CK-12 FOUNDATION. Algebra I Teacher s Edition - Answers to Assessment

CK-12 FOUNDATION Algebra I Teacher s Edition - Answers to Assessment

CK-12 Foundation is a non-profit organization with a mission to reduce the cost of textbook materials for the K-12 market both in the U.S. and worldwide. Using an open-content, web-based collaborative model termed the FlexBook, CK-12 intends to pioneer the generation and distribution of high-quality educational content that will serve both as core text as well as provide an adaptive environment for learning. Copyright 2010 CK-12 Foundation, www.ck12.org Except as otherwise noted, all CK-12 Content (including CK-12 Curriculum Material) is made available to Users in accordance with the Creative Commons Attribution/Non-Commercial/Share Alike 3.0 Unported (CC-by-NC-SA) License (http://creativecommons.org/licenses/by-nc-sa/3.0/), as amended and updated by Creative Commons from time to time (the CC License ), which is incorporated herein by this reference. Specific details can be found at http://www.ck12.org/about/terms. Printed: January 12, 2011

i www.ck12.org

Contents 1 Algebra I TE - Answers to Asse ssment 1 1.1 Chapter 1.............................................. 1 1.2 Chapter 2.............................................. 16 1.3 Chapter 3.............................................. 25 1.4 Chapter 4.............................................. 35 1.5 Chapter 5.............................................. 68 1.6 Chapter 6.............................................. 79 1.7 Chapter 7.............................................. 96 1.8 Chapter 8.............................................. 114 1.9 Chapter 9.............................................. 132 1.10 Chapter 10............................................. 141 1.11 Chapter 11............................................. 161 1.12 Chapter 12............................................. 177 www.ck12.org ii

Chapter 1 Algebra I TE - Answers to Asse ssment 1.1 Chapter 1 Variable Expressions-Quiz A 1. P = w + w + 8 + 8 A = 8w 2. 13 3. 5 4. 6 5. 254.34 in 2 6. 108 7. 164 8. 11 9. a. 12 ft b. 44 ft Variable Expressions-Quiz B 1. P = l + l + 12 + 12 A = 12l 2. 11 3. 0 4. 1 5. 706.50 in 2 6. 12 32 or 3 8 1 www.ck12.org

7. 13 8. 4 1 25 9. a. 4 ft b. 20 ft Variable Expressions-Quiz C 1. P = l + l + 9 + 9 A = 9l 2. 15 3. 2 4. 4 5. 452.16 in 2 6. 7 7. 3 8. 0 9. a. 36 ft b. 4 ft Order of Operations-Quiz A 1. 8 2. 12 3. 9 4. 18 5. 6 6. 1 7. 6 8. 14 9. 2 10. 9 Order of Operations-Quiz B 1. 5 2. 3 3. 11 4. 30 5. 12 www.ck12.org 2

6. 5 7. 9 8. 18 9. 1 10. 0 Order of Operations-Quiz C 1. 4 2. 8 3. 24 4. 15 5. 12 6. 2 7. 6 8. 26 9. 3 10. 13 Patterns and Equations-Quiz A 1. $6, 780 2. $1, 704 3. y = 2x + 10; 610 4. y = 7x 5. y = 50 4n Patterns and Equations-Quiz B 1. $9, 696 2. $1, 143 3. y = 3x + 5; 305 4. y = 6x 5. y = 75 6n Patterns and Equations-Quiz C 1. $18, 096 2. $1, 128 3 www.ck12.org

3. y = 5x + 10; 1, 010 4. y = 8x 5. y = 100 8n Equations and Inequalities-Quiz A 1. x + 15 = 32 2. 3x + 6 = 58 3. $29.95 + 0.15x 4. $9.42 5. $9 6. x + 6 7 7. c > 48 8. yes 9. no 10. no 11. yes 12. 6 bagels; 2 muffins Equations and Inequalities-Quiz B 1. x 12 = 6 2. 2x + 8 = 34 3. $4.95 + 2.95x 4. $6.67 5. $8 6. x + 7 12 7. c < 32 8. no 9. no 10. yes 11. yes 12. 9 bagels; 4 muffins Equations and Inequalities-Quiz C 1. x + 8 = 15 2. 3x 7 = 26 3. $19.95 + 0.20x www.ck12.org 4

4. $30.59 5. $9 6. x 8 21 7. c > 98 8. yes 9. no 10. yes 11. no 12. 12 bagels;6 muffins Functions as Rules and Tables-Quiz A 1. Domain: nonnegative real numbers Range: nonnegative real numbers 2. Domain: nonnegative real numbers Range: nonnegative real numbers 3. {1, 2, 5} 4. y values: 10, 7, 4, 1, 2 5. y values: 1 2, 1 6, 1 10, 1 14, 1 18 6. 2 4 6 8 10 11 22 33 44 55 7. 2 3 4 5 6 7 12 18 24 30 36 42 8. y = 50x 9. y = 2.5x 10. f (x) = 35 + 25x Functions as Rules and Tables-Quiz B 1. Domain: nonnegative real numbers Range: nonnegative real numbers 2. Domain: nonnegative real numbers Range: nonnegative real numbers 3. {2, 3, 6} 4. y values: 5, 3, 1, 1, 3 5. y values: 1, 2, 3, 4, 5 6. 5 www.ck12.org

2 4 6 8 10 13 26 39 52 65 7. 1 3 5 7 9 11 6 18 30 42 54 66 8. y = 55x 9. y = 3x 10. f (x) = 40 + 30x Functions as Rules and Tables-Quiz C 1. Domain: nonnegative real numbers Range: nonnegative real numbers 2. Domain: nonnegative real numbers Range: nonnegative real numbers 3. { 1, 0, 3} 4. y values: 5, 2, 1, 4, 7 5. y values: 1 3, 1 6, 1 9, 1 12, 1 15 6. 2 4 6 8 10 14 21 28 35 42 7. 2 3 4 5 6 7 16 24 32 40 48 56 8. y = 60x 9. y = 4x 10. f (x) = 37 + 32x Functions as Graphs-Quiz A 1-4 C01 001A www.ck12.org 6

5. C01 002a 6. C01 003a 7 www.ck12.org

7. no 8. yes 9. no 10. 11 shirts C01_004a www.ck12.org 8

Functions as Graphs-Quiz B 1-4 C01 005A 5. C01 006a 6. C01 007a 9 www.ck12.org

7. no 8. yes 9. no 10. 10 shirts C01_008a www.ck12.org 10

Functions as Graphs-Quiz C 1-4 C01 009A 5. C01 010a 6. C01 011a 11 www.ck12.org

7. no 8. yes 9. no 10. 7 shirts C01_012a www.ck12.org 12

Problem Solving Plan-Quiz A 1. 862.5 meters; 1012.5 meters 2. Melanie: 24 shirts; Hiro: 12 shirts 3. $11, 650.49 4. $575 5. 8 rides 6. $64.75 7. Leon made $2.70; $0.60 more than Kara 8. $8 Problem Solving Plan-Quiz B 1. 875 meters; 1025 meters 2. Melanie: 36 shirts; Hiro: 18 shirts 3. $14, 563.11 4. $250 5. 12 rides 6. $70.30 7. 4.5 miles 8. $12 Problem Solving Plan-Quiz C 1. 950 meters; 1250 meters 2. Melanie: 26 shirts; Hiro: 13 shirts 3. $11, 764.71 4. $300 5. 8 rides 6. $78.00 7. 4 th floor 8. $17 Problem Solving Strategies-Quiz A 1. 25 turkeys; 15 lambs 2. 10 ways 3. 110 adult 4. 81 square feet 13 www.ck12.org

Problem Solving Strategies-Quiz B 1. 35 turkeys; 25 lambs 2. 12 ways 3. 70 adult 4. 144 square feet Problem Solving Strategies-Quiz C 1. 30 turkeys; 20 lambs 2. 14 and 18 3. 80 adult 4. 225 square feet Test-A 1. 1 2. 9 3. 7 4. 32 5. y = 2x + 5; 155 6. x + 21 = 45 7. x + 7 17 8. yes 9. no 10. no 11. yes 12. { 1, 0, 3} 13. 2 3 4 5 6 50 75 100 125 150 14. y = 40x www.ck12.org 14

15. 16. not a function 17. $22 18. $595 19. 42 bicycles and 28 tricycles 20. 15 and 27 Test B 1. B 2. B 3. A 4. D 5. D 6. D 7. A 8. A 9. B 10. B 11. C 12. C 13. A 14. C 15. C 15 www.ck12.org

16. A 17. D 1.2 Chapter 2 Integers and Rational Numbers-Quiz A 1. > 2. > 3. < 4. 6 5. 1 3 6. 1 3, 2 5, 5 6 7. 1 4, 3 8, 3 5 8. 0 9. 0 10. 11 12 12. 8 13. 7 14. 2 15. 9 11. z + 5 Integers and Rational Numbers-Quiz B 1. < 2. > 3. < 4. 3 5. 1 4 6. 1 5, 2 7, 3 4 7. 1 3, 2 5, 5 8 8. 0 9. 0 10. 13 29 11. y 12. 8 13. 3 14. 1 15. 3 www.ck12.org 16

Integers and Rational Numbers-Quiz C 1. > 2. > 3. < 4. 4 5. 7 8 6. 7 18, 5 9, 2 3 7. 1 4, 3 8, 9 16 8. 0 9. 0 10. 7 s 11. n 2 m 12. 11 13. 2 14. 4 15. 2 Addition of Rational Numbers -Quiz A 1. 9 2. 1 3. 3 4. 17 21 5. 19 44 6. 23 18 7. additive identity 8. associative 9. commutative 10. 3 4 Addition of Rational Numbers -Quiz B 1. 6 2. 7 3. 4 4. 17 30 5. 5 9 6. 26 21 7. associative 17 www.ck12.org

