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College Algebra, 4th Edition Test Bank

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    T ESTING M ANUAL J AMES L APP C OLLEGE A LGEBRA F OURTH E DITION J. S. Ratti University of South Florida Marcus McWaters University of South Florida Leslaw A. Skrzypek University of South Florida

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    CONTENTS Test Forms A, B, C, and D are Free Response Test Forms E and F are Multiple Choice Chapter P Tests .......................................................................................................... P-1 Chapter P Answers................................................................................................... P-15 Chapter 1 Tests .......................................................................................................... 1-1 Chapter 1 Answers..................................................................................................... 1-9 Chapter 2 Tests .......................................................................................................... 2-1 Chapter 2 Answers................................................................................................... 2-23 Chapter 3 Tests .......................................................................................................... 3-1 Chapter 3 Answers................................................................................................... 3-17 Chapter 4 Tests .......................................................................................................... 4-1 Chapter 4 Answers................................................................................................... 4-15 Chapter 5 Tests .......................................................................................................... 5-1 Chapter 5 Answers................................................................................................... 5-17 Chapter 6 Tests .......................................................................................................... 6-1 Chapter 6 Answers................................................................................................... 6-19 Chapter 7 Tests .......................................................................................................... 7-1 Chapter 7 Answers................................................................................................... 7-19 Chapter 8 Tests .......................................................................................................... 8-1 Chapter 8 Answers................................................................................................... 8-15

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    Chapter P Test Form A Name ________________________ Ratti & McWaters, College Algebra , 4th edition P-1 1) Evaluate 7 11 .     1) 2) Simplify     4 2 4 3 2 2 7 5 6 5 3 7 5 4 . x x x x x x x           2) 3) Simplify 2 2 2 2 2 8 2 . 2 3 20 x x x x x x x x          3) 4) Multiply    3 2 2 3 4 2 7 . x x x x      4) 5) Write   2,   using inequality notation and sketch its graph. 5) 6) Factor 2 2 48. x x   6) 7) Multiply   2 2 3 . x  7) 8) Factor 2 6 11 35. x x   8) 9) Simplify 2 2 2 1 3 . 12 6 8 x x x x x x        9) 10) Factor 3 2 6 14 15 35. x x x    10) 11) Evaluate 2 x y x y    for 3 x   and 7. y   11) 12) Convert 15/ 4 x to radical notation, simplify your answer. Assume all variables represent positive values. 12) 13) Determine the domain of   4 2 2 x x x x    . Write the answer using interval notation. 13) 14) Factor 4 9 1125 . x x  14) 15) List all the numbers in the following set that are rational or irrational. 5 3, 5.12112..., 8, 3.21, 81, 3        15) Rational Irrational 16) Simplify 5 2 3 3 8 . 2 x y x y Assume all variables represent positive values. 16)

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    Chapter P Test Form A Name ________________________ Ratti & McWaters, College Algebra , 4th edition P-2 17) Simplify 4 4 2 3 . x y x        Write the solution using only positive exponents. 17) 18) Rationalize the denominator of 2 7 3 . 4 7   18) 19) Simplify 2 3 2 6 3 3 3 2 7 16 . y x y x y  Assume all variables represent positive values. 19) 20) Determine the length of the hypotenuse of a right triangle if the lengths of the sides of the triangle are 99 and 20. 20) 21) Simplify   3/ 2 5 1/ 3 1/ 2 1/ 3 9 . x y x y   Write the solution using only positive exponents. 21)

