf 1 56888 2 11234 Key: 1|5 means 15 minutes

Probability of Complementary Events pp. 69­70

1. Flipping either heads or tails. 2. 67% 3. 0.28 4. 1 5. 14 1 6. ___ 36 7. The probability of drawing either a nickle, dime, or quarter 8. 54% 1 9. ___ 16 1 10. __ 2 11. 21 12. Possible answer: For a given event, the complementary event is made up of all the outcomes that are not in that event. For a coin toss, the event of landing on heads has the complementary event of landing on tails.

Measures of Central Tendency pp. 65­66

1. They are all good measures of central tendency. 2. More than half the employees make $50,000 or less. 3. It only counts frequency and not range. 4. It is too close to the smallest annual wage. 5. Median and mean 6. Mode 7. Mode 8. Mean 9. Possible answer: Mean and median are good measures for both teams, because for both teams, the mean and median are equal.

Using Sample Data pp. 61­62

1. 25% 2. 6,122 3. The sample was taken from an online poll on a Spanish website. 4. The average time students in Mr. Douglas's class spend commuting to class is 15 minutes. 5. 184 6. There are 40 more students than expected. 7. 166,400 8. A football coach finds the average age of his players. 45 9. Ali: ____ × 40,000 = 12,080 149 49 Lawler: ____ × 40,000 149 = 13,154 55 Zhang: ____ × 40,000 149 = 14,765

Theoretical Probability pp. 67­68

1. 16.7% 2. 25% 3. Getting one head and one tail 4. Six heads and six tails 1 5. ___ 16 1 6. __ 2 7. {heads, tails} 8. {1, 2, 3, 4, 5, 6} 9. {suit, number, picture card} 10. {heads, tails} 11. 36 12. {RR, RG, GR, GG} 13. Drawing a green marble from a bag containing three red marbles 14.

R R G R G G

Practice Test A pp. 71­80

5 2. 42,076.32 3. 3, 4, -4 1 4. __ 30% 3 5. 0.75 5 6. ___ 12 7 7. 23 ___ 12 5 8. ___ 12 20 9. ___ 64 10. 28.8 m 11. 10 4 12. 625 13. 8 14. The numbers are doubling. 15. 20, 16, 12, 8 16. 42 1. 3 __

Frequency Tables, Histograms, and Stem-andLeaf Plots pp. 63­64

1. 9 2. The ages at election of the first 30 United States presidents. 3. Stem-and-Leaf Plot 4. 0­2, 3­4, 5­6 5. 2 3 3 3 4 8 9 6. 5 6 6 7. 5 8. 8

R G R GR G R G

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PASS Preparation and Practice Answer Key

17. She added 5 to the product of 2 and 3 before multiplying. 18. 5x - 3 19. 18 - h 20. a(b + c) = a ·b + a · c 21. a + (b + c) = (a + b) + c 22. Ted has 80 kilograms of granola bars with which to make 1.5- kilogram boxes. How many boxes of granola bars can Ted put together? 23. a + b = b + a 24. Divide both sides by 4. 25. 30 cents 26. 339 27. K 28. S 29. (2, 3) 30. (6, 2) 31. 76 cm 2 32. 81.875 33. Line and rotational symmetry 34. circle 35. Reflected over the y-axis and translated 36. It makes it either bigger or smaller. 37. 2 feet by 5 feet 38. Triangles A and C are similar 39. Angles A and B are neither complementary nor supplementary. 40. Angles with measures that add to 180° 2 41. 108.38 m 42. d = c ÷ 43. 5 44. 53 minutes 45. 11 -- 46. AB 47. 3.14 centimeters 48. A = r 2 49. 14 square units 50. 12 + units 51. $3.45 52. Chocolate covered peanuts 53. 1 cm : 133 m 54. 15 cm 55. Sarah 56. {R, G, B}

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57. 50% 58. Will it snow on January 4, 2082? 1 59. __ 2 60. 16 1 1 61. 57 __ × __ 4 3 1 = 57.25 × __ 3 2 19.1 m 62. Right angle triangle

33. 34. 35. 36. 37. 38. 39. 40. 41. 42.

Practice Test B pp. 81­90

1. 52 3 2. 7 __ 8 3. 43. 44. 45. 46. 47. 48.

6r - 17 2.4 cm 9 23 20 ÷ (5 × 2) + 3 = 5 Distributive 1 __ 6 (1, 1), (5, 1), (1, 5) 90° rotation about point G Translate G 1 unit left, then reflect G across the line y = 5. $0.25 87 4 Divide both sides by 4. 25 weeks a+b=b+a

4. 5.33 5. This set of data has no mode. 6. 2.5 miles 7. 142 8. 4 - (7 × 3) ÷ 6 9. 90% 10. 1050 11. 314 ft 2 12. C = 1.67w 13. 2.4 cm, 9 cm, 7.6 cm, 15.8 cm 14. 3 15. 138.2 in 2 16. 100% 17. 17 15 2 18. __ and ___ 5 18 2 19. 177 cm 7 7 20. __ < __ 2 3 21. (1, 3) 22. $75.00 23. 7 24. $0.40 25. 1 and 3 26. 39° 27. 188.4 cm 2 28. 107 __ 3 29. Yes 30. 15 square units 31. 228 cm 2 32. 44 minutes

3 1 49. 2 inches, 5 __ inches, 9 __ 8 4 inches 50. Equilateral triangle 51. One student in each class raised exactly $30 52. y = 8 53. 2 in class 1 and 1 in class 2 54. $267 55. 833 feet 56. -1, 2, 5 -- 57. The length of BC is half the -- length of AB 58. 10 cm 59. r 2 60. 12 heads and 13 tails 61. 16 cm 62. parallelogram 5 1 4 63. 52 ___ + 48 ___ + 58 __ 5 15 12 14 7 + 52 ___ = 211 ___ pounds 20 60 collected 5 1 47 58 __ - 48 ___ = 9 ___ 5 12 60 47 Room 204 collected 9 ___ 60 pounds fewer than room 205.