8. commutative 9. additive identity 10. They are the same. Addition of Rational Numbers -Quiz C 1. 1 2. 9 3. 4 4. 11 12 5. 19 45 6. 34 35 7. commutative 8. associative 9. additive identity 10. 8 15 Subtraction of Rational Numbers-Quiz A 1. 1 8 2. 13 100 3. 17 45 4. 3 16 5. 3 10 6. 13 18 7. 2 9 8. 5; 7.5, 10; 12.5; 15; 17.5 9. 5 miles Subtraction of Rational Numbers-Quiz B 1. 1 6 2. 17 24 3. 1 5 4. 23 42 5. 1 12 6. 3 16 7. 7 15 8. 3.5; 7; 10; 14; 17.5; 21 www.ck12.org 18

9. 14 hours Subtraction of Rational Numbers-Quiz C 1. 3 10 2. 1 4 3. 31 45 4. 23 40 5. 3 10 6. 3 40 7. 5 12 8. 4; 6; 8; 10 9. 4 pounds Multiplication of Rational Numbers-Quiz A 1. 86.4 2. (x 4) 3. 6 4. 5 42 5. 1 12 6. 15 28 7. 1 15 8. 25 54 9. 1 4 10. commutative 11. distributive 12. 3 5 Multiplication of Rational Numbers-Quiz B 1. 26.9 2. (x + 7) 3. 9 4. 20 63 5. 1 18 6. 5 32 7. 5 36 8. 25 63 9. 7 36 19 www.ck12.org

10. distributive 11. multiplicative identity 12. 7 24 Multiplication of Rational Numbers-Quiz C 1. 17.2 2. (b + 4) 3. 4 4. 5 27 5. 2 21 6. 5 12 7. 5 14 8. 5 14 9. 14 45 10. commutative 11. multiplicative identity 12. 9 15 The Distributive Property-Quiz A 1. 120 2. 120 3. 45 4. 36x + 18 5. 35x 30 6. 4y2 9 26 9 7. x + 3 8. 2z 3 5 z 9. 5 + 3 10. 5 objects The Distributive Property-Quiz B 1. 117 2. 180 3. 119 4. 36x + 28 5. 56x 32 www.ck12.org 20

6. 6y2 7 22 7 7. x + 18 5 8. 2z 5 7 z 9. 9 + 9 10. 2 whistles The Distributive Property-Quiz C 1. 231 2. 128 3. 48 4. 4y + 22 5. 54x 6 6. 9n2 11 3 7. x + 3 8. 2z 47 9. m 3 + 9 10. 4 bags Division of Rational Numbers-Quiz A 1. 4 3 2. 7 30 3. 5 4. 4 5. 1 2 6. 1 1 4 7. 9 40 8. 6xy 9. 2xy 7 10. 12 mph Division of Rational Numbers-Quiz B 1. 8 5 2. 3 20 3. 13 4. 2 21 www.ck12.org

5. 1 7 6. 4 21 7. 9 20 8. 4xy 9. xy 10 10. 54 pages Division of Rational Numbers-Quiz C 1. 9 7 2. 11 91 3. 24 4. 3 5. 2 7 6. 25 96 7. 9 25 8. 4xy 9. xy 56 10. 64 mph Square Root and Real Numbers-Quiz A 1. 6 2. 12 3. 19 4. 3 3 5. 5 2 6. 6 3 7. 6 8. 4 9. rational 10. irrational 11. rational 12. irrational 13. 1 1 4 or 1.25 Square Root and Real Numbers-Quiz B 1. 7 www.ck12.org 22

2. 14 3. 21 4. 3 6 5. 5 5 6. 4 5 7. 9 8. 6 9. rational 10. rational 11. rational 12. irrational 13. 2 3 4 or 2.75 Square Root and Real Numbers-Quiz C 1. 9 2. 17 3. 23 4. 2 14 5. 4 7 6. 7 5 7. 4 5 8. 7 9. irrational 10. rational 11. rational 12. rational 13. 2 2 3 or 2. 6 Problem Solving Strategies: Guess and Check, Work Backwards- Quiz A 1. 16; 48 2. $609.75 3. 19 years old 4. 100 minutes 5. 2 quarters, 3 dimes, 1 nickel 23 www.ck12.org

Problem Solving Strategies: Guess and Check, Work Backwards- Quiz B 1. 60 inches; 180 inches 2. 1476 cards 3. 173 and 174 4. 30 miles 5. 2 quarters, 3 dimes, 3 nickels Problem Solving Strategies: Guess and Check, Work Backwards- Quiz C 1. 35 inches; 37 inches 2. 2 people 3. 57; 59; 61 4. 5000 copies 5. 1 quarter, 2 dimes, 1 nickel, 3 pennies Test-A 1. > 2. < 3. > 4. 8 5. 1 6 6. 3 4 7. 14 8. 8 9. 0 10. 1 11. 0 12. 5 8 13. 11 12 14. 1 8 15. 31 45 16. 3 10 17. 21 40 18. 5 32 19. 3 1 3 www.ck12.org 24

20. 2 1 4 21. 4 5 22. 17 23. 6 3 24. 6 11 25. 8 26. 7 27. 2 15 28. 56 mph 29. 8 years old 30. $894.75 Test B 1. C 2. B 3. C 4. C 5. D 6. B 7. D 8. A 9. D 10. C 11. C 12. B 13. A 14. B 15. D 16. C 17. A 18. D 1.3 Chapter 3 One-Step Equations-Quiz A 1. x = 21 2. y = 15 25 www.ck12.org

3. p = 6 4. x = 2 9 5. p = 196 6. y = 32 7. x = 4 63 8. z = 1.45 9. $675 10. 90 feet One-Step Equations-Quiz B 1. x = 26 2. y = 17 3. p = 12 4. x = 5 8 5. p = 54 6. x = 5 7. x = 1 9 8. z = 13.3 9. $114 10. $80 One-Step Equations-Quiz C 1. x = 22 2. y = 21 3. p = 3.755 4. x = 5 24 5. p = 112 6. x = 4.5 7. x = 36 8. z = 4.7 9. $2.68 10. $90 Two-Step Equations-Quiz A 1. x = 3 2. x = 9 www.ck12.org 26

3. x = 4.5 4. y = 75 5. x = 68 6. x = 74 7. x = 44 8. x = 1 1 2 9. 14 bulbs 10. 100.4 F Two-Step Equations-Quiz B 1. x = 12 2. x = 13 3. x = 5 4. y = 72 5. x = 43 6. x = 251 7. z = 8 8. x = 0 9. 18 packages 10. 64.4 F Two-Step Equations-Quiz C 1. x = 21 2. x = 8 3. x = 7 4. y = 20 5. x = 22 6. x = 56 7. z = 3 8. x = 2 9. 22 spools of thread 10. 51.8 F Multi-Step Equations-Quiz A 1. x = 1 3 2. x = 33 4 3. x = 26 1 2 27 www.ck12.org

4. x = 21 5. x = 8 3 6. x = 3 40 7. 13.2 gallons 8. 38 mph Multi-Step Equations-Quiz B 1. x = 1 2 2. x = 2 9 10 3. x = 45 4. x = 23 5. x = 22 6. x = 13 60 7. 18 gallons 8. 40 mph Multi-Step Equations-Quiz C 1. x = 1 2 2. x = 6 3. x = 68 4. x = 24 5. x = 17 6. x = 7 32 7. 19.6 gallons 8. 31 mph Equations with Variables on Both Sides-Quiz A 1. x = 8 3 or 2 2 3 2. x = 5 3. x = 9 4. x = 1 5. x = 8 7 6. x = 1 3 7. x = 9 10 8. x = 16 www.ck12.org 28

9. x = 1 7 10. x = 16 5 11. x = 1 12. x = 2 Equations with Variables on Both Sides Quiz B 1. x = 3 2. x = 5 3. x = 5 4. x = 11 8 5. x = 16 21 6. x = 1 2 7. x = 3 4 8. x = 6 2 9 9. x = 2 7 10. x = 28 11. x = 0 12. x = 1 2 Equations with Variables on Both Sides Quiz C 1. x = 5 2 3 2. x = 5 6 3. x = 14 4. x = 6 5. x = 14 5 6. x = 9 8 7. x = 2 3 8. x = 7 1 5 9. x = 16 7 10. x = 34 11. x = 1 2 3 12. x = 1 4 Ratios and Proportions Quiz A 1. 8 5 29 www.ck12.org

2. 11 3 3. 23 mpg 4. x = 45 5. x = 33.75 6. x = 12 7. x = 28 8. x = 1 9. x = 8.06 10. 87 tickets 11. 480 mg 12. 2975 square feet Ratios and Proportions Quiz B 1. 5 1 2. 11 9 3. 28 mpg 4. x = 9 5. x = 11.25 6. x = 14 7. x = 11 2 3 8. x = 10.5 9. x = 1.1 10. 138 tickets 11. 170 mg 12. 3825 square feet Ratios and Proportions Quiz C 1. 3 1 2. 6 5 3. 32 mpg 4. x = 12 5. x = 20 6. x = 12 7. x = 12.5 8. x = 31.5 9. x = 1.15 www.ck12.org 30

10. 177 tickets 11. 750 mg 12. 5525 square feet Scale and Indirect Measurement Quiz A 1. 25 feet 2. 87.6 miles 3. 22 feet 4. 375 feet 5. 650 miles 6. 33 feet Scale and Indirect Measurement Quiz B 1. 100 feet 2. 113.4 miles 3. 16 feet 4. 5621/2 feet 5. 540 miles 6. 67.2 feet Scale and Indirect Measurement Quiz C 1. 75 feet 2. 184.8 miles 3. 36 feet 4. 72 feet 5. 255 miles 6. 36 feet Percent Problems Quiz A 1. 25% 2. 8% 3. 4% 4. 60% 5. 27.5% 6. 80% 31 www.ck12.org

