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

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

2 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, 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 ( 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 Printed: January 12, 2011

3 i

4 Contents 1 Algebra I TE - Answers to Asse ssment Chapter Chapter Chapter Chapter Chapter Chapter Chapter Chapter Chapter Chapter Chapter Chapter ii

5 Chapter 1 Algebra I TE - Answers to Asse ssment 1.1 Chapter 1 Variable Expressions-Quiz A 1. P = w + w A = 8w in a. 12 ft b. 44 ft Variable Expressions-Quiz B 1. P = l + l A = 12l in or

6 a. 4 ft b. 20 ft Variable Expressions-Quiz C 1. P = l + l A = 9l in a. 36 ft b. 4 ft Order of Operations-Quiz A Order of Operations-Quiz B

7 Order of Operations-Quiz C Patterns and Equations-Quiz A 1. $6, $1, y = 2x + 10; y = 7x 5. y = 50 4n Patterns and Equations-Quiz B 1. $9, $1, y = 3x + 5; y = 6x 5. y = 75 6n Patterns and Equations-Quiz C 1. $18, $1,

8 3. y = 5x + 10; 1, y = 8x 5. y = 100 8n Equations and Inequalities-Quiz A 1. x + 15 = x + 6 = $ x 4. $ $9 6. x c > yes 9. no 10. no 11. yes bagels; 2 muffins Equations and Inequalities-Quiz B 1. x 12 = x + 8 = $ x 4. $ $8 6. x c < no 9. no 10. yes 11. yes bagels; 4 muffins Equations and Inequalities-Quiz C 1. x + 8 = x 7 = $ x 4

9 4. $ $9 6. x c > yes 9. no 10. yes 11. no 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, y = 50x 9. y = 2.5x 10. f (x) = x 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,

10 y = 55x 9. y = 3x 10. f (x) = x 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, y = 60x 9. y = 4x 10. f (x) = x Functions as Graphs-Quiz A 1-4 C01 001A 6

11 5. C01 002a 6. C01 003a 7

12 7. no 8. yes 9. no shirts C01_004a 8

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

14 7. no 8. yes 9. no shirts C01_008a 10

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

16 7. no 8. yes 9. no shirts C01_012a 12

17 Problem Solving Plan-Quiz A meters; meters 2. Melanie: 24 shirts; Hiro: 12 shirts 3. $11, $ rides 6. $ Leon made $2.70; $0.60 more than Kara 8. $8 Problem Solving Plan-Quiz B meters; 1025 meters 2. Melanie: 36 shirts; Hiro: 18 shirts 3. $14, $ rides 6. $ miles 8. $12 Problem Solving Plan-Quiz C meters; 1250 meters 2. Melanie: 26 shirts; Hiro: 13 shirts 3. $11, $ rides 6. $ th floor 8. $17 Problem Solving Strategies-Quiz A turkeys; 15 lambs ways adult square feet 13

18 Problem Solving Strategies-Quiz B turkeys; 25 lambs ways adult square feet Problem Solving Strategies-Quiz C turkeys; 20 lambs and adult square feet Test-A y = 2x + 5; x + 21 = x yes 9. no 10. no 11. yes 12. { 1, 0, 3} y = 40x 14

19 not a function 17. $ $ bicycles and 28 tricycles 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

20 16. A 17. D 1.2 Chapter 2 Integers and Rational Numbers-Quiz A 1. > 2. > 3. < , 2 5, , 3 8, z + 5 Integers and Rational Numbers-Quiz B 1. < 2. > 3. < , 2 7, , 2 5, y

21 Integers and Rational Numbers-Quiz C 1. > 2. > 3. < , 5 9, , 3 8, s 11. n 2 m Addition of Rational Numbers -Quiz A additive identity 8. associative 9. commutative Addition of Rational Numbers -Quiz B associative 17

22 8. commutative 9. additive identity 10. They are the same. Addition of Rational Numbers -Quiz C commutative 8. associative 9. additive identity Subtraction of Rational Numbers-Quiz A ; 7.5, 10; 12.5; 15; miles Subtraction of Rational Numbers-Quiz B ; 7; 10; 14; 17.5;

23 9. 14 hours Subtraction of Rational Numbers-Quiz C ; 6; 8; pounds Multiplication of Rational Numbers-Quiz A (x 4) commutative 11. distributive Multiplication of Rational Numbers-Quiz B (x + 7)