Grade 7 Answers Percents pp. 1­2

1. $385.70 2. $343 3. 87%

6

PASS Preparation and Practice Answer Key

4. 5. 6. 7. 8. 9. 10. 11. 12.

143% 153 pieces $31.86 27 students 2 hours 111% 280% 409.5 square feet 40,000 × 1.25 = 50,000 50,000 × 1.25 = 62,500 0 - 6 + 4 = -2 C E B F A ± 16 ± 9 5 1 __ 3 1 __ 2 -2 2 22 ___ = 4__ 5 5 2 Place the point __ to the 5 right of 4 on the number line.

Absolute Values pp. 7­8

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 5 4 7 and 7 37 GoCar Company 30 - 19 yards -7 -3 and 3 7,000 - 84 feet -204 - -80 meters 0 m - j = 4

Scientific Notation pp. 13­14

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 9.46053 × 10 15 5.582 × 10 15 8 2.45 × 10 3.59 × 10 7 6 × 10 9 1.609434 × 10 9 1.708 × 10 6 1.03 × 10 4 2.825 × 10 4 feet tall 2.45 × 10 -4 3.2 × 10 -3, 3.6 × 10 2, 450, 325,000

Number Lines pp. 3­4

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

Ratios and Rates pp. 9­10

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. $164.20 $22.43 $18.56 27 feet 0.07 × 38 20 12 ___ = ___ 30 18 19.8 centimeters 12.4 $681.25 Casey $304.16 250 × 0.025 = 6.25 She earns $6.25 in 1 year. 6.25 + 6.25 = 12.50 She earns $12.50 in 2 years. 3 -2 25 35 3 2 × 10 6.035 × 10 9

Integers pp. 15­16

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 4,659 1,426 -1896 -29.5 $4,404 33 feet -11 yards -20°F 11 7 $39 9 hours 2 - (-2) + 7 - 8 =2+2+7-8 =4+7-8 = 11 - 8 =3

Inequalities pp. 5­6

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. a > 42 A>B w 4,000 n6 1 4 × __ 1 + 2 2 Zaire River > Irtysh River 0.6 < 70% 4 2 __ > __ 5 3 12 > 144 25% > 0.22 f $1.20 -3.4; the absolute value of -3.4 is less than the absolute value of -3.8, so it is closer to 0, the exact pitch

Exponents pp. 11­12

1. 2. 3. 4. 5.

Fractions and Decimals pp. 17­18

1. 24.65 2. 19.100 54 3. 18 ____ blocks 125 6 4. ___ 56 8 5. __ 6 6. 2.4908 7. 8. 9. 10. Furniture For Less 170 12.8036407 2 (12.99) + 2(1.38) + 9.99 + 3(1.38) = $42.87

6. 10 4 ÷ 10 1 = 10 4 - 1= 10 3 7. 4 3 × 2 3 = 80,000 8. 4.023 × 10 3 9. 10. 11. 12. 12 7 4.5 × 10 3.84 × 10 5 Voyager 1; Voyager 2 traveled 9,065,000,000 which is less than what Voyager 1 traveled

2

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PASS Preparation and Practice Answer Key

Squares and Square Roots pp. 19­20

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 16 121 12 21 inches 75 > - 75 20 inches 28 2 15 = 225 11 15 2 - 3 2 -17 196 16, 25, 36

6. -5 7. 50; the distance is increasing by 50 m/min.

Slopes pp. 25­26

1.

Water Level Time

6. 7z - 9 > 30 x 7. __ + 9 10 3 8. 4y - 4 < 4 x 9. __ + 32 - 2 3x + 2 - 2 2 1 _x 3x 2 ___ + 30 ___ 1 1 _x _x

2 2

2. They are the same. 3.

x 4 6 8 y 12 24 48

0

30 6x x5

5 10 15

Patterns pp. 21­22

1. 2. 3. 4. 5. 6. 15 The numbers are tripling. hexagon Add 1 to the square of n. triangle The number of sides of a polygon decrease by 2. 7. square 8. 1024 9. Possible answer: The first pattern could be a triangle, a pentagon and a heptagon. The second pattern could be a triangle, a hexagon and a nonagon. The sides of the polygons in the first pattern increase by 2 and the sides of the polygons in the second pattern increase by 3.

y = 4x + 1 8 1.6 km The slope of a line is always the rate of change of the line. 8. If the value of x increases by 2, the value of y increases by 1. 4. 5. 6. 7.

Proportional Relationships pp. 31­32

3 1. y = __ x 2 2. $40,000 3. y is directly proportional to x. 4. Naomi deposits $55 every month. 5. z = -4x 6. y = 3x 2 7. y = - __ x 3 8. Multiply x by -4 9. 288 calories $33.75 3 10. ______ = __ x 4 11. y = -5x

Equations and Inequalities pp. 27­28

1. Subtract 5 from both sides. 1 2. y > ___ 11 3 3. __ x · 15 = 75 8 4. x 5 5. 5 6. $19.00 7. 3x - 4 = -22 8. x > -8 6 9. x > __ 5 10. 27 11. 9 12. First, add 5 to both sides, then multiply both sides by 6.