7. 0.35 8. 0.7 9. 31 50 10. 9 100 11. 23.4 12. $18.75 13. $3840 14. 50.15 15. 80% decrease Percent Problems Quiz B 1. 37% 2. 2% 3. 70% 4. 80% 5. 32.5% 6. 85% 7. 0.13 8. 2.7 9. 19 50 10. 3 100 11. 27.2 12. 78% 13. $3422 14. 55.50 15. 157% increase Percent Problems Quiz C 1. 82% 2. 6% 3. 10% 4. 40% 5. 22.5% 6. 28% 7. 0.57 8. 0.05 www.ck12.org 32

9. 17 20 10. 107 50 11. 64.8 12. 62% 13. $3596 14. $134.40 15. 4% increase Problem Solving Strategies: Use a Formula-Quiz A 1. 9 ft by 12 ft 2. 14 ft wide by 28 ft long 3. 2 hrs12 minutes 4. 5 mph 5. $375 6. $6.75 Problem Solving Strategies: Use a Formula-Quiz B 1. 18 ft by 21 ft 2. 12 ft wide by 24 ft long 3. 6 mph 4. 30 mph 5. $480 6. $6.25 Problem Solving Strategies: Use a Formula-Quiz C 1. 16 ft by 21 ft 2. 16 ft wide by 32 ft long 3. 9 mph 4. 15 mph 5. $688 6. $5.75 Test-A 1. x = 25 2. x = 1 24 33 www.ck12.org

3. x = 16 4. x = 7 40 5. x = 5 1 3 6. x = 6 7. x = 33 8. x = 2 9. x = 3 10. x = 1 7 9 11. x = 3 4 12. x = 4 5 13. x = 12 14. x = 1 1 3 15. x = 21 16. x = 84 17. x = 112.5 18. x = 6 19. 39% 20. 75% 21. 1% 22. 93.75% 23. 0.94 24. 0.2 25. 9 125 26. 21 25 27. 5 packages 28. 46 mph 29. 1 3 4 inch 30. 33 feet 31. $186.20 Test B 1. C 2. A 3. C 4. A 5. C www.ck12.org 34

6. C 7. B 8. B 9. A 10. B 11. D 12. A 13. B 14. D 15. C 16. B 17. C 18. B 19. A 20. B 21. a. Precent change = b. 92% c. decrease final amount original amount original amount 100% 1.4 Chapter 4 The Coordinate Plane-Quiz A 1. A( 8, 1) B( 2, 5) C(3, 6) D(9, 0) E(6, 3) F( 1, 7) G( 5, 6) 2. Check student grids. 35 www.ck12.org

3. www.ck12.org 36

4. The Coordinate Plane-Quiz B 1. A( 7, 1) B( 3, 5) C(4, 6) D(8, 0) E(7, 3) F( 2, 7) G( 6, 6) 2. Check student grids. 37 www.ck12.org

3. www.ck12.org 38

4. The Coordinate Plane-Quiz C 1. A( 7, 2) B( 3, 4) C(4, 7) D(9, 0) E(7, 4) F( 2, 8) G( 6, 7) 2. Check student grids. 39 www.ck12.org

3. www.ck12.org 40

4. Graphs of Linear Equations-Quiz A 1. $28 41 www.ck12.org

2. 3. 4. about $195 www.ck12.org 42

Graphs of Linear Equations-Quiz B 1. $28 43 www.ck12.org

2. 3. 4. about $225 www.ck12.org 44

Graphs of Linear Equations-Quiz C 1. $27 45 www.ck12.org

2. 3. 4. about $395 www.ck12.org 46

Graphing Using Intercepts-Quiz A 1. x intercept: (1/3, 0); y intercept: (0, 1) 2. x intercept: (3, 0); y intercept: (0, 9) 3. x intercept: (2, 0); y intercept: (0, 4) 4. x intercept: (4, 0); y intercept: (0, 3) 5. 47 www.ck12.org

6. Graphing Using Intercepts-Quiz B 1. x intercept: (1/4, 0); y intercept: (0, 1) 2. x intercept: (4, 0); y intercept: (0, 12) 3. x intercept: (4, 0); y intercept: (0, 16) 4. x intercept: (2, 0); y intercept: (0, 6) 5. www.ck12.org 48

6. Graphing Using Intercepts-Quiz C 1. x intercept: (1/5, 0); y intercept: (0, 1) 2. x intercept: (3, 0); y intercept: (0, 12) 3. x intercept: (4, 0); y intercept: (0, 2) 4. x intercept: (7, 0); y intercept: (0, 2) 5. 49 www.ck12.org

6. Slope and Rate of Change-Quiz A 1. m = 2 2. m = 3 3. 1/4 4. undefined 5. 2 6. 10 7. A running at a rate of 8 minutes/mile B resting C running at a rate of 14 minutes/mile D resting E running at a rate of 24 minutes/mile F running at a rate of 11.25 minutes/mile Slope and Rate of Change-Quiz B 1. m = 3 2. m = 2 3. 1/4 4. undefined 5. 4 6. 15 www.ck12.org 50

7. A balloon rising 400 feet in 8 minutes B balloon at the same altitude C balloon rising 400 feet in 12 minutes D resting E balloon descending 400 feet in 12 minutes F balloon descending 400 meters in 18 minutes Slope and Rate of Change-Quiz C 1. m = 4 2. m = 1 3. 1/7 4. undefined 5. 2 6. 8 7. A swam 10 laps in 12 minutes B rested for 8 minutes C swam 30 laps in 20 minutes D rested for 14 minutes E swam 20 laps in 20 minutes F swam 20 laps in 36 minutes Graphs Slope-Intercept Form-Quiz A 1. m = 4; y intercept = 1 2. m = 2/3; y intercept = 4 3. m = 6; y intercept = 0 4. m = zero; y intercept = 5 5. m = 8; y intercept = 2 6. m is undefined and there is no y intercept 51 www.ck12.org

7. 8. 9. b and d are parallel Graphs Slope-Intercept Form-Quiz B 1. m = 5; y intercept = 1 2. m = 3/4; y intercept = 1 3. m = 3; y intercept = 0 4. m = zero; y intercept = 9 www.ck12.org 52

5. m = 1; y intercept = 2 6. m is undefined and there is no y intercept 7. 8. 9. b and d are parallel Graphs Slope-Intercept Form-Quiz C 1. m = 2; y intercept = 1 2. m = 3/5; y intercept = 1 53 www.ck12.org

3. m = 9; y intercept = 0 4. m = zero; y intercept = 1 5. m = 3; y intercept = 4 6. m is undefined and there is no y intercept 7. 8. 9. a and d are parallel www.ck12.org 54

Direct Variation Models-Quiz A 1. k = 3 2. k = 6 3. 4. 5. $288 6. 24 pounds 7. 24 inches 55 www.ck12.org

8. 38 cm Direct Variation Models-Quiz B 1. k = 4 2. k = 7 3. 4. 5. $288 6. 27 pounds www.ck12.org 56

7. 28 inches 8. 53 1 3 cm Direct Variation Models-Quiz C 1. k = 5 2. k = 12 3. 4. 57 www.ck12.org

5. $385 6. 32 pounds 7. 32 inches 8. 60 cm Linear Function Graphs-Quiz A 1. f (x) = 3x 2 2. f (x) = 0.4x + 9 3. f (x) = x 2 x 4. f (x) = 3 3 4 x 5. 1 6. 19 7. 2w 5 8. www.ck12.org 58

9. 10. 6 11. 5 12. 6 13. 9 14. f (x) = 50 0.10x; 500 minutes Linear Function Graphs-Quiz B 1. f (x) = 5x 1 2. f (x) = 0.25x + 3 3. f (x) = x+1 2 4. f (x) = 5 5 3 x 5. 1 6. 22 7. 3t 5 59 www.ck12.org

8. 9. 10. 8 11. 12 12. 4 13. 7 14. f (x) = 40 0.08x; 500 minutes www.ck12.org 60

Linear Function Graphs-Quiz C 1. f (x) = 6x + 2 2. f (x) = 0.8x 1 3. f (x) = x 4 5 4. f (x) = 2 1 2 x 5. 7 6. 51 7. 4z + 3 8. 61 www.ck12.org

9. 10. 11 11. 8 12. 14 13. 5.5 14. f (x) = 60 0.12x; 500 minutes Problem Solving Strategies-Quiz A 1. 30 hours www.ck12.org 62

2. about $580 Problem Solving Strategies-Quiz B 1. almost 20 hours 2. a little over $300 63 www.ck12.org

Problem Solving Strategies-Quiz C 1. about 28 hours 2. about $275 www.ck12.org 64

Test A 1. 65 www.ck12.org

2. 3. www.ck12.org 66

4. 5. m = 2; x-intercept: ( 3 2, 0); y-intercept: (0, 3) 6. m = 4; x-intercept: (2, 0); y-intercept: (0, 8) 7. m = 3 4 ; x-intercept: ( 20 3, 0); y-intercept: (0, 5) 8. 1 4 9. undefined 10. a and d 11. k = 3 12. $42 13. f (x) = x+1 4 14. f (x) = 2 2 7 x 15. 2 16. 32 17. 3w 4 18. +8 19. 6 20. about $245 67 www.ck12.org

Test B 1. B 2. C 3. C 4. D 5. C 6. B 7. C 8. B 9. D 10. B 11. B 12. B 13. A 14. C 1.5 Chapter 5 Linear Equations in Slope-Intercept Form-Quiz A 1. y = 4x 2 www.ck12.org 68

2. y = 2x + 3 3. y = 3x + 5 4. y = 3 4 x + 1 5 5. y = 4x 1 6. y = 3x 1 7. y = 2x 1 8. y = 3 4 x + 1 9. y = 5x 4 10. y = 6x + 1 11. y = 1 2 x + 2 12. y = 2x 4 13. y = 250 + 75x; $700 Linear Equations in Slope-Intercept Form-Quiz B 1. y = 3x 5 2. y = 3x + 4 3. y = 4x + 7 4. y = 2 3 x + 1 3 5. y = 3x + 2 6. y = 3x + 2 7. y = 3x + 1 8. y = 2 3 x 1 9. y = 3x + 2 10. y = 3x + 2 11. y = 1 2 x 1 12. y = 3x 2 13. y = 350 + 85x; $945 Linear Equations in Slope-Intercept Form-Quiz C 1. y = 6x 1 2. y = 5x + 1 3. y = 5x + 8 4. y = 4 7 x + 1 2 5. y = 5x 1 6. y = 4x + 1 7. y = 4x 3 69 www.ck12.org