24 10. distributive 11. multiplicative identity Multiplication of Rational Numbers-Quiz C (b + 4) commutative 11. multiplicative identity The Distributive Property-Quiz A x x y x z 3 5 z objects The Distributive Property-Quiz B x x

25 6. 6y x z 5 7 z whistles The Distributive Property-Quiz C y x n x z m bags Division of Rational Numbers-Quiz A xy 9. 2xy mph Division of Rational Numbers-Quiz B

26 xy 9. xy pages Division of Rational Numbers-Quiz C xy 9. xy mph Square Root and Real Numbers-Quiz A rational 10. irrational 11. rational 12. irrational or 1.25 Square Root and Real Numbers-Quiz B

27 rational 10. rational 11. rational 12. irrational or 2.75 Square Root and Real Numbers-Quiz C irrational 10. rational 11. rational 12. rational or 2. 6 Problem Solving Strategies: Guess and Check, Work Backwards- Quiz A 1. 16; $ years old minutes 5. 2 quarters, 3 dimes, 1 nickel 23

28 Problem Solving Strategies: Guess and Check, Work Backwards- Quiz B inches; 180 inches cards and miles 5. 2 quarters, 3 dimes, 3 nickels Problem Solving Strategies: Guess and Check, Work Backwards- Quiz C inches; 37 inches 2. 2 people 3. 57; 59; copies 5. 1 quarter, 2 dimes, 1 nickel, 3 pennies Test-A 1. > 2. < 3. >

29 mph years old 30. $ 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 = y =

30 3. p = 6 4. x = p = y = x = z = $ feet One-Step Equations-Quiz B 1. x = y = p = x = p = x = 5 7. x = z = $ $80 One-Step Equations-Quiz C 1. x = y = p = x = p = x = x = z = $ $90 Two-Step Equations-Quiz A 1. x = 3 2. x =

31 3. x = y = x = x = x = x = bulbs F Two-Step Equations-Quiz B 1. x = x = x = 5 4. y = x = x = z = 8 8. x = packages F Two-Step Equations-Quiz C 1. x = x = 8 3. x = 7 4. y = x = x = z = 3 8. x = spools of thread F Multi-Step Equations-Quiz A 1. x = x = x =

32 4. x = x = x = gallons mph Multi-Step Equations-Quiz B 1. x = x = x = x = x = x = gallons mph Multi-Step Equations-Quiz C 1. x = x = 6 3. x = x = x = x = gallons mph Equations with Variables on Both Sides-Quiz A 1. x = 8 3 or x = 5 3. x = 9 4. x = 1 5. x = x = x = x =

33 9. x = x = x = x = 2 Equations with Variables on Both Sides Quiz B 1. x = 3 2. x = 5 3. x = 5 4. x = x = x = x = x = x = x = x = x = 1 2 Equations with Variables on Both Sides Quiz C 1. x = x = x = x = 6 5. x = x = x = x = x = x = x = x = 1 4 Ratios and Proportions Quiz A

34 mpg 4. x = x = x = x = x = 1 9. x = tickets mg square feet Ratios and Proportions Quiz B mpg 4. x = 9 5. x = x = x = x = x = tickets mg square feet Ratios and Proportions Quiz C mpg 4. x = x = x = x = x = x =

35 tickets mg square feet Scale and Indirect Measurement Quiz A feet miles feet feet miles feet Scale and Indirect Measurement Quiz B feet miles feet /2 feet miles feet Scale and Indirect Measurement Quiz C feet miles feet feet miles feet Percent Problems Quiz A 1. 25% 2. 8% 3. 4% 4. 60% % 6. 80% 31

36 $ $ % decrease Percent Problems Quiz B 1. 37% 2. 2% 3. 70% 4. 80% % 6. 85% % 13. $ % increase Percent Problems Quiz C 1. 82% 2. 6% 3. 10% 4. 40% % 6. 28%

37 % 13. $ $ % increase Problem Solving Strategies: Use a Formula-Quiz A 1. 9 ft by 12 ft ft wide by 28 ft long 3. 2 hrs12 minutes 4. 5 mph 5. $ $6.75 Problem Solving Strategies: Use a Formula-Quiz B ft by 21 ft ft wide by 24 ft long 3. 6 mph mph 5. $ $6.25 Problem Solving Strategies: Use a Formula-Quiz C ft by 21 ft ft wide by 32 ft long 3. 9 mph mph 5. $ $5.75 Test-A 1. x = x =