()

Types of Proportional Relationship pp. 33­34

1. 2. 3. 4. Inversely proportional Nonproportional Directly proportional The total price of n large pizzas with one topping each The base and the height Directly proportional Inversely proportional The y-value must be 0 when x = 0. 4 xy = 4

Rate of Change pp. 23­24

1. $1.50/lb 2. The cost per pound is constant 3. 12 4. 3 5. Water Temperature

100 80 60 40 20 0 1 2 3 4 5

Inequalities on Number Line pp. 29­30

1. 5x + 2 < 13 2.

12 10 8 6 4 2 0 2 4 6 8 10

5. 6. 7. 8. 9. 10.

y 3. __ - 2 -3 5 4. 2n - 5 > 1 5. 9x + 3 30

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PASS Preparation and Practice Answer Key

11. The total amount deposited into the account and the number of months are not directly proportional because at the start $1000 is placed in the account, so the y-value of the graph is 1000 when x = 0. The total amount deposited by Carlos from his job and the number of months are directly proportional because this total can be written as y = kx where k = 100, x is the number of months, and y is the total.

4. 5. 6. 7. 8.

Octagon Hexagon Rectangle Rectangle

9.

10. Possible answer: alternate interior: 4 and 6, 3 and 5. alternate exterior: 1 and 7, 2 and 8 corresponding: 1 and 5, 2 and 6, 4 and 8, 3 and 7. adjacent: 1 and 2, 2 and 3, 3 and 4, 4 and 1, 5 and 6, 6 and 7, 7 and 8, 8 and 5.

1

2 3

Triangles pp. 35­36

1. 2. 3. 4. F -- FJ JHF

10. Possible answer: a box (a rectangular prism) has a rectangular cross-section. The rectangular crosssection can be formed when you cut through the box.

5 8

4 6 7

5.7 70 6.5

7 50

Two- and ThreeDimensional Figures pp. 41­42

1. Circle 2. Cone 3.

Areas of Similar and Congruent Shapes pp. 45­46

1. Equal 2. Rectangle ABCD Rectangle EHGF 3. 2 : 1 4. Congruent shapes have equal area. 5. Corresponding sides are congruent. 6. The areas are equal. 7. If triangle ABC is similar to triangle DEF, they will have equal areas. 8. Comparing side length: 4:8=1:2 Comparing areas: 6 : 24 = 1 : 4 The ratio of the areas is double the ratio of the side lengths.

5. 6. 7. 8. 9.

46° 7.5 in -- GH RTU 1.35 cm

Intersections on a Plane pp. 37­38

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 0, 1 or 2 Circle Triangle 9 Trapezoid Circle 3 1 or 2 4 5; ABC, DEF, FEB, DEC

4. 5. 6. 7. 8. 9. 10. 11.

Cone Pyramid Hexagon 3 pyramid Rectangle Side and top

Angles pp. 43­44

ADF, 1. 2. 3. 4. 5. 6. 7. 8. 9. 128 52 52 128 52 52 113 Supplementary Adjacent

Proportional Relationship of Similar Shapes pp. 47­48

1. 2 : 1 2. 8 : 5 8 13.2 3. __ = ____ x 5 4. If ABC and DEF are congruent, AC must be congruent to DF. JK KL 5. ___ = ___ PQ QR

Cross-Sections of Solids pp. 39­40

1. Circle 2. Rectangle 3. Triangle

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9

PASS Preparation and Practice Answer Key

6. RQ, EF 7. 16 cm ,16 cm, 30 cm 8. 0.8 RP PQ 9. ___ = ___ XY ZX 10. 3.5 a b 11. __ = __ x y

10.

Angles in Tessellations pp. 53­54

1. 60° 2. 90° 3. Jennie will not be able to make a tessellation without adding irregular shapes. 4. 360° 5. 360° 6. 360° 7. 135° 8. 2 9. A regular octagon cannot tessellate unless the gaps are filled by squares. 10. The measures of the angles at a point must add to exactly 360°. 11. Possible answer: Squares can be used to create a tessellation, because when squares are used for tessellation, they can cover a plane without any gaps or overlaps.

5. 6. 7. 8. 9. 10.

Similar Shapes pp. 49­50

The triangles are similar. The angles are equal. 150° 2.25 cm FG 60° 9 : 16 30 cm YXZ AC 5.6 10. ____ = ___ 11.4 8.4 11. 7.6 cm 12. Possible answers: 780 cm, 1872 cm, 2028 cm 325 cm, 780 cm, 845 cm 300 cm, 720 cm, 780 cm These three possible sets of answers are calculated using 780 cm as the shortest length, second longest length and the longest length. 1. 2. 3. 4. 5. 6. 7. 8. 9.

2bh l3 264 240 bh + H(2s + b) SA 1 = 8 + 24 = 32 V 1 = 4 · 6 = 24 SA 2 = 2 + 24 = 26 V 2 = 12 Possible answer: The surface area of the first cylinder is about 1.2 times that of the second cylinder. The volume of the first cylinder is twice that of the second cylinder.