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    Chapter P Test Form B Name ________________________ Ratti & McWaters, College Algebra , 4th edition P-3 1) Evaluate 4 7 .     1) 2) Simplify     4 3 2 4 2 3 4 6 1 7 6 5 . x x x x x x x         2) 3) Simplify 2 2 2 2 12 2 . 7 10 4 21 x x x x x x x x          3) 4) Multiply    3 2 3 4 2 3 3 . x x x x     4) 5) Write   , 4  using inequality notation and sketch its graph. 5) 6) Factor 2 15 50. x x   6) 7) Multiply   2 5 2 . x  7) 8) Factor 2 9 3 20. x x   8) 9) Simplify 2 2 5 2 3 . 12 2 8 x x x x x x        9) 10) Factor 3 2 6 15 14 35. x x x    10) 11) Evaluate   2 x y y x   for 7 x   and 3. y  11) 12) Convert 10 / 3 y to radical notation, simplify your answer. Assume all variables represent positive values. 12) 13) Determine the domain of    2 7 5 2 x x x    . Write the answer using interval notation. 13) 14) Factor 5 2 6 162 . x x  14) 15) List all the numbers in the following set that are rational or irrational. 5 25, 3, , 5.213, 7, 6.23223... 7         15) Rational Irrational 16) Simplify 7 3 3 4 2 . 18 x y x y Assume all variables represent positive values. 16)

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    Chapter P Test Form B Name ________________________ Ratti & McWaters, College Algebra , 4th edition P-4 17) Simplify 3 1 4 3 . 5 x y x         Write the solution using only positive exponents. 17) 18) Rationalize the denominator of 7 2 5 . 5 1   18) 19) Simplify 5 3 3 7 20 3 45 . y x y x x y  Assume all variables represent positive values. 19) 20) Determine the length of the hypotenuse of a right triangle if the lengths of the sides of the triangle are 15 and 8. 20) 21) Simplify   1/ 3 3/ 4 2 / 3 4 2 . 8 x y x y   Write the solution using only positive exponents. 21)

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    Chapter P Test Form C Name ________________________ Ratti & McWaters, College Algebra , 4th edition P-5 1) Evaluate 5 21 .    1) 2) Simplify     4 3 4 3 2 8 6 4 3 6 5 3 4 . x x x x x x x          2) 3) Simplify 2 2 2 2 8 12 8 15 . 12 2 x x x x x x x x          3) 4) Multiply    3 2 2 3 6 5 4 . x x x x      4) 5) Write   4,   using inequality notation and sketch its graph. 5) 6) Factor 2 11 28. x x   6) 7) Multiply   2 4 3 . x  7) 8) Factor 2 8 22 21. x x   8) 9) Simplify 2 2 2 3 3 . 6 5 3 10 x x x x x x        9) 10) Factor 3 2 5 6 15 18. x x x    10) 11) Evaluate 2 2 5 x y xy   for 5 x  and 3. y   11) 12) Convert 19 / 4 y to radical notation, simplify your answer. Assume all variables represent positive values. 12) 13) Determine the domain of   3 4 2 4 x x x x    . Write the answer using interval notation. 13) 14) Factor 6 3 5 40 . y y  14) 15) List all the numbers in the following set that are rational or irrational. 7 7, 9.01001..., 12, 9.35, 64, 9        15) Rational Irrational 16) Simplify 4 9 5 3 50 . 2 x y x y Assume all variables represent positive values. 16)

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    Chapter P Test Form C Name ________________________ Ratti & McWaters, College Algebra , 4th edition P-6 17) Simplify 2 5 4 3 7 . x y x          Write the solution using only positive exponents. 17) 18) Rationalize the denominator of 3 11 2 . 3 11   18) 19) Simplify 7 5 2 4 2 3 3 4 3 24 . x x y x y x y  Assume all variables represent positive values. 19) 20) Determine the length of one side of a right triangle if the hypotenuse has length 25 and the other side has length 7. 20) 21) Simplify   1/ 2 3 3/ 5 3/ 2 1/ 3 25 . x y x y   Write the solution using only positive exponents. 21)