8. y = 3 5 x + 2 9. y = 7x 3 10. y = 4x 5 11. y = 3 4 x + 2 12. y = 5x + 1 13. y = 275 + 65x; $795 Linear Equations in Point-Slope Form-Quiz A 1. y 3 = 2x 2. y + 5 = 4x 3. y 5 = 2 3 (x 2) 4. y 9 = 4 5 (x 4) 5. y 3 = 2 3 (x 5) or y + 1 = 2 3 (x + 6) 6. y 11 = 4(x 3) or y + 17 = 4(x + 4) 7. y 350 = 120x 8. y 7.6 = 6.4(x 3.5) 9. y = 4x + 10 10. y = 2x 12 11. www.ck12.org 70

12. 13. $600 Linear Equations in Point-Slope Form-Quiz B 1. y 4 = 3x 2. y + 6 = 3x 3. y 7 = 3 4 (x 3) 4. y 10 = 5 10 (x 5) 5. y + 1 = 1 5 (x 5) or y + 4 = 1 5 (x + 10) 6. y 22 = 3(x 6) or y + 8 = 3(x + 4) 7. y 760 = 250x 8. y 9.3 = 8.1(x 6.2) 9. y = 4x + 11 10. y = 2x 9 71 www.ck12.org

11. 12. 13. $1175 Linear Equations in Point-Slope Form-Quiz C 1. y 5 = 4x 2. y + 7 = 2x 3. y 4 = 5 6 (x 1) www.ck12.org 72

4. y 7 = 7 8 (x 3) 5. y 8 = 7 8 (x 8) or y + 13 = 7 8 (x + 16) 6. y 7 = 5(x 2) or y + 18 = 5(x + 3) 7. y 125 = 75x 8. y 9.6 = 3.5(x 7.2) 9. y = 4x + 16 10. y = 2x 10 11. 12. 73 www.ck12.org

13. $1035 Linear Equations in Standard Form-Quiz A 1. 3x y = 2 2. x + 4y = 7 3. 3x 12y = 8 4. 2x + y = 0 5. m = 3/7; b = 3 6. m = 1/4; b = 9/4 7. 3x 4y = 12 8. x + y = 2 9. 4x + 9y = 3950 10. 2x + 3y = 690; 150 feet Linear Equations in Standard Form-Quiz B 1. 4x y = 1 2. x + 6y = 8 3. 3x 12y = 3 4. 2x + y = 1 5. m = 4/5; b = 4 6. m = 1/5; b = 12/5 7. 4x 5y = 20 8. x + y = 3 9. 3x + 5y = 1360 10. 2x + 3y = 510; 120 feet Linear Equations in Standard Form-Quiz C 1. 5x y = 3 2. x + 2y = 3 3. x 10y = 10 4. 3x + y = 10 5. m = 3/4; b = 3 6. m = 1/3; b = 7/3 7. 2x 3y = 6 8. x + y = 4 9. 3x + 7y = 2200 www.ck12.org 74

10. 2x + 3y = 830; 210 feet Equations of Parallel and Perpendicular Lines Quiz A 1. parallel 2. perpendicular 3. perpendicular 4. neither 5. y = 1 3 x 1 6. y = 5x + 2 7. x = 6 8. y = 4x 3 9. y = 3 10. y = 3 5 x 4 Equations of Parallel and Perpendicular Lines Quiz B 1. parallel 2. perpendicular 3. perpendicular 4. neither 5. y = 1 4 x 2 6. y = 1 5 x 3 7. x = 7 8. y = 9x + 4 9. y = 2 10. y = 5 6 x 2 Equations of Parallel and Perpendicular Lines Quiz C 1. parallel 2. perpendicular 3. perpendicular 4. neither 5. y = 1 6 x + 1 6. y = 1 3 x 7 7. x = 8 8. y = 7x 5 9. y = 7 75 www.ck12.org

10. y = 1 4 x 3 Fitting a Line to Data Quiz A 1. y = 0.81x + 3.7; check student scatter plots 2. y = 0.91x + 13.57; check student scatter plots 3. y = 0.8x + 26.8 4. y = 1600x + 15, 650; check student scatter plots Fitting a Line to Data Quiz B 1. y = 0.81x + 3.9; check student scatter plots 2. y = 0.91x + 12.65; check student scatter plots 3. y = 0.8x + 44.87 4. y = 1586.06x + 15, 045.41; check student scatter plots Fitting a Line to Data Quiz C 1. y = 0.81x 0.37; check student scatter plots 2. y = 0.92x + 16.26; check student scatter plots 3. y = 0.8x + 22.84 4. y = 1690x + 15, 821.39; check student scatter plots Predicting with Linear Models Quiz A 1. sample scatterplot of data 2. The estimate will not be reasonable since there comes a point when the times cannot continue to decrease. Predicting with Linear Models Quiz B 1. sample scatterplot of data www.ck12.org 76

2. The estimate will not be reasonable since there comes a point when the times cannot continue to decrease. Predicting with Linear Models Quiz C 1. sample scatterplot of data 2. The estimate will not be reasonable since there comes a point when the times cannot continue to decrease. Problem Solving Strategies: Use a Linear Model Quiz A, B, C 77 www.ck12.org

Regression equation: 0.06x + 140.4876543 1975: about 21.98 1935: about 24.39 2005: about 20.19 Test A Test B 1. A 2. D 3. B 4. C 5. C 6. A 7. D 8. C 9. A 10. B 11. C 12. D 13. A Open Ended a. Plan A: y = 0.50x Plan B: y = 15 + 0.25x Plan C: y = 59.95 www.ck12.org 78

b. c. Plan B would be the best plan for only using 160 minutes. It would be the cheapest. 1.6 Chapter 6 Inequalities Using Addition and Subtraction-Quiz A 1. 2. 3. x 1 4. x > 60 5. x > 4 6. x 2 Inequalities Using Addition and Subtraction-Quiz B 1. 2. 3. x 2 4. x 7 79 www.ck12.org

5. x > 5 6. x 3 Inequalities Using Addition and Subtraction-Quiz C 1. 2. 3. x < 7 4. x > 20 5. x > 8 6. x 3 Inequalities Using Multiplication and Division-Quiz A 1. [1, 6] 2. [4, 8) 3. (5, 13) 4. x < 7, (, 7) 5. x > 7 3, ( 7 3, ) 6. x 1, [ 1, ) 7. x 4 8. x 3 www.ck12.org 80

Inequalities Using Multiplication and Division-Quiz B 1. [4, 10] 2. [3, 7) 3. (1, 9) 4. x < 14, (, 14) 5. x > 30 7, ( 30 7, ) 6. x 3, [ 3, ) 7. x 7 8. x 6 Inequalities Using Multiplication and Division-Quiz C 1. [1, 3] 2. [2, 8) 3. (3, 5) 4. x < 7, (, 7) 5. x > 10 3, ( 10 3, ) 6. x 2, [ 2, ) 7. x 6 8. x 10 Multi-Step Inequalities-Quiz A 1. x 1 2. x 20 3. x 2 81 www.ck12.org

4. x > 8 5. x 6; Tom may place at most 6 boxes on the cart. 6. x 16; Jackson needs to sell at least 16 more subscriptions 7. x 24; The length must be at least 24 inches. 8. x 8; Susan will need to volunteer at least 8 days. Multi-Step Inequalities-Quiz B 1. x 3 2. x 32 3. x 5 4. x 6 5. x 15; The most balloons you can pop are 15. 6. x 26; At most the parking lot will hold 26 more cars. 7. x 36; The length must be at least 36 inches. 8. x 10; Susan will need to volunteer at least 10 days. Multi-Step Inequalities-Quiz C 1. x 6 2. x 24 3. x 2 4. x 6 www.ck12.org 82

5. x 15; The most balloons you can pop are 5. 6. x 22; At most the parking lot will hold 22 more cars. 7. x 25; The length must be at least 36 inches. 8. x 12; Susan will need to volunteer at least 10 days. Compound Inequalities-Quiz A 1. 2. 3. 4. 5. 12.8 t < 14.4 hours Compound Inequalities-Quiz B 1. 2. 3. 4. 5. 10 t < 11.2 hours Compound Inequalities-Quiz C 1. 2. 3. 4. 5. 12 t < 12.8 hours 83 www.ck12.org

Absolute Value Equations-Quiz A 1. 18 2. 134 3. 15 16 4. 6 5. 14 6. 7 7. x = 2 and 2 8. x = 5 and 13 9. x = 4 and x = 1 10. 11. www.ck12.org 84

Absolute Value Equations-Quiz B 1. 26 2. 18 3. 11 16 4. 13 5. 8 6. 13 7. x = 21 and 21 8. x = 7 and 21 9. x = 7 and x = 2 10. 11. 85 www.ck12.org

Absolute Value Equations-Quiz C 1. 54 2. 13 3. 3 4 4. 5 5. 11 6. 6 7. x = 46 and 46 8. x = 2 and 16 9. x = 3 and x = 8 10. 11. www.ck12.org 86

Absolute Value Inequalities -Quiz A 1. 2. 3. 4. 5. 6. t 5.4 or t 1 Absolute Value Inequalities -Quiz B 1. 2. 3. 4. 5. 6. t 6.2 or t 0.2 Absolute Value Inequalities-Quiz C 1. 2. 3. 4. 5. 6. t 5.8 or t 0.6 87 www.ck12.org