38 3. x = x = x = x = 6 7. x = x = 2 9. x = x = x = x = x = x = x = x = x = x = % % 21. 1% % packages mph inch feet 31. $ Test B 1. C 2. A 3. C 4. A 5. C 34

39 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

40

41 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

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43 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

44

45 4. Graphs of Linear Equations-Quiz A 1. $

46 about $

47 Graphs of Linear Equations-Quiz B 1. $

48 about $

49 Graphs of Linear Equations-Quiz C 1. $

50 about $

51 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)

52 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)

53 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)

54 6. Slope and Rate of Change-Quiz A 1. m = 2 2. m = /4 4. undefined 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 minutes/mile Slope and Rate of Change-Quiz B 1. m = 3 2. m = /4 4. undefined

55 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 = /7 4. undefined 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

56 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 =

57 5. m = 1; y intercept = 2 6. m is undefined and there is no y intercept b and d are parallel Graphs Slope-Intercept Form-Quiz C 1. m = 2; y intercept = 1 2. m = 3/5; y intercept =

58 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 a and d are parallel 54

59 Direct Variation Models-Quiz A 1. k = 3 2. k = $ pounds inches 55

60 8. 38 cm Direct Variation Models-Quiz B 1. k = 4 2. k = $ pounds 56

61 7. 28 inches cm Direct Variation Models-Quiz C 1. k = 5 2. k =

62 5. $ pounds inches cm Linear Function Graphs-Quiz A 1. f (x) = 3x 2 2. f (x) = 0.4x f (x) = x 2 x 4. f (x) = x w

63 f (x) = x; 500 minutes Linear Function Graphs-Quiz B 1. f (x) = 5x 1 2. f (x) = 0.25x f (x) = x f (x) = x t

64 f (x) = x; 500 minutes 60

65 Linear Function Graphs-Quiz C 1. f (x) = 6x f (x) = 0.8x 1 3. f (x) = x f (x) = x z

66 f (x) = x; 500 minutes Problem Solving Strategies-Quiz A hours 62

67 2. about $580 Problem Solving Strategies-Quiz B 1. almost 20 hours 2. a little over $

68 Problem Solving Strategies-Quiz C 1. about 28 hours 2. about $

69 Test A

70

71 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) undefined 10. a and d 11. k = $ f (x) = x f (x) = x w about $

72 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

73 2. y = 2x y = 3x y = 3 4 x y = 4x 1 6. y = 3x 1 7. y = 2x 1 8. y = 3 4 x y = 5x y = 6x y = 1 2 x y = 2x y = x; $700 Linear Equations in Slope-Intercept Form-Quiz B 1. y = 3x 5 2. y = 3x y = 4x y = 2 3 x y = 3x y = 3x y = 3x y = 2 3 x 1 9. y = 3x y = 3x y = 1 2 x y = 3x y = x; $945 Linear Equations in Slope-Intercept Form-Quiz C 1. y = 6x 1 2. y = 5x y = 5x y = 4 7 x y = 5x 1 6. y = 4x y = 4x

74 8. y = 3 5 x y = 7x y = 4x y = 3 4 x y = 5x y = x; $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 y = 2x

75 $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 y = 2x

76 $1175 Linear Equations in Point-Slope Form-Quiz C 1. y 5 = 4x 2. y + 7 = 2x 3. y 4 = 5 6 (x 1) 72

77 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 y = 2x

78 13. $1035 Linear Equations in Standard Form-Quiz A 1. 3x y = 2 2. x + 4y = x 12y = x + y = 0 5. m = 3/7; b = 3 6. m = 1/4; b = 9/4 7. 3x 4y = x + y = x + 9y = x + 3y = 690; 150 feet Linear Equations in Standard Form-Quiz B 1. 4x y = 1 2. x + 6y = x 12y = x + y = 1 5. m = 4/5; b = 4 6. m = 1/5; b = 12/5 7. 4x 5y = x + y = x + 5y = x + 3y = 510; 120 feet Linear Equations in Standard Form-Quiz C 1. 5x y = 3 2. x + 2y = 3 3. x 10y = x + y = m = 3/4; b = 3 6. m = 1/3; b = 7/3 7. 2x 3y = 6 8. x + y = x + 7y =