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    Chapter P Test Form D Name ________________________ Ratti & McWaters, College Algebra , 4th edition P-7 1) Evaluate 12 16 .     1) 2) Simplify     4 3 2 4 2 3 7 6 4 3 5 6 10 . x x x x x x x         2) 3) Simplify 2 2 2 2 4 21 6 8 . 3 10 2 35 x x x x x x x x          3) 4) Multiply     3 2 5 2 2 5 4 3 . x x x x      4) 5) Write   , 2  using inequality notation and sketch its graph. 5) 6) Factor 2 3 40. x x   6) 7) Multiply   2 2 5 . x  7) 8) Factor 2 12 11 15. x x   8) 9) Simplify 2 2 7 3 1 . 7 6 4 12 x x x x x x        9) 10) Factor 3 2 20 16 15 12. x x x    10) 11) Evaluate 2 x xy y x   for 8 x   and 6. y   11) 12) Convert 11/ 2 x to radical notation, simplify your answer. Assume all variables represent positive values. 12) 13) Determine the domain of    2 4 3 x x x    . Write the answer using interval notation. 13) 14) Factor 4 8 1000 . y y  14) 15) List all the numbers in the following set that are rational or irrational. 8 13, 8.31331..., 5, 6.71, 121, 11        15) Rational Irrational 16) Simplify 5 9 6 5 5 . 45 x y x y Assume all variables represent positive values. 16)

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    Chapter P Test Form D Name ________________________ Ratti & McWaters, College Algebra , 4th edition P-8 17) Simplify 3 7 5 4 . 2 x y y        Write the solution using only positive exponents. 17) 18) Rationalize the denominator of 2 13 1 . 2 13   18) 19) Simplify 2 3 4 48 75 . x y xy x y  Assume all variables represent positive values. 19) 20) Determine the length of one side of a right triangle if the hypotenuse has length 149 and the other side has length 140. 20) 21) Simplify   4 / 3 3/10 2 / 3 4 2 / 5 . 125 x y x y   Write the solution using only positive exponents. 21)

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    Chapter P Test Form E Name ________________________ Ratti & McWaters, College Algebra , 4th edition P-9 1) Evaluate 11 3 .      a) 8  b) 8 c) 14  d) 14 1) 2) Simplify     4 2 4 3 3 4 7 8 4 3 7 8 . x x x x x x         a) 4 3 2 7 3 4 16 x x x     b) 4 3 2 3 4 14 x x x x     c) 4 3 2 7 3 4 14 x x x x     d) 4 3 2 3 4 16 x x x    2) 3) Simplify 2 2 2 2 9 20 4 21 . 10 21 20 x x x x x x x x          a) 2 2 11 28 11 28 x x x x     b) 2 2 11 28 3 28 x x x x     c) 2 2 3 28 3 28 x x x x     d) 2 2 11 28 11 28 x x x x     3) 4) Multiply     4 2 3 4 2 3 5 . x x x x     a) 5 4 3 2 2 6 8 9 9 19 11 20 x x x x x x       b) 5 4 3 2 6 8 9 15 19 20 x x x x x      c) 5 4 3 2 6 17 15 19 20 x x x x x     d) 5 4 3 2 6 9 11 20 x x x x x     4) 5) Use inequality notation to describe   2,3  and sketch the interval. a) 2 3; x    b) 2 3; x    c) 2 3; x    d) 2 3; x    5) 6) Factor 2 2 24. x x   a)    4 6 x x   b)    6 4 x x   c)    3 8 x x   d)    8 3 x x   6) 7) Multiply   2 4 3 . x  a) 2 16 9 x  b) 2 16 24 9 x x   c) 2 16 12 9 x x   d) 2 16 9 x  7) 8) Which of the following is a factor of 2 8 2 45? x x   a)   2 15 x  b)   4 3 x  c)   2 5 x  d)   4 9 x  8) 9) Evaluate 2 x y x y    when 6 and 8. x y     a) 29  b) 35  c) 29 d) 5  9)