Linear Inequalities in Two Variables -Quiz A 1. 2. www.ck12.org 88

3. 4. 5. 89 www.ck12.org

Linear Inequalities in Two Variables -Quiz B 1. 2. www.ck12.org 90

3. 4. 91 www.ck12.org

5. Linear Inequalities in Two Variables-Quiz C 1. www.ck12.org 92

2. 3. 4. 93 www.ck12.org

5. Test A 1. 2. 3. x > 7 4. x 5 5. x 4 6. x 15 7. [2, 7) 8. x > 2 9. x > 21 10. 14 > x < 2 www.ck12.org 94

11. 8 12. 5 13. 12 14. x > 2, x < 2/3 15. 16. Test B 1. A 2. D 95 www.ck12.org

3. B 4. D 5. C 6. B 7. A 8. B 9. D 10. C 11. D 12. D 13. A 14. A 15. Answers will vary 1.7 Chapter 7 Linear Systems by Graphing-Quiz A 1. yes 2. no 3. (2, 1) 4. (7, 2) www.ck12.org 96

5. 40 single dip and 70 double dip Linear Systems by Graphing-Quiz B 1. yes 2. no 3. (3, 2) 97 www.ck12.org

4. (5, 8) 5. 65 single dip and 55 double dip www.ck12.org 98

Linear Systems by Graphing-Quiz C 1. yes 2. no 3. ( 1, 6) 4. (2, 5) 99 www.ck12.org

5. 35 single dip and 65 double dip Solving Linear Systems Substitution-Quiz A 1. (3, 4) 2. (1, 3) 3. ( 14, 19) 4. (4, 1) www.ck12.org 100

5. (2, 3) 6. ( 8, 5) 7. (7, 3) 8. ( 2, 3) 9. $3 for popcorn and $2 for pizza 10. 33 1/3 walnuts and 16 2/3 almonds Solving Linear Systems Substitution-Quiz B 1. (3, 6) 2. (1, 4) 3. ( 12, 11) 4. (5, 1) 5. (2, 4) 6. ( 3, 4) 7. (8, 2) 8. ( 3, 4) 9. $4 for popcorn and $3 for pizza 10. 13 1 3 walnuts and 26 2 3 almonds Solving Linear Systems Substitution-Quiz C 1. (3, 5) 2. (2, 1) 3. ( 8, 3) 4. (6, 2) 5. ( 1, 2) 6. ( 5, 6) 7. (6, 3) 8. ( 1, 5) 9. $2 for popcorn and $3 for pizza 10. 20 walnuts and 40 almonds Solving Linear Systems by Substitution-Quiz A 1. (2, 1) 2. ( 2, 3) 3. (2.5, 1) 101 www.ck12.org

4. (2, 2) 5. (5, 8) 6. (3, 5) 7. $4 for a craft kit and $3 for a picture frame mat 8. 79 pennies and 36 dimes Solving Linear Systems by Substitution-Quiz B 1. (3, 2) 2. ( 4, 3) 3. (3.5, 1) 4. (3, 4) 5. (6, 2) 6. (5, 7) 7. $4 for a craft kit and $3 for a picture frame mat 8. 82 pennies and 38 dimes Solving Linear Systems by Substitution-Quiz C 1. (4, 1) 2. ( 3, 5) 3. (4.5, 1) 4. (4, 3) 5. (8, 4) 6. (7, 9) 7. $4 for a craft kit and $3 for a picture frame mat 8. 54 pennies and 56 dimes Solving Linear Systems by Multiplication-Quiz A 1. (2, 3) 2. (0, 1) 3. (3, 4) 4. ( 2, 7) 5. (2, 4) 6. ( 6, 2) 7. $4000 at 5% and $3000 at 8% 8. 6 1 binders and 2 3 binders www.ck12.org 102

Solving Linear Systems by Multiplication-Quiz B 1. (2, 4) 2. (0, 2) 3. (3, 5) 4. ( 2, 6) 5. (2, 3) 6. ( 6, 1) 7. $4500 at 5% and $2500 at 8% 8. 5 1 binders and 3 3 binders Solving Linear Systems by Multiplication-Quiz C 1. (2, 2) 2. (0, 3) 3. (3, 2) 4. ( 2, 5) 5. (2, 5) 6. ( 6, 3) 7. $3000 at 5% and $4000 at 8% 8. 2 1 binders and 6 3 binders Special Types of Linear Systems-Quiz A 1. inconsistent 2. (3, 2); consistent; independent 3. consistent; dependent 4. consistent; dependent 5. inconsistent 6. ( 1, 5); consistent; independent 7. (1, 1); consistent; independent 8. consistent; dependent 9. 36 single pie and 48 double pie 10. Inconsistent system; cannot determine the price. Special Types of Linear Systems-Quiz B 1. inconsistent 2. ( 2, 1); consistent; independent 103 www.ck12.org

3. consistent; dependent 4. consistent; dependent 5. inconsistent 6. ( 2, 3); consistent; independent 7. (2, 1); consistent; independent 8. consistent; dependent 9. 27 single pie and 45 double pie 10. Inconsistent system; cannot determine the price. Special Types of Linear Systems-Quiz C 1. inconsistent 2. ( 3, 1); consistent; independent 3. consistent; dependent 4. consistent; dependent 5. inconsistent 6. ( 3, 4); consistent; independent 7. (3, 1); consistent; independent 8. consistent; dependent 9. 58 single pie and 38 double pie 10. Inconsistent system; cannot determine the price. Systems of Linear Inequalities-Quiz A 1. www.ck12.org 104

2. no solution 3. 105 www.ck12.org

4. 5. Maximum at (5, 5). www.ck12.org 106

Systems of Linear Inequalities-Quiz B 1. 2. no solution 107 www.ck12.org

3. 4. 5. Maximum at (5, 5). www.ck12.org 108

Systems of Linear Inequalities-Quiz C 1. 2. no solution 109 www.ck12.org

3. www.ck12.org 110

4. 5. Maximum at (5, 5). Test A 1. yes 2. no 111 www.ck12.org

3. 4. 5. (2, 4) 6. (0, 3) 7. (3, 4) www.ck12.org 112

8. infinitely many solutions 9. no solution 10. (5, 5) 11. 12. 13. $6200 at 7% and $5800 at 8.5% 14. 24 mph 113 www.ck12.org

15. 78 dozen muffins and 52 dozen cookies Test B 1. A 2. D 3. A 4. B 5. C 6. A 7. D 8. B 9. C 10. C 11. A 12. D 1.8 Chapter 8 Exponent Properties Involving Products-Quiz A 1. x 4 2. ( 6) 5 3. 64 4. 64 5. y 7 6. x 11 7. 243 8. 64 9. 32 10. 15, 625 11. x 8 12. y 12 13. 128x 7 y 10 14. 72a 14 b 5 Exponent Properties Involving Products-Quiz B 1. x 5 www.ck12.org 114

2. ( 7) 3 3. 125 4. 81 5. y 9 6. x 15 7. 2187 8. 256 9. 16 10. 4096 11. x 6 12. y 8 13. 18x 8 y 7 14. 72a 10 b 7 Exponent Properties Involving Products-Quiz C 1. x 7 2. ( 3) 3 3. 343 4. 64 5. y 11 6. x 12 7. 2187 8. 512 9. 81 10. 4096 11. x 13 12. y 16 13. 18x 6 y 7 14. 36a 6 b 20 Exponent Properties Involving Quotients-Quiz A 1. x 8 2. a 4 3. xy 3 4. 1 x 4 1 5. y 2 115 www.ck12.org

6. 27 7. 1 16 8. 256 15625 9. x 8 10. x 4 11. 2xy 2 12. y 4 9x 6 13. 64 a 3 b 13 Exponent Properties Involving Quotients-Quiz B 1. x 5 2. a 2 3. x 2 y 4. 1 x 6 5. 1 y 3 6. 8 7. 1 36 8. 16 81 9. x 7 10. x 12 11. 3x 2 y 4 12. y 2 16x 8 13. 6 ab 6 Exponent Properties Involving Quotients-Quiz C 1. x 2. a 5 3. x 6 y 4. 1 x 5 5. 1 y 10 6. 32 7. 1 8 8. 1 9. x 12 10. x 10 www.ck12.org 116

11. 4x 3 y 3 12. y 4 49x 8 13. 49 ab 6 Zero, Negative, and Fractional Exponents-Quiz A 1. x 4 2. x 4 y 3 3. 5 x 6 4. 6y5 x 2 5. 3a 3 b 3 6. y 5 7. a 2 b 14 8. y 5 x 8 9. a 7/12 10. x 4/9 11. 1 12. 9 16 13. 28 14. 81 16 Zero, Negative, and Fractional Exponents-Quiz B 1. x 7 2. x 5 y 2 3. 3 x 9 4. 5y4 x 3 5. 4a 2 b 4 6. 3x 1 y 7 7. a 2 b 12 8. y 7 x 10 9. a 5/18 10. x 2/7 11. 1 12. 9 64 13. 34 14. 729 64 or 11 25 64 117 www.ck12.org

Zero, Negative, and Fractional Exponents-Quiz C 1. x 14 2. x 7 y 5 3. 2 x 4 4. 7y3 x 5 5. 3a 3 b 6. y 9 7. a 2 b 20 8. y 9 x 12 9. a 5/16 10. x 1/7 11. 1 12. 25 49 13. 26 14. 225 256 Scientific Notation-Quiz A 1. 6.2 10 1 2. 7.89521 10 8 3. 7 10 6 4. 4.2 10 4 5. 6.09 10 8 6. 5 10 2 7. 8.06 10 8 8. 1.276 10 7 9. 5.37 10 4 10. 7 10 8 11. 3.8 10 2 Scientific Notation-Quiz B 1. 4.9 10 1 2. 6.75481 10 8 3. 4 10 6 4. 7.9 10 4 5. 8.01 10 8 www.ck12.org 118

6. 2 10 2 7. 1.533 10 8 8. 2.108 10 9 9. 7.76 10 6 10. 9.5 10 7 11. 1.52 10 2 Scientific Notation-Quiz C 1. 8.4 10 1 2. 4.21481 10 8 3. 1.1 10 7 4. 5.9 10 4 5. 9.02 10 8 6. 8 10 2 7. 1.239 10 7 8. 21.12 10 9 9. 6.79 10 4 10. 3.6 10 10 11. 5.32 10 1 Exponential Growth Function-Quiz A 1. x y 2 1/9 1 1/3 0 1 1 3 2 9 119 www.ck12.org