79 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 x = 6 8. y = 4x 3 9. y = 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 y = 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 y = 1 3 x 7 7. x = 8 8. y = 7x 5 9. y =

80 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 ; check student scatter plots 3. y = 0.8x 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 ; check student scatter plots 3. y = 0.8x y = x + 15, ; 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 ; check student scatter plots 3. y = 0.8x y = 1690x + 15, ; 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 76

81 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

82 Regression equation: 0.06x : about : about : about 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 = x Plan C: y =

83 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 x 1 4. x > x > 4 6. x 2 Inequalities Using Addition and Subtraction-Quiz B x 2 4. x

84 5. x > 5 6. x 3 Inequalities Using Addition and Subtraction-Quiz C x < 7 4. x > 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

85 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 x

86 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 x 5 4. x 6 5. x 15; The most balloons you can pop are 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 x 2 4. x

87 5. x 15; The most balloons you can pop are 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 t < 14.4 hours Compound Inequalities-Quiz B t < 11.2 hours Compound Inequalities-Quiz C t < 12.8 hours 83

88 Absolute Value Equations-Quiz A x = 2 and 2 8. x = 5 and x = 4 and x =

89 Absolute Value Equations-Quiz B x = 21 and x = 7 and x = 7 and x =

90 Absolute Value Equations-Quiz C x = 46 and x = 2 and x = 3 and x =

91 Absolute Value Inequalities -Quiz A t 5.4 or t 1 Absolute Value Inequalities -Quiz B t 6.2 or t 0.2 Absolute Value Inequalities-Quiz C t 5.8 or t

92 Linear Inequalities in Two Variables -Quiz A

93

94 Linear Inequalities in Two Variables -Quiz B

95

96 5. Linear Inequalities in Two Variables-Quiz C

97

98 5. Test A x > 7 4. x 5 5. x 4 6. x [2, 7) 8. x > 2 9. x > > x <

99 x > 2, x < 2/ Test B 1. A 2. D 95

100 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) 96

101 5. 40 single dip and 70 double dip Linear Systems by Graphing-Quiz B 1. yes 2. no 3. (3, 2) 97

102 4. (5, 8) single dip and 55 double dip 98

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

104 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) 100

105 5. (2, 3) 6. ( 8, 5) 7. (7, 3) 8. ( 2, 3) 9. $3 for popcorn and $2 for pizza /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 walnuts and 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 walnuts and 40 almonds Solving Linear Systems by Substitution-Quiz A 1. (2, 1) 2. ( 2, 3) 3. (2.5, 1) 101

106 4. (2, 2) 5. (5, 8) 6. (3, 5) 7. $4 for a craft kit and $3 for a picture frame mat 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 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 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% binders and 2 3 binders 102

107 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% 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% 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 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

108 3. consistent; dependent 4. consistent; dependent 5. inconsistent 6. ( 2, 3); consistent; independent 7. (2, 1); consistent; independent 8. consistent; dependent 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 single pie and 38 double pie 10. Inconsistent system; cannot determine the price. Systems of Linear Inequalities-Quiz A

109 2. no solution

110 4. 5. Maximum at (5, 5)

111 Systems of Linear Inequalities-Quiz B no solution 107

112 Maximum at (5, 5)

113 Systems of Linear Inequalities-Quiz C no solution 109

114

115 4. 5. Maximum at (5, 5). Test A 1. yes 2. no 111

116 (2, 4) 6. (0, 3) 7. (3, 4) 112

117 8. infinitely many solutions 9. no solution 10. (5, 5) $6200 at 7% and $5800 at 8.5% mph 113

118 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) y 7 6. x , x y x 7 y a 14 b 5 Exponent Properties Involving Products-Quiz B 1. x

119 2. ( 7) y 9 6. x x y x 8 y a 10 b 7 Exponent Properties Involving Products-Quiz C 1. x 7 2. ( 3) y x x y x 6 y a 6 b 20 Exponent Properties Involving Quotients-Quiz A 1. x 8 2. a 4 3. xy x y