Trapezoids pp. 59­60

1. 54 ft 2 2. It can sometimes help you find the length of nonparallel sides. 3. 288 ft 2 4. 75 ft 5. 252 square feet 6. 72 feet 1 7. __ h(x + y) 2 8. 20.25 9. Perimeter: 12.65 Area: 4.5

Scale Factors and Rates pp. 55­56

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 4.25 inches 8 inches 12.5 centimeters 34.2 miles 8.7 milliliters 216 miles 3.75 mi Gas and Go $8/h $6.25/h Cranberry = 2.0 L Ginger ale = 2.5 L Peach = 1.5 L

Tessellations pp. 51­52

1. Reflection across horizontal line 2. Reflection and translation 3. Translation 3 units left, right, up and down 4. A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps. 5. This shape cannot make a tessellation. 6. Square 7. Square 8. Translation and rotation 9. No; possible answer: No matter how you transform a circle, there will always be gaps between circles.

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Equivalent Measurements pp. 61­62

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 8 yards 48 inches About 82 kilograms 2400 square centimeters 6-quart bottle 25 cups About 1.2 kilometers About 12.8 inches About 1.1 lb About 60 liters 8 __ 5 135 cubic feet 6 square meters 15 × 2.2 = 33 lb 33 lb vs. 32 lb A 15-kg dog is larger.

Surface Area and Volume of Three-Dimensional Shapes pp. 57­58

1. 2. 3. 4. 258 cm 2 270 cm 3 36 42

10

PASS Preparation and Practice Answer Key

Convert Between Measurement Systems pp. 63­64

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. About 2.8 quarts 22°C 90 centimeters 0.008 gram about 12.8 kilometers about 44.8 inches about 4.08 kilograms about 285 grams 5,000 square centimeters 2.43 kilometers 10 kg and 6.4 km $2.69 2.69 12. 3L: ________ = ______ 100 oz 3000 mL = $2.69/oz $3.99 12 pack: ______ = $2.77/oz 144 oz $3.25 6 pack: ______ = $3.25/oz 100 oz

various musical instruments The radius of the circle 150° 60° The most frequent value about 25% The upper quartile scores were higher for math than for science 9. A circle graph is appropriate when the data can be grouped into parts of a whole and you can find each ratio of the part to the whole. 10. 3. 4. 5. 6. 7. 8.

9. 55% 10. 16.7% 11. 12.5% 12. Chance:

16 8 HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT,THTH, THTT, TTHH, TTHT, TTTH, TTTT,

6 3 ___, or __

13. For a probability of picking red of 60%, more grapes will be red than green. Try 27 red, 23 green: P(red) 27 = ___ = 54% (too low). Try 50 27 red, 21 green: P(red) 27 = ___ = 56.25% (too low). 48 Try 27 red, 18 green: P(red) 27 = ___ = 60%. So, 18 green 45 grapes must be added.

0 68 70 72 74 76 78 80 82 84 86 88 90

Sample Data pp. 65­66

1. BBB cooperation, because their median salary is higher. 2. BBB 3. Service B is cheaper if you use more than 200 minutes each month. 4. Service A 5. Class 2, Class 2 6. No, students with brown eyes are more likely to be in Class 2. 7. Brown, Dark blue, Hazel 8. Andrews; Because in the south he has 9% more votes than Krasij and 23% more votes than Woo. These differences have a greater impact than the differences in their total number of votes in the north even when the north have twice as many voters as the south.

Interquartile Range pp. 69­70

1. 4 2. 3 3. The interquartile range of set B is found using two actual data values. 4. It lies above the third quartile. 5. 4 6. 50% 7. 25 8. 5 9. Spread 10. 3 11. 8 12. 9 13. 4 14. Its interquartile range becomes 3.5.

Interpreting Probability pp. 73­74

1. The probability of landing on at least one of the other two colors is greater than the probability of landing on red. 2. 12 3. The bag with 100 tiles 1 4. __ 9 5. 4 6. 30 7. 52 heads and 48 tails 8. 3 9. Denise rolls a dice two times 10. Oranges: 40 × (0.45 - 0.25) = 8 Pears: 40 × 0.25 = 10 11. 40 × (1 - 0.55) = 18 apples.

Probability pp. 71­72

1. 16.7% 2. 25% 3. Getting one heads and one tails 125 4. _____ 1728 8 5. ___ 15 6. 1 through 6 7. 1% 8. 30%

Box Plots and Circle Graphs pp. 67­68

1.

10 15 20 25 30

Experimental and Theoretical Probability pp. 75­76

1. Experimental is greater. 2. The fifth coin is equally likely to be heads or tails.

2. Number of students playing

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11

PASS Preparation and Practice Answer Key

1 3. __ 6 4. 50% 8 3 5. ___ ; __ 15 5 6. If Jane draws an equal number of red and black cards 13 7. ___ , yes 50 4 8. ___ 30 9. 25%, yes 10. 80%; no 1 13 1 11. __ ; ___ ; __ 2 16 4

Fundamental Counting Principle pp. 77­78

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 24 6 120 1×2×3×4 2×6 6 {1, 2, 3, 4, 5, 6} {HH, HT, TH, TT} YGY 60 12 120 ways; 6 ways; 24 ways

Practice Test A pp. 79­89

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 6 3 3 × 2 3 = 60,000 4 Cube -658 5.7 liters rectangle ABCD rectangle EHGF 6.7 10 -6 9 heads and 11 tails 20 3.96 pounds Proportional 44.4% x5 59%