2. x y 2 1/27 1 1/9 0 1/3 1 1 2 3 3. x y 2 1 1 2 0 4 1 8 2 16 www.ck12.org 120

4. $1593.85 Exponential Growth Function-Quiz B 1. x y 2 1/25 1 1/5 0 1 1 5 2 25 2. 121 www.ck12.org

x y 2 1/125 1 1/25 0 1/5 1 1 2 5 3. x y 2 3/4 1 3/2 0 3 1 6 2 12 www.ck12.org 122

4. $3345.56 Exponential Growth Function-Quiz C 1. x y 2 1/16 1 1/8 0 1 1 4 2 16 2. x y 2 1/64 1 1/16 0 1/4 1 1 2 4 123 www.ck12.org

3. x y 2 1/18 1 2/3 0 2 1 6 2 18 4. $3785.60 Exponential Decay Function-Quiz A 1. www.ck12.org 124

x y 2 9 1 3 0 1 1 1/3 2 1/9 2. x y 2 500 1 100 0 20 1 4 2 4/5 125 www.ck12.org

3. 320 mg 4. $9499.17 Exponential Decay Function-Quiz B 1. x y -2 16-1 4 0 11 1 1 42 1 16 2. x y -2 216-1 36 0 6 1 1 2 1 6 www.ck12.org 126

3. 307.2 mg 4. $19, 190.25 Exponential Decay Function-Quiz C 1. x y -2 25-1 5 0 1 1 1 52 1 25 2. 127 www.ck12.org

x y -2 625-1 125 0 25 1 5 2 1 3. 128 mg 4. $16, 355.33 Geometric Sequences and Exponential Functions -Quiz A 1. 9, 81 2. 8 3. 24, 2 2 3 7 4. 12, 7 192 5. 243 6. 2187 7. 20 1 4 8. 45 9 16 9. 3 64 10. 3 1024 11. 1 1 2 feet Geometric Sequences and Exponential Functions-Quiz B 1. 6, 24 www.ck12.org 128

2. 64 3. 2, 2 25 4. 5 32, 5 8 5. 6250 6. 156, 250 7. 10 1 8 8. 22 25 32 9. 39 1 16 10. 61 9 256 11. 2 1 4 feet Geometric Sequences and Exponential Functions-Quiz C 1. 4, 16 2. 27 3. 2, 18 4. 1 9, 1 5. 6144 6. 98, 304 7. 1 1 4 8. 5 16 9. 40 1 2 10. 91 1 8 11. 1 1 4 feet Problem Solving Strategies -Quiz A 1. $3893.29 2. 357 children 3. 4 teams 4. $80, 911.15 5. $4502.04 Problem Solving Strategies -Quiz B 1. $4808.21 2. 274 children 3. 2 teams 4. $24, 157.65 129 www.ck12.org

5. $5520.40 Problem Solving Strategies -Quiz C 1. $2573.69 2. 255 children 3. 4 teams 4. $17, 569.20 5. $2437.99 Test-A 1. x 6 2. (7) 8 3. 64 4. x 13 5. y 14 6. 729 7. 15, 625 8. x 45 9. 6x 5 y 7 10. 12a 8 b 15 11. x 8 12. x 2 y 13. 1 125 14. 3x 2 15. x 9 16. x 3 y 6 17. 3y x 2 18. 5y9 8x 19. x 5/6 20. x 1/9 21. 25 22. 1 23. 5.8248 10 7 24. 4.8796 10 4 25. 2.944 10 6 26. 3.27 10 3 www.ck12.org 130

27. 28. 1 8 29. $15, 600.80 30. $4051.69 Test B 1. D 2. D 3. C 4. A 5. B 6. C 7. C 8. B 9. C 10. B 11. D 12. D 13. D 14. C 15. C 16. B 17. B 18. B 19. a. 131 www.ck12.org

x y 1 $20,400 2 $17,340 3 $14,739 4 $12,528 5 $10,649 b. $4754.99 1.9 Chapter 9 Addition and Subtraction of Polynomials-Quiz A 1. coef: 1, 4, 2, 6 degree: 6, 3, 2, 1, 0 degree of poly: 6 2. coef: 1, 4, 7 degree: 5, 5, 1, 0 degree of poly: 5 3. 4x 3 + 2x + 8 4. b 2 3b + 5 5. 2x 2 + 8x + 4 6. 4ab 3 + a 2 b 7. 3x 3 2x 2 11x + 14 8. 2x 2 + 3xy + 4y 2 + y 3 9. x 3 + 7x 2 x 21 10. 9a 2 7ab 16b 2 Addition and Subtraction of Polynomials-Quiz B 1. coef: 1, 3, 4, 7 degree: 6, 3, 2, 1, 0 degree of poly: 6 2. coef: 2, 2, 8 degree: 5, 5, 1, 0 degree of poly: 5 www.ck12.org 132

3. 3x 3 + 4x + 7 4. b 2 2b + 7 5. 2x 2 + 10x + 4 6. 4ab 3 + a 2 b 7. 3x 3 + x 2 10x + 17 8. 2x 2 + 4xy + 5y 2 + y 3 9. x 3 + 8x 2 3x 18 10. 10a 2 8ab 16b 2 Addition and Subtraction of Polynomials-Quiz C 1. coef: 2, 1, 4, 7 degree: 6, 3, 2, 1, 0 degree of poly: 6 2. coef: 3, 2, 5 degree: 5, 5, 1, 0 degree of poly: 5 3. 2x 3 + 6x + 4 4. b 2 3b + 8 5. 3x 2 + 11x + 5 6. 4ab 3 + a 2 b 7. 3x 3 2x 2 11x + 18 8. 2x 2 + 3xy + 5y 2 + y 3 9. x 3 + 9x 2 4x 17 10. 11a 2 8ab 16b 2 Multiplication of Polynomials-Quiz A 1. 12y 9 2. 8a 4 b 4 c 3. 4x 2 + 8x + 12 4. 18y 2 + 6y 2 12y 5. 12x 6 + 9x 5 24x 4 + 9x 2 + 21x 2 6. 3x 2 + 13x + 4 7. 16x 2 1 8. 8x 3 + 10x 2 19x + 4 9. 4x 6 + 13x 4 13x 2 + 4 10. 8w 3 + 26w 2 + 3w 9 133 www.ck12.org

Multiplication of Polynomials-Quiz B 1. 56y 7 2. 10a 4 b 4 c 3. 5x 2 + 10x + 15 4. 21y 2 + 7y 2 14y 5. 16x 6 + 12x 5 32x 4 + 12x 2 + 28x 2 6. 3x 2 + 16x + 5 7. 25x 2 1 8. 10x 3 + 13x 2 23x + 4 9. 4x 6 9x 4 10x 2 + 3 10. 8w 3 + 34w 2 + 5w 12 Multiplication of Polynomials-Quiz C 1. 54y 7 2. 12a 4 b 4 c 3. 6x 2 + 12x + 18 4. 24y 2 + 8y 2 16y 5. 20x 6 + 15x 5 40x 4 + 15x 2 + 35x 2 6. 4x 2 + 17x + 4 7. 36x 2 1 8. 12x 3 + 16x 2 27x + 4 9. 4x 6 17x 4 16x 2 + 5 10. 8w 3 + 42w 2 + 7w 15 Special Products of Polynomials-Quiz A 1. x 2 + 10x + 25 2. 9x 2 6x + 1 3. x 4 + 6x 2 + 9 4. 16x 2 24xy + 9y 2 5. x 2 4 6. 36x 2 4 7. 9x 4 4 8. 25x 2 36y 2 www.ck12.org 134

Special Products of Polynomials-Quiz B 1. x 2 + 12x + 36 2. 16x 2 8x + 1 3. x 4 + 8x 2 + 16 4. 25x 2 30xy + 9y 2 5. x 2 9 6. 25x 2 16 7. 9x 4 16 8. 36x 2 64y 2 Special Products of Polynomials-Quiz C 1. x 2 + 14x + 49 2. 25x 2 10x + 1 3. x 4 + 20x 2 + 100 4. 49x 2 42xy + 9y 2 5. x 2 144 6. 49x 2 1 7. 16x 4 9 8. 49x 2 81y 2 Polynomial Equations in Factored Form-Quiz A 1. x = 3 2. x = 5/4 3. x = 8, 2/3 4. x = 0, 3/5 5. 2(x + 3) 6. 3(2a + 3b + 4) 7. a(6a 2 2a + 6) 8. 6xy(x 2 2xy + y 2 ) 9. x = 0, 5 10. x = 0, 7/3 Polynomial Equations in Factored Form-Quiz B 1. x = 4 2. x = 1/5 135 www.ck12.org

3. x = 7, 5/3 4. x = 0, 1/6 5. 3(x + 4) 6. 4(3a + 2b + 5) 7. a(7a 2 3a + 7) 8. 5xy(x 2 2xy + y 2 ) 9. x = 0, 8 10. x = 0, 9/4 Polynomial Equations in Factored Form-Quiz C 1. x = 12 2. x = 3/8 3. x = 7, 5/3 4. x = 0, 7/6 5. 4(x + 5) 6. 2(3a + 5b + 6) 7. a(8a 2 4a + 9) 8. 7xy(x 2 2xy + y 2 ) 9. x = 0, 8 10. x = 0, 11/3 Factoring Quadratic Expressions-Quiz A 1. (x + 3)(x + 9) 2. (x + 5)(x + 6) 3. (x + 8)(x + 8) 4. (x 3)(x 5) 5. (x 12)(x 1) 6. (x 4)(x + 7) 7. (x 12)(x + 3) 8. (x + 9)(x + 10) 9. (x 8)(x + 3) 10. (x 4)(x + 5) Factoring Quadratic Expressions-Quiz B 1. (x + 4)(x + 9) 2. (x + 7)(x + 6) www.ck12.org 136

