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Test Bank for Intermediate Algebra, 13th Edition

Sharpen your exam knowledge with Test Bank for Intermediate Algebra, 13th Edition, a guide designed to help you through practice questions.

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    Contents____________________________ iii __________________________________ Chapter Test Forms PreTest …………………………………………………………………………..89 Chapter R ……………………………………………………………………….99 Chapter 1…..…………………………………………………...……………….121 Chapter 2………………………………………………………………………..143 Chapter 3………………………………………………………………………..173 Chapter 4………………………………………………………………………..193 Chapter 5………………………………………………………………………..213 Chapter 6………………………………………………………………………..227 Chapter 7………………………………………………………………………..255 Chapter 8………………………………………………………………………..281 Chapter 9………………………………………………………………………..311 Chapter 10………………………………………………………………………339 Chapter 11………………………………………………………………………367 Final …………………………………………………………………………….387 Answers to Test Forms PreTest – Final Exam ...………………………………………………..………..403

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    INTERMEDIATE ALGEBRA, Pretest Form A 89 PRETEST, FORM A INTERMEDIATE ALGEBRA NAME: ______________________________ SECTION: ________ 1. Identify all integers in the list 3 18 , 6 , 7 , , 2.6 , 25 , 11 , , 0 5 2       . 1. _____________________ 2. Simplify 51 28   . 2. _____________________ 3. If 2 4 4, 2, and 3, find y z x x y z z x        . 3. _____________________ For Exercises 4-6, write the smallest number in each group of numbers. 4. 9, 3.2, 8, 0.1   4. _____________________ 5. 9 1 9 , , 16 , 2 4     5. _____________________ 6. 1 , 4 , 6 , 12     6. _____________________ For Exercises 7-8, simplify each expression. 7. 13 4 11 a a a   7. _____________________ 8.     4 2 1 2 4 5 p p     8. _____________________ For Exercises 9-11, solve each equation or inequality. 9. 6 5 17 x    9. _____________________ 10.   4 7 3 n n n     10. ____________________ 11. 4 3 5 z z   11. ____________________ For Exercises 12-16, perform the indicated operations. 12.   5 3 2 2 3 5 4 ab b a ab   12. ____________________ 13.     7 2 3 7 2 2 3 2 3       y y y y y 13. ____________________

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    90 INTERMEDIATE ALGEBRA, Pretest Form A 14.    2 5 3 8 n n   14. ____________________ 15.   2 3 x y  15. ____________________ 16. 5 17 6 7 2 3     x x x x 16. ____________________ For Exercises 17-19, factor the expression completely. 17. 2 2 49 25 b a  17. ____________________ 18. 2 4 28 y y   18. ____________________ 19. 4 15 4 2   y y 19. ____________________ 20. Simplify: 4 3 6 2 3             b a b a . 20. ____________________ 21. Multiply: 2 3 4 4 8 16 2 n n n n n     . 21. ____________________ 22. Divide: 2 2 2 2 2 2 2 3 2 2 5 10 u v u uv v u uv v uv v        . 22. ____________________ 23. Write ab b a 12 7 3 2 4 1   as a single fraction. 23. ____________________ For Exercises 24-25, solve each equation. 24. 2 3 8 3 y y   24. ____________________ 25. 2 3 10 1 n n    25. ____________________ 26. Solve the system: 10 3 2 3 2     y x y x . 26. ____________________ 27. Solve   D C B A   4 for B. 27. ____________________ 28. Find the square roots of 16 196 z . 28. ____________________

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    INTERMEDIATE ALGEBRA, Pretest Form A 91 29. Multiply: 2 15 3 5  . 29. ____________________ 30. Subtract: 32 72  . 30. ____________________ 31. Simplify: 4 24 . 31. ____________________ 32. A garden is in the shape of a rectangle with a perimeter of 72 meters. The length is 3 meters more than twice the width. Find the length of the garden. 32. ____________________ For Exercises 33-35, graph each equation. 33. 3 2 y x    34. 3 0 y   35. 2 4 y x  