16. 207% 17. 2 1 18. y = 3x - __ 5

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5 4 1 3 19. - __ , - __ , - __ , __ 6 9 3 8 20. 12 cards 21. 42 kilometers 22. 36 feet 23. 52 24. 15.19 feet 25. 2(lw + lh + wh) 26. $4.20 3 27. 15 __ miles 8 1 28. __ 4 29. About 1 liter 2 30. 52 cm 31. 2851 cm 2 32. $94.55 33. Step I, then Step IV 34. 3 35. 4 1 36. __ 6 37. 1, 4, 10, 22 38. Arkansas > Kansas 1 39. ___ 36 40. 34 41. d and h 42. d and h 43. 1.10 44. 50 45. 35 46. The interior angle must be an exact divisor of 360° 47. 75°F 48. 35°, 55°, 90° 49. 5 < -3 50. 140° 51. Hexagon 52. 36 square feet 2 53. 54 cm 54. Circle 55. $1.68 56. 362.5% 57. $34 4 58. ___ 13 59. 22 cm 60. 8 61. 21.5 mi/gal 62. 6, 9, 12.5, 13.5, 17 63. 72° 64. Nonproportional 65. 1730 66. y = 4x

67.

5 3

25

|-8|

0 1 2 3 4 5 6 7 8 9 10 11 12

68.

0

x4 1 2 3 4 5 6 7

x>7 8 9

Practice Test B pp. 90­98

100 2(-2 + 6) + 5 -3 x < 5 y = 0.40x; $.40 7 - (10 ÷ 5) + 3 500% Subtraction Cone 8.193 × 10 6 5.971 × 10 -1 --8 and -8 23°C > -16°C 4,548 It would be a triangle connected to a rectangle. 15. 15.6

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 16. 5 4 17. Triangles, squares, hexagons 18. 13.125 minutes 19. 13 20. y = 8x ­ 2 21. 108 22. $.75 23. 3x ­ 7 = 18 24. 87 ­ 0.15(87) 25. $37.50 26. 108° 27. 6 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 12.64 in. 6 quarts; 1.5 gallons 200 fluid-ounce bottle 0.0012 square kilometers 2 8 feet and 2 __ yards 3 1.35 m square 43.3 in 2 $166.42 $0.40 3 in., 4 in., 5 in. $10.50 $3.00 7

12

PASS Preparation and Practice Answer Key

42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. 65. 66.

30 144 cm 2 10 inches and 6 inches 9 centimeters 1 __ 9 105°, 75°, 108°, 72° 0 Nonproportional 60% 3 24 ft 129° 128°, 26°, 26° 72,000 126° 1 __ 3 20% 55%; greater than theoretical 100% 3 His score was in the top 25%. 27 2 __ 5 - 6400 59 - ___ 2

Montgomery

12. 51 + (3 × 82) - 191 = 106 13. He was not correct. Possible answer: He needed to multiply 6 × 2 inside the parentheses first before adding and subtracting. Then he would square the number. 14. 8 × (-4) × (-8) + 5 2 = 8 × (-4) × (-8) + 25 = 256 + 25 = 281

Compare Rational and Irrational Numbers pp. 7­8

1. 0 , 37 , 35.2, 6 2 5 4 1 3 2. - __ , - __ , - __ , __ 6 9 3 8 3. > 3.14 13 17 4. ___ , 1.49, ___ 12 8 2 __ 5. 5 6. 55 7. 7 3 8. > 9. > 10. 5 + 55 > 12 (or ) You know 7 2 = 49 8 2 = 64 Therefore 55 is between 7 and 8. It is closer to 7 since 55 is closer to 49 than 64. A good estimate would be 7.3 or 7.4.

Rational Numbers pp. 3­4

1. 15.76 2. -37.14 1 3. Find the inverse of ___ . 10 4. Sam used all of the above. 7 5. -12.6, - __ , 4.2 5 6. -6°F 7. Multiplying two irrational numbers together will give you an irrational number. 8. A negative number multiplied by a positive number will give you a positive number. 9. Divided 9.5 by 0.5 10. 3.2 11. The hourly change: -3.4 m m _______ = -0.49__ 7h h The water was falling.

Absolute Value pp. 9­10

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 0 to 2 37 10 GoCar Company -30 -19 yards -8 -80 + -204 meters (7000 - 84) feet -163.675 feet Day 2 to Day 3 -5 29,035 + -36,201

Scott

Grant

Orange

Irrational Numbers pp. 5­6

67. 2 and 3 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 1 and 2 21 Point E 63 7 and 8 D 49 and 50 62 5 < 27 <6 Point A11. The approximate length is 11 yards. 13. 24 24 · 3 72 The circumference is about 72 cm.

Grade 8 Answers Integers pp. 1­2

Square and Cube Roots pp. 11­12

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. Point A 50 8.5 3.1 12 9 cm 2 8 ___ 2 2 and 3 10 386 is in between 19 and 20.

3 1. 3 __ 5 5 2. 5 __ 6 3. + 4. 14 5. $350 6. 39 2 7. 51 + (3 × 8 ) - 191 = 52 8. 24 9. Simplify the exponent 10. 32,768 11. 9

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13

PASS Preparation and Practice Answer Key

12. 550 23.45. Therefore it would be located between 23 and 24

Algebraic Equations and Inequalities pp. 17­18

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. x + 3 = 14 x < 75 2p + 5 = 23 n>4 6.75h 25 25g 300 v + 40 100 9d + 8 = 35 n __ = 8 3 $102.50 21 = 3.5t 28 + 2b 40; b 6 j = 68 + 4

Ratios, Rates, and Proportions pp. 13­14

56.5 grams 8.7 milliliters 13.5 feet $2.66 Gas and Go 1170 ball caps g = 171 6.4 inches $3.59 31.0 ounces 1 centimeter = 4 meters 6.16 ounces 2 13. He has driven __ of the 5 way. The total trip is approximately 2 480 ÷ __ = 1200 miles. 5 15 14. ___ = 0.2083 72 About 21% of the job is complete. 21% × $120 = $25.20. She would get $25.20 if she stopped now. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

9. The 3 was not multiplied correctly. 1 10. -4 + __ x = -10 3 x x 11. __ + 1 = - __ + 1 3 2 1 12. 3 = __ k 8 k = 24 5 1 1 4 13. __ + __ = ___ + ___ 5 4 20 20 9 = ___ 20 9 27.00 ÷ ___ = 60 20 Ray made $60 this week.