3. (x + 9)(x + 9) 4. (x 4)(x 6) 5. (x 13)(x 1) 6. (x 5)(x + 7) 7. (x 11)(x + 2) 8. (x + 9)(x + 8) 9. (x 9)(x + 5) 10. (x 3)(x + 6) Factoring Quadratic Expressions-Quiz C 1. (x + 4)(x + 8) 2. (x + 8)(x + 9) 3. (x + 10)(x + 10) 4. (x 6)(x 5) 5. (x 14)(x 1) 6. (x 5)(x + 8) 7. (x 12)(x + 2) 8. (x + 9)(x + 10) 9. (x 9)(x + 6) 10. (x 4)(x + 6) Factoring Special Products-Quiz A 1. (x + 11)(x 11) 2. (4x 7)(4x + 7) 3. (4x 5y)(4x + 5y) 4. (x + 5) 2 5. (3x + 4) 2 6. (2x 3) 2 7. 1, 9 8. 5, 3 9. ±12 10. 1/5 Factoring Special Products-Quiz B 1. (x + 12)(x 12) 137 www.ck12.org

2. (7x 9)(7x + 9) 3. (5x 6y)(5x + 6y) 4. (x 6) 2 5. (5x + 1) 2 6. (7x 3) 2 7. 2, 3 8. 8, 4 9. ±15 10. 5/6 Factoring Special Products-Quiz C 1. (x + 15)(x 15) 2. (9x 10)(9x + 10) 3. (6x 7y)(6x + 7y) 4. (x 7) 2 5. (6x + 5) 2 6. (8x 1) 2 7. 3, 7 8. 9, 5 9. ±11 10. 4/3 Factoring Polynomials Completely-Quiz A 1. 5(x + 2)(x + 3) 2. 3(x 2 + 11)(x 2 11) 3. (3x + 4)(2x 1) 4. (7x 1)(x 1) 5. (5x + 2)(2x 3) 6. (3x 1)(4x + 3) 7. (2x 1)(5x + 6) 8. (5x + 2)(6x + 7) 9. 12 and 14 or 12 and 14 10. 12 feet; 8 feet www.ck12.org 138

Factoring Polynomials Completely-Quiz B 1. 7(x + 2)(x + 3) 2. 5(x + 2)(x 2)(x 2 + 4) 3. (3x + 4)(2x 3) 4. (8x 1)(x 1) 5. (5x + 2)(2x 5) 6. (3x 1)(4x 1) 7. (7x 1)(3x + 4) 8. (5x 2)(3x 5) 9. 16 and 18 or 16 and 18 10. 13 feet; 17 feet Factoring Polynomials Completely-Quiz C 1. 8(x + 2)(x + 3) 2. 7(x + 2)(x 2)(x 2 + 4) 3. (3x + 4)(2x 5) 4. (9x 1)(x 1) 5. (5x + 2)(2x 7) 6. (3x 1)(4x + 5) 7. (2x + 3)(3x + 5) 8. (5x + 1)(5x 4) 9. 18 and 20 or 18 and 20 10. 14 feet; 18 feet Test A 1. 5 2. 3x 2 + 9x + 3 3. a 2 b 2 + 2ab 3 + 4a 2 b 4. 3x 3 + 4x 2 15x + 9 5. 15x 2 4x + 9 6. x 2 + 8x 2 4x 15 7. w 2 + w + 17 8. 10y 7 9. 4x 2 + 12x + 8 10. 9y 3 + 3y 2 6y 139 www.ck12.org

11. 3x 2 + 16x + 5 12. 3x 3 + 8x 2 5x 6 13. x 2 4 14. x 2 + 8x + 16 15. 6x 2 + x 24 16. (3x 2)(3x + 2) 17. (x 4)(x + 7) 18. (x 6) 2 19. 3x(x + 2)(x 1) 20. (y 4)(y 7) 21. (x 1)(x + 3) 22. 1, 2 23. 1/2, 1 24. ±11 25. 4/3 26. 12x + 20 27. 8x 2 + 34x + 21 28. 4x 2 + 34x + 21 29. 15 and 21 feet 30. 18 and 24 feet Test B 1. C 2. B 3. B 4. D 5. A 6. B 7. C 8. A 9. B 10. D 11. A 12. A 13. D 14. C www.ck12.org 140

15. B 16. C 17. a. l(l 4) = 21 b. 7 yards c. 20 yards d. $375 1.10 Chapter 10 Graphs of Quadratic Functions-Quiz A 1. 2. 141 www.ck12.org

3. 4. B 5. 20 feet; 5 feet www.ck12.org 142

Graphs of Quadratic Functions-Quiz B 1. 2. 143 www.ck12.org

3. 4. B 5. 50 feet; a little over 12 feet www.ck12.org 144

Graphs of Quadratic Functions-Quiz C 1. 2. 145 www.ck12.org

3. 4. B 5. 100 feet; 25 feet Quadratic Equations by Graphing-Quiz A 1. 4, 3 www.ck12.org 146

2. 147 www.ck12.org

3. 4. 5. 80 feet; 8 seconds Quadratic Equations by Graphing-Quiz B 1. 4, 2 www.ck12.org 148

2. 149 www.ck12.org

3. 4. 5. 180 feet; 12 seconds Quadratic Equations by Graphing-Quiz C 1. 1, 7 www.ck12.org 150

2. 151 www.ck12.org

3. 4. 5. 125 feet; 10 seconds Quadratic Equations by Square Roots-Quiz A 1. x = ±3 2. x = ± 10 3 3. x = 2 ± 3 4. x = 1, 9 5. no real solutions 6. x = 1, 5 www.ck12.org 152

7. x ±2.83 8. x ±2.33 9. about 6.1 seconds 10. about 127 feet Quadratic Equations by Square Roots-Quiz B 1. x = ±12 2. x = ± 9 4 3. x = 3 ± 5 4. x = 1, 11 5. no real solutions 6. x = 2, 6 7. x ±3.32 8. x ±2.67 9. 5 seconds 10. about 159 feet Quadratic Equations by Square Roots-Quiz C 1. x = ±25 2. x = ± 6 5 3. x = 4 ± 7 4. x = 1, 13 5. no real solutions 6. x = 3, 7 7. x ±3.61 8. x ±3.67 9. about 6.6 seconds 10. about 188 feet Quadratic Equations by Completing the Square-Quiz A 1. 9 2. 36 3. 5(x + 3) 3 4. 1, 2 5. 1.3, 2.3 153 www.ck12.org

6. vertex: ( 2, 4); x-intercepts: (0, 0) and ( 4, 0); y-intercepts: (0, 0) Quadratic Equations by Completing the Square-Quiz B 1. 16 2. 64 3. 6(x + 3) 3 4. 2, 5 5. 0.54, 5.54 6. vertex: (6, 1); x-intercepts: (5, 0) and (7, 0); y-intercept: (0, 35) www.ck12.org 154

Quadratic Equations by Completing the Square-Quiz C 1. 25 2. 81 3. 7(x + 4) 3 4. 3, 8 5. 6.58, 2.58 6. vertex: ( 3, 6); x-intercepts: none; y-intercept: (0, 15) 155 www.ck12.org

Quadratic Equations by the Quadratic Formula-Quiz A 1. 3, 7 2. 2, 4 3 3. 0.4, 3.9 4. no solution 5. 15 and 17 or 15 and 17 6. 15 by 17 Quadratic Equations by the Quadratic Formula-Quiz B 1. 2, 8 2. 3, 7 4 3. 0.1, 1.5 4. no solution 5. 19 and 21 or 19 and 21 6. 21 by 25 Quadratic Equations by the Quadratic Formula-Quiz C 1. 3, 9 2. 3 2, 2 3. 0.5, 0.6 4. no solution 5. 13 and 15 or 13 and 15 6. 27 by 29 The Discriminant-Quiz A 1. 0; one real solution 2. 8; one non-real solution 3. 9; two real solutions 4. 0; one real solution 5. 133; 0.5 and 0.6 The Discriminant-Quiz B 1. 0; one real solution 2. 39; one non-real solution 3. 13; two real solutions www.ck12.org 156

4. 0; one real solution 5. 73; 0.4 and 3.9 The Discriminant-Quiz C 1. 0; one real solution 2. 15; one non-real solution 3. 88; two real solutions 4. 0; one real solution 5. 69; 0.1 and 1.5 Linear, Exponential and Quadratic Models-Quiz A 1. linear; y = 2x 1 2. quadratic: y = x 2 + 3x 3. exponential: y = 200 ( 1 2 4. a. ) x b. exponential curve c. 3608.61(1.07) x d. around $9956 Linear, Exponential and Quadratic Models-Quiz B 1. linear; y = 3x + 2 2. quadratic: y = x 2 2x 3. exponential: y = 200 ( 1 4 4. a. ) x b. exponential curve 157 www.ck12.org

c. 3500(1.059) x d. around $8270 Linear, Exponential and Quadratic Models-Quiz C 1. linear; y = 5x 3 2. quadratic: y = x 2 + 4x 3. exponential: y = 300 ( 1 3 4. a. ) x b. exponential curve c. 4500(1.029) x d. around $6909 Problem Solving Strategies: Choose a Function Model-Quiz A 1. a. y = 1.189x 0.11 b. 22.98 c. 2.94; it has touched the floor 2. a. y = 64.78(0.996) x b. 63.75 degrees c. 39.89 degrees Problem Solving Strategies: Choose a Function Model-Quiz B 1. a. y = 3.24x + 32.7 b. 1.898 c. 0.99825 2. a. y = 67.16(0.996) x b. 61.49 degrees c. 38.47 degrees Problem Solving Strategies: Choose a Function Model-Quiz C 1. a. y = 0.46x 2 + 1.7x + 0.332 www.ck12.org 158

b. 8.32 c. 17.82 2. a. y = 51.7(0.5878) x b. 30.37 c. 1 Test A 1. 2. 3. x = ± 12 7 159 www.ck12.org