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    92 INTERMEDIATE ALGEBRA, Pretest Form B PRETEST, FORM B INTERMEDIATE ALGEBRA NAME: ______________________________ SECTION: ________ 1. Identify all integers in the list 14 0 , 3 , 5 , , 1.5 , 9 , 7 , , 12 3 8      . (A) 12 , 7 , 3   (B) 12 , 7 , 8 0 , 3   (C) 12 , 3   (D) 12 , 7 , 9 , 8 0 , 3   1. _________ 2. Simplify 51 28   . (A) 23 (B) –23 (C) 79 (D) –79 2. _________ 3. If 3 4, 2, and 3, find yz x x y z x z        . (A) 6 7  (B) –6 (C) –18 (D) 18 7 3. _________ For Exercises 4-6, find the smallest number in each group. 4. (A) 0.1 (B) –8 (C) 9 (D) –3.9 4. _________ 5. (A) 9  (B) 2 9  (C) 4 1  (D) 16  5. _________ 6. (A) 1 (B) 6  (C) 4  (D) 12   6. _________ For Exercises 7-8, simplify each expression. 7. 13 2 a a a   (A) 10 a  (B) 11 a  (C) 10 a (D) 11 a 7. _________ 8.     4 2 1 2 4 5 p p     (A) –6 (B) 16 6 p   (C) 16 6 p   (D) 6 8. _________

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    INTERMEDIATE ALGEBRA, Pretest Form B 93 For Exercises 9-11, solve each equation or inequality. 9. 6 5 17 x    (A)   2  (B) 11 3        (C) 11 3       (D)   2 9. _________ 10.   4 7 3 n n n     (A)   3 (B)   3  (C)        2 3 (D)       2 3 10. ________ 11. z z 5 4 3   (A)   2 ,   (B)    , 2 (C)     , 2 (D)   2 ,    11. ________ For Exercises 12-16, perform the indicated operations. 12.   5 3 2 2 3 5 4 ab b a ab   (A) 7 2 5 3 20 9 b a b a   (B) 7 2 5 3 7 9 b a b a   (C) 7 2 5 3 12 20 b a b a   (D) 10 6 2 12 20 ab b a   12. ________ 13.     7 2 3 7 2 2 3 2 3       y y y y y (A) y y y   4 6 3 5 (B) 14 3 5 2 3    y y y (C) 14 3 5 2 3    y y y (D) y y y   2 3 3 5 13. ________ 14.    2 5 3 8 n n   (A) 2 6 40 n n   (B) 2 6 31 40 n n   (C) 2 6 40 n n   (D) 2 6 40 n  14. ________ 15.   2 3 x y  (A) 2 2 9 x y  (B) 2 2 9 x y  (C) 2 2 9 6 x xy y   (D) 2 2 9 6 x xy y   15. ________

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    94 INTERMEDIATE ALGEBRA, Pretest Form B 16. 3 6 5 2 2 3     x x x x (A) 2 2   x x (B) 2 2   x x (C) 2 2   x x (D) 2 2   x x 16. ________ For Exercises 17-19, factor the expression completely. 17. 2 2 49 25 b a  (A)   2 7 5 b a  (B)    b a b a 7 5 7 5   (C)    2 7 5 7 5 b a a   (D) prime 17. ________ 18. 2 5 36 t t   (A)    4 9 t t   (B)    4 9 t t   (C)    3 12 t t   (D)    3 12 t t   18. ________ 19. 4 15 4 2   y y (A)    1 2 4 2   y y (B)    4 2 1 2   y y (C)    4 1 4   y y (D)    4 1 4   y y 19. ________ 20. Simplify: 4 3 6 2 3             b a b a . (A) 20 12 1 b a (B) 12 24 8 12 b a b a  (C) 20 12 b a (D) 3 5 a b 20. ________ 21. Multiply: 2 3 4 4 8 16 2 n n n n n     . (A) 2 4 n n   (B) 2 2 2 n n  (C) 2 2 2 n n  (D) 2 1 2 n 21. ________