120 x x xy y 4 9x a 3 b 13 Exponent Properties Involving Quotients-Quiz B 1. x 5 2. a 2 3. x 2 y 4. 1 x y x x x 2 y y 2 16x ab 6 Exponent Properties Involving Quotients-Quiz C 1. x 2. a 5 3. x 6 y 4. 1 x y x x

121 11. 4x 3 y y 4 49x ab 6 Zero, Negative, and Fractional Exponents-Quiz A 1. x 4 2. x 4 y x y5 x a 3 b 3 6. y 5 7. a 2 b y 5 x 8 9. a 7/ x 4/ Zero, Negative, and Fractional Exponents-Quiz B 1. x 7 2. x 5 y x y4 x a 2 b x 1 y 7 7. a 2 b y 7 x a 5/ x 2/ or

122 Zero, Negative, and Fractional Exponents-Quiz C 1. x x 7 y x y3 x a 3 b 6. y 9 7. a 2 b y 9 x a 5/ x 1/ Scientific Notation-Quiz A Scientific Notation-Quiz B

123 Scientific Notation-Quiz C Exponential Growth Function-Quiz A 1. x y 2 1/9 1 1/

124 2. x y 2 1/27 1 1/9 0 1/ x y

125 4. $ Exponential Growth Function-Quiz B 1. x y 2 1/25 1 1/

126 x y 2 1/ /25 0 1/ x y 2 3/4 1 3/

127 4. $ Exponential Growth Function-Quiz C 1. x y 2 1/16 1 1/ x y 2 1/64 1 1/16 0 1/

128 3. x y 2 1/18 1 2/ $ Exponential Decay Function-Quiz A

129 x y /3 2 1/9 2. x y /

130 mg 4. $ Exponential Decay Function-Quiz B 1. x y x y

131 mg 4. $19, Exponential Decay Function-Quiz C 1. x y

132 x y mg 4. $16, Geometric Sequences and Exponential Functions -Quiz A 1. 9, , , feet Geometric Sequences and Exponential Functions-Quiz B 1. 6,

133 , , , feet Geometric Sequences and Exponential Functions-Quiz C 1. 4, , , , feet Problem Solving Strategies -Quiz A 1. $ children 3. 4 teams 4. $80, $ Problem Solving Strategies -Quiz B 1. $ children 3. 2 teams 4. $24,

134 5. $ Problem Solving Strategies -Quiz C 1. $ children 3. 4 teams 4. $17, $ Test-A 1. x 6 2. (7) x y , x x 5 y a 8 b x x 2 y x x x 3 y y x y9 8x 19. x 5/6 20. x 1/

135 $15, $ 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

136 x y 1 $20,400 2 $17,340 3 $14,739 4 $12,528 5 $10,649 b. $ 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: x 3 + 2x b 2 3b x 2 + 8x ab 3 + a 2 b 7. 3x 3 2x 2 11x x 2 + 3xy + 4y 2 + y 3 9. x 3 + 7x 2 x a 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:

137 3. 3x 3 + 4x b 2 2b x x ab 3 + a 2 b 7. 3x 3 + x 2 10x x 2 + 4xy + 5y 2 + y 3 9. x 3 + 8x 2 3x a 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: x 3 + 6x b 2 3b x x ab 3 + a 2 b 7. 3x 3 2x 2 11x x 2 + 3xy + 5y 2 + y 3 9. x 3 + 9x 2 4x a 2 8ab 16b 2 Multiplication of Polynomials-Quiz A 1. 12y a 4 b 4 c 3. 4x 2 + 8x y 2 + 6y 2 12y 5. 12x 6 + 9x 5 24x 4 + 9x x x x x x x 2 19x x x 4 13x w w 2 + 3w

138 Multiplication of Polynomials-Quiz B 1. 56y a 4 b 4 c 3. 5x x y 2 + 7y 2 14y 5. 16x x 5 32x x x x x x x x 2 23x x 6 9x 4 10x w w 2 + 5w 12 Multiplication of Polynomials-Quiz C 1. 54y a 4 b 4 c 3. 6x x y 2 + 8y 2 16y 5. 20x x 5 40x x x x x x x x 2 27x x 6 17x 4 16x w w 2 + 7w 15 Special Products of Polynomials-Quiz A 1. x x x 2 6x x 4 + 6x x 2 24xy + 9y 2 5. x x x x 2 36y