4. x = 5 ± 7 5. 64 6. 49 7. x = 4 ± 23 8. x = 0.44, 4.56 9. Vertex: (2, 3); x intercepts: none; y intercept: (0, 7) 10. x = 2, 4 11. x = 4± 7 3 12. no real solutions 13. x = 0.5, 6 14. 2 real solutions 15. one real solution 16. quadratic; y = 2x 2 + 2 17. linear; y = 3x + 4 18. B 19. 7.5 seconds 20. 33 and 35 Test B 1. C 2. D 3. B 4. B 5. A www.ck12.org 160

6. C 7. A 8. A 9. C 10. D 11. A 12. C 13. B 14. B 1.11 Chapter 11 Graph of Square Root Functions-Quiz A 1. x y 0 1 1 0 2 0.4 3 0.7 4 1 5 2.1 161 www.ck12.org

2. 3. 4. www.ck12.org 162

5. Graph of Square Root Function-Quiz B 1. x y 0 1 1 2 2 2.4 3 2.7 4 3 5 3.2 163 www.ck12.org

2. 3. 4. www.ck12.org 164

5. Graph of Square Root Function-Quiz C 1. x y 0 0 1 2 2 2.8 3 3.5 4 4 5 4.5 165 www.ck12.org

2. 3. 4. www.ck12.org 166

5. Radical Expressions-Quiz A 1. 13 2. 4 3. 3 4. 7 1/2 5. (5ab) 1/3 6. 2 5 7. 4 2 3 5 8. 3 3 2 9. 2xy 3 7xy 10. 3 2 + 3 11. 3 3 12. 3 6 + 2 3 13. 33 + 11 3 14. V 3.19 cm 3 Radical Expressions-Quiz B 1. 18 2. 3 3. 2 4. 11 1/2 5. (9xy) 1/5 167 www.ck12.org

6. 4 2 7. 2 5 8. 4 4 2 9. 3x 2 y 4 7xy 10. 4 2 11. 7 12. 20 2 13. 3 14 x + 8x 14. V 3.19 cm 3 Radical Expressions-Quiz C 1. 19 2. 5 3. 3 4. 3 1/2 5. (ab) 1/4 6. 3 5 7. 5 5 4 2 8. 2 3 5 9. 5x 2 y 2y 10. 9 6 11. 12 2 12. 21 5 + 4 3 13. 58 15 2 14. V 3.49 cm 3 Radical Equations-Quiz A 1. 4 2. 3 3. 11 4. 11 5. 6 6. 4 7. 4 8. no solution www.ck12.org 168

9. V 3052 cm 3 Radical Equations-Quiz B 1. 9 2. 1 3. 2.6 4. 60 5. 0 6. 8 7. 3 8. no solution 9. V 2156 cm 3 Radical Equations-Quiz C 1. 14 2. 4 3. 2.3 4. 30 5. 1/2 6. 20 7. 1/4 8. no solution 9. V 1788 cm 3 The Pythagorean Theorem and Its Converse-Quiz A 1. yes 2. no 3. no 4. yes 5. 10 6. 30 7. x = 75 8. x = 5 7 9. 9 inches, 12 inches, 15 inches 10. 21 inches 169 www.ck12.org

The Pythagorean Theorem and Its Converse-Quiz B 1. yes 2. no 3. no 4. yes 5. 26 6. 17 7. x = 4 2 8. x = 2 33 9. x = 2 10. 45 inches The Pythagorean Theorem and Its Converse-Quiz C 1. yes 2. no 3. no 4. yes 5. 13 6. 25 7. x = 2 5 8. x = 8 2 9. 9 inches, 12 inches, 15 inches 10. 127 feet Distance and Midpoint Formula-Quiz A 1. 8.1 2. 6.7 3. 13 4. 5 2 5. 3 6. (0, 6) 7. (1, 6) 8. ( 2.5, 3) 9. (0, 2) 10. approximately 12 miles www.ck12.org 170

Distance and Midpoint Formula-Quiz B 1. 8.2 2. 2.2 3. 5 4. 2 10 5. 8 6. (5, 1) 7. (0, 0) 8. ( 2.5, 1) 9. (12, 2) 10. 1 block east and 1 block south of the library Distance and Midpoint Formula-Quiz C 1. 7.8 2. 9.1 3. 15 4. 3 5 5. 1 6. ( 3, 3) 7. ( 4, 4) 8. (8.5, 9) 9. (12, 10) 10. 1 block north and 1 block east of the library Measures of Central Tendency and Dispersion-Quiz A 1. 15 2. 4 3. 80 4. 85 5. 90 6. 6 7. 5.5 8. 5 9. 15 10. 8.55 F 171 www.ck12.org

Measures of Central Tendency and Dispersion-Quiz B 1. 87 2. 30.8 3. 84.2 4. 89 5. none 6. 132 lbs 7. 125 lbs 8. 125, 150 9. 60 lbs 10. 3.87 documents Measures of Central Tendency and Dispersion-Quiz C 1. 50 2. 62 3. 25.8 4. 25.5 5. 23, 24, 26 6. 5 7. 5 8. 2, 8 9. 6 10. 15.35 lbs Stem-and-Leaf Plots and Histogram-Quiz A 1. Stem Table 1.1: Leaves 6 4 7 6 9 9 8 0 0 1 6 9 1 6 7 9 2. 80.5 3. 79 and 80 www.ck12.org 172

4. Note bars should be touching to represent histogram. Stem-and-Leaf Plots and Histogram-Quiz B 1. Stem Table 1.2: Leaves 4 1 4 7 5 0 7 7 9 6 1 8 7 1 1 6 2. 58 3. 57 and 71 4. Note bars should be touching to represent histogram Stem-and-Leaf Plots and Histogram-Quiz C 1. Table 1.3: Stem Leaves 6 7 173 www.ck12.org

Stem Table 1.3: (continued) Leaves 7 2 4 6 8 4 6 6 7 7 9 9 1 6 2. 86 3. 86 and 87 4. Note bars should be touching to represent histogram Box-and-Whisker Plots-Quiz A 1. 35 2. 104 3. 69 4. 60 5. 53.5 6. 78 7. 24.5 8. Box-and-Whisker Plots-Quiz B 1. 33 2. 101 3. 68 4. 60 5. 53.5 www.ck12.org 174

6. 78 7. 24.5 8. Box-and-Whisker Plots-Quiz C 1. 30 2. 109 3. 79 4. 55 5. 41.5 6. 76 7. 34.5 8. Test-A 1. 2. 21 3. 6 4. 4 5. 4 3 175 www.ck12.org

6. 3 3 7 7. 2 5 4 8. 4x 3 y 5 10y 9. 3 2 11 10. 1 + 5 11. r 3.8 cm 3 12. 4, 4 13. 10 14. yes 15. no 16. Approximately 29 feet 17. 10 18. 5 or 2.24 19. 77 20. none 21. 75 22. 7.4 23. Stem Table 1.4: Leaves 0 6 7 8 9 1 1 2 4 5 6 8 8 9 2 0 4 7 24. Test B 1. D 2. C 3. A 4. B 5. C 6. A 7. D www.ck12.org 176

8. C 9. B 10. B 11. C 12. B 13. C 14. B 15. D 16. B 17. C 18. Answers will vary. Sample answers. a. A stem-and-leaf plot displays data by dividing each number into two parts. The stem represents the first part of the number and the leave represents the last digit of the number. b. A histogram is like a bar graph with no spaces between the bars. The bars show the frequency of the data. c. Box-and-whisker plots show how data is distributed by using the greatest and least values, the median, and the upper and lower quartiles. 1.12 Chapter 12 Inverse Variation Models Quiz A 1. 2. 4 3. 20 4. 3.5 hours 177 www.ck12.org

5. 286 Hz Inverse Variation Models Quiz B 1. 2. 3 3. 2 4. 2.92 hours 5. 390 Hz Inverse Variation Models Quiz C 1. www.ck12.org 178

2. 24 3. 9 4. 2.3 hours 5. 195 Hz Graphs of Rational Functions Quiz A 1. 2. 3. x = 2; y = 0 4. x = 1/5; y = 4/5 179 www.ck12.org

5. Graphs of Rational Functions Quiz B 1. www.ck12.org 180

2. 3. x = 3; y = 0 4. x = 2/5; y = 3/5 5. 181 www.ck12.org

Graphs of Rational Functions Quiz C 1. 2. 3. x = 4; y = 0 4. x = 1/6; y = 2/3 www.ck12.org 182

5. Division of Polynomials Quiz A 1. 3x 2 + 4x 7 2. x+2 x 3. x 8 4. x 7 12 x 3 5. horizontal at y = 3 Division of Polynomials Quiz B 1. 5x 2 + 3x + 9 2. x+2 x 3. x + 3 4. x + 3 + 2 2x 1 5. horizontal at y = 4 Division of Polynomials Quiz C 1. 2x 2 4x 8 2. x+2 x 3. x + 9 4. 2x 1 + 1 x+6 5. horizontal at y = 6 183 www.ck12.org

Rational Expressions Quiz A 1. x + 8; x 2 x 2 2. x+3 ; x 3, 5 3. x 4 x 5 4. x 2 2(x+4) Rational Expressions Quiz B 1. x 4; x 4 x 6 2. x+7 ; x 7, 1 3. x 2 x+3 4. 2x 3 5x+2 Rational Expressions Quiz C 1. x + 4; x 4 2. 3. x+3 x+6 ; x 6, 2 x+6 x+1 4. 2x+1 x 2 Multiplication and Division of Rational Expressions Quiz A 1. 2bc 3 2. 7(x+3) x(x+4) 3. x 4 2x+8 4. (x+3)(x+5) (x 2)(x+4) 5. 3 2x 6. 7. 3(x+4) 4(2x 9) x+4 x+3 8. (x+3)(x+3) x 2 Multiplication and Division of Rational Expressions Quiz B 1. 9yw 2 50x 2 z 3x 2. x 2 x+1 3. (x 1) 2 www.ck12.org 184