()

Algebraic Expressions pp. 19­20

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 3 + 2x 4-2+m (2 · 3 · 5) (xy) -4 (2n + 3) + 9n 4+x 6 - 2x and 2(3 - x) Associative property of addition 4x + 4y 6x - 7 + 2x and 6x - 5 10x - 6 P×2+P×8 Commutative property of multiplication Associative property of addition 8x - 12 Yes, both expressions will give the same answer. Mia and Crista used the associative property of addition

Relations and Functions pp. 23­24

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. y = 2x 3 - 6 y = 25x B The graph is non-linear. (-2, -8), (-1, -4), (0, 0), (1, 4), (2, 8), Linear y3 A linear function with negative slope Nonlinear relation y = -x + 6 275 ____ = 55 5 3 · 55 = 165 miles 170 - 130 = 40 $210 for 80 widgets $250 for 100 widgets

Linear Functions pp. 15­16

1. s = 35 - 4d 2. y = 3 3. nonlinear 4.

4

Linear Equations pp. 25­26

1. (0, 3) 2. (0, -1) 3. (0, -2) 1 4. __ 2 __ 5. 7 2 6. -2, 8 7. 16, 40 8. The line passes through the origin. b 9. - __ m 10. The y-intercept is 50. The y-intercept represents the flat fee that Kyle charges.

-4

0

4

-4

5. -3x + 4y = 12 1 6. y = __ x 2 7. c = 5n + 2 8. c = 10 + 3n 9. p = 2n - 30 10. 22 - 17 = 5 7 + 5 = 12 ? = 12 11. 2(2) -5, -1

()

Multistep Equations pp. 21­22

1. 2. 3. 4. 5. 6. 7. 6 -11 -2 - 5x = 3 -18 19 Equations III and IV 40w + 5(2w) = 442.50 x 8. 12 - __ = 10 3

Copyright © 2010 by Holt McDougal. All rights reserved.

14

PASS Preparation and Practice Answer Key

The x-intercept is -2. The x-intercept has no real-world meaning.

Slope pp. 27­28

1 1. __ 3 2. the slope of the line 3. The slope is negative. 4. The slope is positive. 5. The slope is negative. 6. The y-intercept of line m is greater than the y-intercept of the line 7. The slope is positive. 8. Speed 9. It would be steeper.

y

2. 3. 4. 5. 6. 7. 8. 9. 10. 11.

3.6 (0, 0) F, H, and G 8.6 3, 4, 5 (-2, -1) -3, -3 Points W and Z x=2 Rhombus. Possible answer: The quadrilateral is a rhombus because its sides have equal length and the opposite sides are parallel.

4 2 y

5. 6. 7. 8. 9. 10.

(-3, -1) 2 P (1, 5), Q (1, 1), R (7, 1) 36 : 1 9:1 New area: 64 Ratio: 4 : 64 = 1 : 16 = 1 : 4 2 The ratio of the area of the new square to the area of the old square is 16 : 1.

Proportional Reasoning pp. 37­38

1. 2. 3. 4. 5. 6. 7. 8. 9. 18.9 in. 20 ft 8.4 cm, 28.8 cm, 30 cm 6 centimeters 20 centimeters 1.5 centimeters 17 11.25

2 in. 6 in.

M

Q

-4 -2 0 -2 2 4

Nx

P

miles

-4

Dilations pp. 33­34

time

x

Pythagorean Theorem pp. 29­30

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 2.5 m 10 cm 24 cm (2, 2, 4) 12 in., 35 in., 37 in. 1,025 24 cm and 26 cm 15 2 + 112 2 = 113 2 7, 24, 25 7 2 x 2 = ( 53 ) - 2 2 2 x = 53 - 4 x 2 = 49 x=7 11. 56 units 33 2 + x 2 = 65 2 1089 + x 2 = 4225 x 2 = 3136 x = 56

1. (6, 9) and ( -2 ,1) 2. (3, 2) and (3, 1) 1 3. __ 2 4. Dilation by a scale factor 1 of __ about the point A 2 5. (5, -5) 5 6. -3, __ 2 2 7. __ 3 8. (2, 2), (8, 2), (8, 8), (2, 8)

4 in.

(

)

4 2

y

x -4 -2 0 -2 -4 2 4

Effects of Dilation pp. 35­36

1 1. __ 4 2. Yes 1 4 5 3. __ , __ , __ 3 3 3 4. The image is always similar to the original.

1 __(3 ft) = 1 ft from 3 intersection to the top. So 2 ft from intersection to the bottom. 1 ft 2 in. ___ = ____ x in. 2 ft x = 4 in. So smaller kite is 2 in. from intersection to the top and 4 in. from intersection to bottom. So by proportional reasoning: 3 ft 6 in. ___ = ____ x in. 2 ft 3x = 12 x=4 So, width of the kite is 4 in.