139 Special Products of Polynomials-Quiz B 1. x x x 2 8x x 4 + 8x x 2 30xy + 9y 2 5. x x x x 2 64y 2 Special Products of Polynomials-Quiz C 1. x x x 2 10x x x x 2 42xy + 9y 2 5. x x x x 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, x = 0, 7/3 Polynomial Equations in Factored Form-Quiz B 1. x = 4 2. x = 1/

140 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, x = 0, 9/4 Polynomial Equations in Factored Form-Quiz C 1. x = 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, 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) 136

141 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) , , 3 9. ± /5 Factoring Special Products-Quiz B 1. (x + 12)(x 12) 137

142 2. (7x 9)(7x + 9) 3. (5x 6y)(5x + 6y) 4. (x 6) 2 5. (5x + 1) 2 6. (7x 3) , , 4 9. ± /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) , , 5 9. ± /3 Factoring Polynomials Completely-Quiz A 1. 5(x + 2)(x + 3) 2. 3(x )(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) and 14 or 12 and feet; 8 feet 138

143 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) and 18 or 16 and 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) and 20 or 18 and feet; 18 feet Test A x 2 + 9x a 2 b 2 + 2ab 3 + 4a 2 b 4. 3x 3 + 4x 2 15x x 2 4x x 2 + 8x 2 4x w 2 + w y x x y 3 + 3y 2 6y 139

144 11. 3x x x 3 + 8x 2 5x x x 2 + 8x x 2 + x (3x 2)(3x + 2) 17. (x 4)(x + 7) 18. (x 6) x(x + 2)(x 1) 20. (y 4)(y 7) 21. (x 1)(x + 3) 22. 1, /2, ± / x x x x x and 21 feet 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 140

145 15. B 16. C 17. a. l(l 4) = 21 b. 7 yards c. 20 yards d. $ Chapter 10 Graphs of Quadratic Functions-Quiz A

146 3. 4. B feet; 5 feet 142

147 Graphs of Quadratic Functions-Quiz B

148 3. 4. B feet; a little over 12 feet 144

149 Graphs of Quadratic Functions-Quiz C

150 3. 4. B feet; 25 feet Quadratic Equations by Graphing-Quiz A 1. 4,

151

152 feet; 8 seconds Quadratic Equations by Graphing-Quiz B 1. 4,

153

154 feet; 12 seconds Quadratic Equations by Graphing-Quiz C 1. 1,

155

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

157 7. x ± x ± about 6.1 seconds 10. about 127 feet Quadratic Equations by Square Roots-Quiz B 1. x = ±12 2. x = ± x = 3 ± 5 4. x = 1, no real solutions 6. x = 2, 6 7. x ± x ± seconds 10. about 159 feet Quadratic Equations by Square Roots-Quiz C 1. x = ±25 2. x = ± x = 4 ± 7 4. x = 1, no real solutions 6. x = 3, 7 7. x ± x ± about 6.6 seconds 10. about 188 feet Quadratic Equations by Completing the Square-Quiz A (x + 3) , ,

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

159 Quadratic Equations by Completing the Square-Quiz C (x + 4) , , vertex: ( 3, 6); x-intercepts: none; y-intercept: (0, 15) 155

160 Quadratic Equations by the Quadratic Formula-Quiz A 1. 3, , , no solution and 17 or 15 and by 17 Quadratic Equations by the Quadratic Formula-Quiz B 1. 2, , , no solution and 21 or 19 and by 25 Quadratic Equations by the Quadratic Formula-Quiz C 1. 3, , , no solution and 15 or 13 and 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 ; 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 156

161 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 ( a. ) x b. exponential curve c (1.07) x d. around $9956 Linear, Exponential and Quadratic Models-Quiz B 1. linear; y = 3x quadratic: y = x 2 2x 3. exponential: y = 200 ( a. ) x b. exponential curve 157

162 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 ( 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 c. 2.94; it has touched the floor 2. a. y = 64.78(0.996) x b degrees c degrees Problem Solving Strategies: Choose a Function Model-Quiz B 1. a. y = 3.24x b c a. y = 67.16(0.996) x b degrees c degrees Problem Solving Strategies: Choose a Function Model-Quiz C 1. a. y = 0.46x x