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    INTERMEDIATE ALGEBRA, Pretest Form B 95 22. Divide: 2 2 2 2 2 2 2 3 2 2 5 10 u v u uv v u uv v uv v        . (A) 2 5 ( ) ( ) v u v u v   (B) 5 v u v  (C) 5 v (D) 2 ( ) u v u v   22. ________ 23. Write ab b a 12 7 3 2 4 1   as a single fraction. (A) ab 3 1  (B) ab a b 12 7 8 3   (C) ab a b 12 7 8 3   (D) 1 7 4 3   a b 23. ________ For Exercises 24-25, solve each equation. 24. 2 3 8 3 y y   (A) 1 3 , 3        (B) 1 , 3 3        (C) 2 1 , 3        (D) 2 , 1 3        24. ________ 25. 2 3 10 1 n n    (A)   2, 5  (B)   5, 2  (C) 1 1 , 2 5        (D) 1 1 , 5 2        25. ________ 26. Solve the system: 10 3 2 3 2     y x y x . (A)     2 , 4  (B)     4 , 2  (C)     0 , 1 (D)             0 , 3 10 26. ________

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    96 INTERMEDIATE ALGEBRA, Pretest Form B 27. Solve   D C B A   4 for B. (A) 4 DAC B   (B) C DA B   1 (C) C DA B 4 4   (D) none of these 27. ________ 28. Find the square roots of 8 256 x . (A) 8 8 16 and 16 x x  (B) 4 4 16 and 16 x x  (C) 4 4 4 and 4 x x  (D) 8 8 4 and 4 x x  28. ________ 29. Multiply: 2 15 3 5  . (A)12 5 (B) 15 2 (C) 30 3 (D) 2 30 29. ________ 30. Subtract: 32 72  . (A) 2 10  (B) 2 2  (C) 2 2 (D) 2 10 30. ________ 31. Simplify: 4 24 . (A) 2 6 (B) 6 6 (C) 2 6 3 (D) 6 3 31. ________ 32. A garden is in the shape of a rectangle with a perimeter of 72 meters. The length is 3 meters more than twice the width. Find the length of the garden. (A) 11 meters (B) 13 meters (C) 23 meters (D) 25 meters 32. ________

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    INTERMEDIATE ALGEBRA, Pretest Form B 97 For Exercises 33-35, select the graph of each given equation. 33. 3 2 y x    33. ________ (A) (B) (C) (D) 34. 3 0 y   34. ________ (A) (B) (C) (D) 35. 2 4 y x   35. ________ (A) (B) (C) (D)

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    INTERMEDIATE ALGEBRA, Chapter R Form A 99 CHAPTER R, FORM A INTERMEDIATE ALGEBRA NAME: ______________________________ SECTION: ________ 1. Graph on a number line. 3 3, 0.5, 0, , 16 2 ⎧ ⎫ − − ⎨ ⎬ ⎩ ⎭ 1. For Exercises 2-5, Let 0 35 25 , 4, , 4.3, , 2, 3 2 7 A ⎧ ⎫ = − − ⎨ ⎬ ⎩ ⎭ . First simplify each element as needed, and then list the elements from A that belong to each set. 2. Whole Numbers 2. _____________________ 3. Integers 3. _____________________ 4. Rational Numbers 4. _____________________ 5. Real Numbers 5. _____________________ For Exercises 6-7, decide whether each statement is true or false 6. Every integer is a real number. 6. _____________________ 7. Every natural number is a whole number. 7. ____________________ In Exercises 8-13, perform the indicated operations. 8. 1 2 3 9 + 8. _____________________ 9. ( ) ( ) 6 11 11 6 − − − − + − 9. _____________________ 10. 2 8 4 2 2 3 4 ⎛ ⎞ − − + ⋅ − ⎜ ⎟ ⎝ ⎠ 10. ____________________