Coordinate Geometry pp. 31­32

1. (0, -2)

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15

PASS Preparation and Practice Answer Key

Effects of Changing Dimensions on Area and Volume pp. 39­40

1. The area is 9 times the old area. 2. 112 ft 2 3. 27 times 4. 20,250 ft 3 5. 136.5 square meters 6. 40.5 in. 3 7. 409.92 cubic inches 8. 408 square meters 1 9. The volume is ___ the old 27 volume. 10. 4 centimeters 3 11. 80 ft

12. r 13. C = (13 × 2) 81.64 in.

2

Trapezoids pp. 45­46

1. 2. 3. 4. 5. 288 ft 2 75 ft 240 ft 2 71 ft The areas and perimeters of ABCD and EFGH must be the same. 38 cm 40 cm 2 One and a half times 1 __h(x + y) 2

7. 8. 9. 10. 11. 12.

6. 7. 8. 9.

About 12.8 kilometers About 25 kilograms About 360 grams About 44.8 inches About 10 kilometers/liter 6 × 1.1 = 6.6 L 6.6 L × 7 days = 46.2 L 13. 3 L: 3000 mL 6 pack: 6 × 500 mL = 3000 mL 12 pack: 12 x 12 oz = 144 oz 3L: $2.79 $2.79 ________ = ______ = 3000 mL 100 oz

0.0279 12 pack $3.99 _______: = ______ 12 oz 144 oz = 0.0277 6 pack 500 mL : 100 oz $3.25 ________ 3000 mL

10. 2y + a + b + 1 11. A = __ (8 × 1) 2 =4 P = 2 2 + 8 +

a 2 + h 2

Cones and Spheres pp. 41­42

1. 2. 3. 4. 5. 6. 7. 8. 9. 1 V = __ r 2h 3 4 V = __ r 3

b 2 + h 2

$3.25 = ______ = 0.0325

10.

3 2826 in 2 14,130 in 3 10.00 in. 500 ____ 3 125 ____ 3 4:1 a cone with the same height and double the radius of cone A 500 125 ____ : ____ 3 3 500 : 125 4:1

Accuracy and Precision pp. 47­48

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 160.5 centimeters 70.4 mm cubic millimeters 1% 610 centimeters 4.05 liters Santosh is more precise, but Brian is more accurate. 36 feet 6336 cubic inches 1 within __ inch 8 212 mm is most precise but 8.5 inches is most accurate since 212 mm = 8.35 inches and 8.5 is closest to 8.52 inches.

Scatter Plots and Lines of Best Fit pp. 51­52

1. line k 2. The line falls from left to right. 3. 25 4. The line rises from left to right. 5. As x increases, y stays the same. 6. The line may go through some data points and not others. 7. As x increases, y decreases. 8. The line falls from left to right. 9.

Circumference and Area pp. 43­44

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 254.47 in 2 63.62 in 2 12 in. 78.5 in 2 20.25 cm 2 60 ___ in. 2 100.48 in 2 About 85 28.26 in 2 4 cm 2 circle with a radius of 10 in.

Convert Between Measurement Systems pp. 49­50

1. 2. 3. 4. 5. 6. About 6 inches About 4.08 kilograms About 34 miles per hour About 2.7 quarts 100°F About 11 gallons

10. 52 11. It rises from left to right. 12. 18 or 19, the answers change by -5.

Organize Data pp. 53­54

1. Brand A, $70

Copyright © 2010 by Holt McDougal. All rights reserved.

16

PASS Preparation and Practice Answer Key

2. height on the x-axis, shoe size on the y-axis 3. Harrison won the popular vote but lost the election. City Highway 4.

Driving Driving Mid-size car Mini-van SUV

24 34 18 25 19 22

5. the price of an item and the number sold 6. the number of pages on the x-axis and the number sold on the y-axis 7. 70

65 60 55 50 45 40 Height (inches)

1 3. __ 2 1 4. __ 3 __ 5. 1 2 2 6. __ 3 __ 7. 1 3 8. Yes, she will be less likely to draw that same shape. 9. Independent event. It could be made a dependent event if she didn't replace the jelly beans.

12 12. ___ = 12 to 37 odds; 49 possible answer: since Joshua's three friends already drew 3 cards out of the decks, the deck is left with 49 cards in total and there are 4 aces, 4 kings and 4 queens left in the deck and if he picks one of these 12 cards he wins.

Area Models pp. 63­64

1. The point lies outside the square. 2. 67% 3. 6% 4. 10 in. 5. 83% 6. 3 7. 0.35 3 1 8. Y = ___ G = ___ 10 10 4 2 R = ___ OR = ___ 10 10

Dependent Events pp. 59­60

1. Rolling a die twice 2. She should not replace the red jelly bean. 3. A heart 1 4. __ 5 5. One orange and one blue 1 6. __ 7 __ 7. 1 8 8. 0.36 5 9. ___ 21 10. 4 red, 2 blue 20 5 5 4 11. __ · __ = ___ = ___ 9 8 72 18 12. either 2 blue or 1 blue, 1 brown

Probability pp. 55­56

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 25% 7.7% 16.7% 0.125 33.3% rolling two even numbers 25% The next student is most likely to buy an apple. It is unlikely that the next student will buy a peach. 45% He draws the blue tile much more often than theoretically probable. 18 11 ___ and ___. 40 61 Possible answer: The theoretical and the experimental probabilities will be closer as the number of trials increases.