163 b c a. y = 51.7(0.5878) x b c. 1 Test A x = ±

164 4. x = 5 ± x = 4 ± x = 0.44, Vertex: (2, 3); x intercepts: none; y intercept: (0, 7) 10. x = 2, x = 4± no real solutions 13. x = 0.5, real solutions 15. one real solution 16. quadratic; y = 2x linear; y = 3x B seconds and 35 Test B 1. C 2. D 3. B 4. B 5. A 160

165 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

166

167 5. Graph of Square Root Function-Quiz B 1. x y

168

169 5. Graph of Square Root Function-Quiz C 1. x y

170

171 5. Radical Expressions-Quiz A /2 5. (5ab) 1/ xy 3 7xy V 3.19 cm 3 Radical Expressions-Quiz B /2 5. (9xy) 1/

172 x 2 y 4 7xy x + 8x 14. V 3.19 cm 3 Radical Expressions-Quiz C /2 5. (ab) 1/ x 2 y 2y V 3.49 cm 3 Radical Equations-Quiz A no solution 168

173 9. V 3052 cm 3 Radical Equations-Quiz B no solution 9. V 2156 cm 3 Radical Equations-Quiz C / /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 x = x = inches, 12 inches, 15 inches inches 169

174 The Pythagorean Theorem and Its Converse-Quiz B 1. yes 2. no 3. no 4. yes x = x = x = inches The Pythagorean Theorem and Its Converse-Quiz C 1. yes 2. no 3. no 4. yes x = x = inches, 12 inches, 15 inches feet Distance and Midpoint Formula-Quiz A (0, 6) 7. (1, 6) 8. ( 2.5, 3) 9. (0, 2) 10. approximately 12 miles 170

175 Distance and Midpoint Formula-Quiz B (5, 1) 7. (0, 0) 8. ( 2.5, 1) 9. (12, 2) block east and 1 block south of the library Distance and Midpoint Formula-Quiz C ( 3, 3) 7. ( 4, 4) 8. (8.5, 9) 9. (12, 10) block north and 1 block east of the library Measures of Central Tendency and Dispersion-Quiz A F 171

176 Measures of Central Tendency and Dispersion-Quiz B none lbs lbs , lbs documents Measures of Central Tendency and Dispersion-Quiz C , 24, , lbs Stem-and-Leaf Plots and Histogram-Quiz A 1. Stem Table 1.1: Leaves and

177 4. Note bars should be touching to represent histogram. Stem-and-Leaf Plots and Histogram-Quiz B 1. Stem Table 1.2: Leaves and Note bars should be touching to represent histogram Stem-and-Leaf Plots and Histogram-Quiz C 1. Table 1.3: Stem Leaves

178 Stem Table 1.3: (continued) Leaves and Note bars should be touching to represent histogram Box-and-Whisker Plots-Quiz A Box-and-Whisker Plots-Quiz B

179 Box-and-Whisker Plots-Quiz C Test-A

180 x 3 y 5 10y r 3.8 cm , yes 15. no 16. Approximately 29 feet or none Stem Table 1.4: Leaves Test B 1. D 2. C 3. A 4. B 5. C 6. A 7. D 176

181 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 Chapter 12 Inverse Variation Models Quiz A hours 177

182 Hz Inverse Variation Models Quiz B hours Hz Inverse Variation Models Quiz C

183 hours Hz Graphs of Rational Functions Quiz A x = 2; y = 0 4. x = 1/5; y = 4/

184 5. Graphs of Rational Functions Quiz B

185 2. 3. x = 3; y = 0 4. x = 2/5; y = 3/

186 Graphs of Rational Functions Quiz C x = 4; y = 0 4. x = 1/6; y = 2/

187 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 x+2 x 3. x x x 1 5. horizontal at y = 4 Division of Polynomials Quiz C 1. 2x 2 4x 8 2. x+2 x 3. x x x+6 5. horizontal at y =

188 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 x 3 5x+2 Rational Expressions Quiz C 1. x + 4; x x+3 x+6 ; x 6, 2 x+6 x x+1 x 2 Multiplication and Division of Rational Expressions Quiz A 1. 2bc (x+3) x(x+4) 3. x 4 2x+8 4. (x+3)(x+5) (x 2)(x+4) x (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)