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    Chapter P Test Form E Name ________________________ Ratti & McWaters, College Algebra , 4th edition P-10 10) Simplify 2 2 2 3 5 . 6 7 12 x x x x x x        a)     2 8 22 2 4 3 x x x x x      b)     2 2 2 4 3 2 x x x x x      c)     2 3 4 22 2 4 3 x x x x x      d)     2 18 2 2 4 3 x x x x x      10) 11) Factor 3 2 6 15 14 35. x x x    a)     2 3 5 2 7 x x   b)     2 2 7 3 5 x x   c)     2 2 5 3 7 x x   d)     2 2 5 3 7 x x   11) 12) Write 19 / 4 x in simplified radical form. a) 4 19 x b) 4 4 3 x x c) 19 4 x d) 5 4 x x 12) 13) Determine the domain of    3 2 5 x x x    . Write your answer using interval notation. a)     , 3 3,    b)   5, 2  c)       , 5 5, 2 2,       d)     , 5 2,     13) 14) Factor 3 40 1715. x  a)    2 5 2 7 4 28 49 x x x    b)    2 5 2 7 4 14 49 x x x    c)    2 5 2 7 4 14 49 x x x    d)    2 5 2 7 4 28 49 x x x    14) 15) Which of the following numbers is irrational? a) 2.3131 b) 7 c) 7 3  d) 25 15) 16) Which of the following numbers is rational? a) 80 b) 4 c) 5.202002... d) none 16) 17) Simplify 5 2 2 3 16 . x y x y Assume all variables represent positive values. a) 2 4 x xy y b) 3 16 x y c) 4 x xy d) 4 x xy y 17) 18) Rationalize the denominator of 3 7 5 . 5 7   a) 5 7 2 9  b) 10 7 23 9  c) 7 10 3   d) 2 7 11 3   18)

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    Chapter P Test Form E Name ________________________ Ratti & McWaters, College Algebra , 4th edition P-11 19) Simplify 2 3 2 4 3 . x y x         Write the solution using only positive exponents. a) 14 4 9 x y b) 4 14 9 y x c) 4 14 9 y x d) 14 4 9 x y 19) 20) Which expression represents the length of the side of a right triangle if the hypotenuse has length 13 and the other side has length 9? a) 2 2 9 13  b) 2 2 13 9  c) 9 13  d) 13 9  20) 21) Simplify 3 3 5 8 7 16 4 54 . x x x  Assume all variables represent positive values. a) 3 3 26 2 x x b) 3 2 2 26 2 x x c) 2 3 26 2 x x d) 2 3 26 x x 21) 22) Simplify   1/ 3 4 1/ 2 2 / 3 5/ 3 27 . x y x y  Write the solution using only positive exponents. a) 2 11/ 6 3 x y b) 3/ 2 2 9 y x c) 2 3/ 2 3 x y d) 2 3/ 2 9 x y 22)

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    Chapter P Test Form F Name ________________________ Ratti & McWaters, College Algebra , 4th edition P-12 1) Evaluate 12 5 .     a) 7 b) 7  c) 17  d) 17 1) 2) Simplify     4 2 4 3 5 9 4 6 7 8 4 8 . x x x x x x         a) 4 3 2 2 8 9 14 x x x    b) 4 3 2 12 8 9 8 2 x x x x      c) 4 3 2 2 8 9 8 2 x x x x      d) 4 3 2 12 8 9 14 x x x     2) 3) Simplify 2 2 2 2 30 3 28 . 11 28 8 12 x x x x x x x x          a) 2 2 20 6 8 x x x x     b) 2 2 20 2 8 x x x x     c) 2 2 9 20 6 8 x x x x     d) 2 2 9 20 6 8 x x x x     3) 4) Multiply     4 3 2 5 3 2 7 . x x x x     a) 5 4 3 2 6 19 10 2 9 35 x x x x x      b) 5 4 3 2 6 11 10 2 19 35 x x x x x      c) 5 4 3 2 6 11 8 19 35 x x x x x     d) 5 4 3 2 6 19 12 9 35 x x x x x     4) 5) Use inequality notation to describe   4, 2  and sketch the interval. a) 4 2; x    b) 4 2; x    c) 4 2; x    d) 4 2; x    5) 6) Factor 2 6 40. x x   a)    8 5 x x   b)    5 8 x x   c)    10 4 x x   d)    4 10 x x   6) 7)   2 3 5 x  a) 2 9 25 x  b) 2 9 15 25 x x   c) 2 9 30 25 x x   d) 2 9 16 25 x x   7) 8) Which of the following is a factor of 2 18 33 40? x x   a)   6 5 x  b)   3 8 x  c)   9 2 x  d)   3 10 x  8) 9) Evaluate 2 x y x y    when 5 and 10. x y     a) 2 3  b) 7 3  c) 2 3 d) 6  9)

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