1/ 04 6/ 04 1/ 05 6/ 05 1/ 06 6/ 06 1/ 07 6/ 07 1/ 08 6/ 08

Date

0

Measures of Data pp. 65­66

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. between 10 and 20% Jason Quinn does Quinn Victoria 38 3, 4, 7, 15, 32, 35 3, 5, 9, 11, 15, 17 1, 1, 2, 2, 2, 3, 3 The median for Store I is greater. 11. (4 + 7 + 8 + 12 + 13 + 16) ÷ 6 =10 12. 10 + 72 = 82

Odds pp. 61­62

1. 1 to 49 2. 2 to 3 p 3. _____ to 1 1-p 4. 2 to 3 5. It is more likely Tiger will NOT win. 6. 0.36 7. 1 to 3 8. 3 to 1 9. 20% 10. 1 to 1 11. Favor: a to b - a against: b - a to a

12.

Practice Test A pp. 67­78

1. 2. 3. 4. Linear Between $30 and $50 -15x 2 + 10x 5 3.7 hours 7 5. x = - __ 5

Probabilities of Dependent Events pp. 57­58

1. Taking a card from a deck, not replacing it, and taking another card from the deck 3 2. ___ 16

Copyright © 2010 by Holt McDougal. All rights reserved.

17

PASS Preparation and Practice Answer Key

6.

4 3 2 6 5 4 3 1 2 1 0 1 1 2 3 4 5 6 2 3

7. (0, 0), (-1, 0), (-1, -1), (0, -1) 8. 1000 9. 1,008 square inches 10. 7.6 cm 11. 212.625 cm 2 12. (-3 ,1) 3 4 13. between - __ and - ___ 5 10 14. $2.54 3 15. 268 in 16. 20.45 gallons 17. Increase by a factor of 4 18. Sets A and B have the same range. 19. Ruler with centimeter markings 20. 0.7 21. None of the lines meet. 22. (4, 2) and (2, -2) 23. Line c and point F 24. Positive odd integer 25. 8, 11, 14 26. p = 0.0021e 27. 50 28. $44.80 29. About 167 sheets 1 1 30. 0.23 is between __ and __ 8 4 31. -6 32. c = 7n 33. 7.5 and 12.5 centimeters 34. 27 and 28 35. 1 : x 36. It is equal to 25 × 49 . 37. 250 38. 99 to 1 1 39. ___ 32 40. 20 feet 41. About 6,000 people per square mile 42. The mean is greater than the median.

Copyright © 2010 by Holt McDougal. All rights reserved.

43. 2 centimeters = 25 miles 44. As a car's mileage increases, its value decreases. 1 45. 12 __ ft 4 46. 12 47. 60 48. 6, 8, 9, 12, 14, 16, 18 49. {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6} 50. 1 2 3 4 5 6 4 3 4 3 4 2 51. All rhombuses are parallelograms. 52. 24 1 53. __ 2 54. {RR, RG, RB, BB, GB} 55. 225 gallons 56. 54 m 2 1 57. __ 3 58. 38.4 inches 59. 14 inches 60. The slope of the line 61. C 62. -1 63. (3, 4) 64. 0 65. 3 66. 6% 67. 5a + 1000 16,000 68. 24 69. -3 70. A: 1100 = 5 2 · 14 B: 3079 = 14 2 · 5 The volume of B is much greater than the volume of A.

Practice Test B pp. 79­89

1. Between 30 and 35 2.

6 5 4 3 2 5 4 3 2 1 1 0 1 1 2 3 2 3 4 5

- 1 1 3. __ , 30%, __ , 0.4, 0.4 4 3 4. 1.4142 5. 12 2 = 144 1 6. __ 4 7. 12 8. --11 9. 0 10. A negative sloping line that crosses the y-axis at 7 11. 9 12. x < 24 13. n 2 14. 7.50h 15 15. c = 30 · 3 x 16. From 6.5° to 7.5° 17. A teaspoon 18. Volume of a cone 19. 15 cm 20. $3.54 21. 7 and 8 22. 4 : 1 23. 53.2 cm 24. about 2.7 kilometers 25. 60 ft 26. Points W, Q, T, N 27. 21.5 cm 2 28. 2, 3, 4, 97, 98 29. 2 30. 2 2 31. __ 5 32. The y-coordinate of the y-intercept 33. Nonlinear 34. The mean, median, and mode 35. 36 36. 12.5% 37. 8 in 3 38. 6, 3, 4, 11 39. (-6, -4) 40. 15 41. ÷ 42. Commutative Property 43. -4 44. -22 + 7x 45. 600 cm 3 46. 30 cm 47. 13 48. 7 3 49. ___ 13

18

PASS Preparation and Practice Answer Key

50. Greater than 50% 51. They will win four times for every nine times they lose. 52. 181 53. 33 inches 54. 2a, 2b, 2c 55. Deciding what to stock for the coin return 56. Only one of a or b must be odd. 57. Distributive Property 58. 3 + 8(2 - 7) = 3 + 16 - 56 5 59. __ 9 60. 19% 61. 1 to 3 62. It is positive 13 63. ___ 45 64. 5 65. 0.18 66. The slopes are opposite reciprocals of each other. 67. (-4, -3) 68. undefined 69. 150 = 2r r = 75 cm 29.5 in. 2 2 r = (29.5) 2 2734 in 70. c = 30h + 70

Copyright © 2010 by Holt McDougal. All rights reserved.

19

PASS Preparation and Practice Answer Key

ISBN-13: 978-0-03-093002-7 ISBN-10: 0-03-093002-2

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