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    100 INTERMEDIATE ALGEBRA, Chapter R Form A 11. ( ) ( ) 2 3 7 2 16 − − − − 11. ____________________ 12. ( ) ( ) 1 2 7 4 4 1 4 ⎡ + − − + ⎤ ⎣ ⎦ − − + 12. ____________________ 13. ( ) ( ) ( ) 4 3 2 2 5 9 2 1 3 2 1 ⋅ + − − − − + 13. ____________________ The table shows projected resident population changes over a three year period, for selected states. Use this data to answer questions 14-16. State Population Percent Change From Three Years Earlier Alabama 4,833,722 +1.13% Minnesota 5,420,380 +2.20% New York 19,651,127 +1.41% Oregon 3,930,065 +2.58% Vermont 626,630 +0.14% Wyoming 582,658 +3.38% 14. What are the two largest percent changes in the given list? 14. ____________________ 15. What are the two smallest percent changes in the given list? 15. ____________________ 16. What is the difference between the populations of 16. ____________________ Alabama and Oregon? For Exercises 17-19, find the square root. If the number is not real, say so. 17. 625 − 17. ____________________ 18. 196 18. ____________________ 19. 81 − 19. ____________________ 20. Under what conditions will a be a real number? 20. ____________________

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    INTERMEDIATE ALGEBRA, Chapter R Form A 101 21. Evaluate 2 9 6 5 m k r − + if 4, 2, and r 1 k m = − = = − . 21. ____________________ 22. Use the properties of real numbers to simplify the following: ( ) ( ) 4 6 7 3 4 5 4 3 d d d − + + + − 22. ____________________ 23. In simplifying ( ) ( ) 3 2 4 5 x x − − − , how is the associative property used? What is the simplified form? 23. ____________________ ____________________ ____________________ ____________________ In Exercises 24-30, match the statement with the appropriate property. Answers may be used more than once. 24. ( ) 1 3 1 3 − − = A. Distributive Property 24. ________ 25. ( ) 5 0 5 − + = − B. Inverse Property 25. ________ 26. ( ) 2 3 4 6 8 + = + C. Identity Property 26. ________ 27. ( ) ( ) 4 6 4 6 c c + + = + + D. Associative Property 27. ________ 28. ( ) ( ) 3 2 4 4 3 2 m m + = + E. Commutative Property 28. ________ 29. ( ) 2 2 2 3 2 3 2 t t t − + = − + F. Multiplication Property 29. ________ of Zero 30. 2 8 0 0 y ⋅ = 30. ________

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    102 INTERMEDIATE ALGEBRA, Chapter R Form B CHAPTER R, FORM B INTERMEDIATE ALGEBRA NAME: ______________________________ SECTION: ________ 1. Graph the set on a number line. 5 1, 3.5, 0, , 4 3 ì ü ï ï ï ï - - - í ý ï ï ï ï î þ 1. For Exercises 2-5, let       − − − = 2 , 2 , 5 35 , 5 . 3 , 7 0 , 4 , 36 A . First simplify each element as needed, and then list the elements from A that belong to each set. 2. Whole Numbers 2. _____________________ 3. Integers 3. _____________________ 4. Rational Numbers 4. _____________________ 5. Real Numbers 5. _____________________ For Exercises 6-7, decide whether the statement is true or false.. 6. Every real number is a rational number. 6. _____________________ 7. Every whole number is a rational number. 7. _____________________ In Exercises 8-13, perform the indicated operations. 8. 3 4 7 5 − 8. _____________________ 9. 2 5 1 8 7 9 3 6 2 ⎛ ⎞ − ⋅ + − + ⎜ ⎟ ⎝ ⎠ 9. _____________________ 10. ( ) ( ) ( ) ( ) ( ) 2 3 4 3 6 8 1 3 + + − + 10. ____________________ 11. ( ) 2 4 1 1 49 − − 11. ____________________

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