TEST BANK
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Margaret L. Lial, John Hornsby, David I. Schneider, Callie
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J. Daniels
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Complete Test Bank for Instructors and Students
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© Margaret L. Lial, John Hornsby, David I. Schneider, Callie J. Daniels
All rights reserved. Reproduction or distribution without permission is prohibited.
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, CONTENTS
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CHAPTER TEST FORMS 1
ANSWERS TO CHAPTER TEST FORMS 191
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DIAGNOSTIC PRETESTS AND ANSWERS 235
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FINAL EXAMS AND ANSWERS 245
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, 1
CHAPTER R, FORM A NAME
COLLEGE ALGEBRA DATE
ì 54 16 ü
1. Let A = ïí-9.6, , 6π , 0, 13, 2.15, , 49 ïý .
ïîï 7 5 ïþï
List the elements of A that belong to the given set.
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a. Natural numbers 1. a. ____________
b. Rational numbers b. ____________
c. Irrational numbers c. ____________
2. Evaluate the expression if x = -2 , y = -4 , and z = 1 : 2. ______________
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2y - x
2
( y - 3z )
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3. Identify the property illustrated. Let a, b, and c represent any
real numbers.
a. (a + b) c = ac + bc 3. a. ____________
b. a + éëb + (-b)ùû = a + 0 b. ____________
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æ 1 2 ö÷ 3 1 æ 2 3 ö÷
c. çç ⋅ ÷⋅ = ⋅çç ⋅ ÷ c. ____________
çè 2 3 ÷ø 4 2 çè 3 4 ÷ø
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d. ( p + 3) = ( p + 3) ⋅ d. ____________
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2 2
Perform the indicated operations.
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4. éë(3a + b) - 2ùû 4. ______________
(3x 2 - 2 x - 5)-(2 x3 + x - 7) + 2 x 2 ( x - 3)
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5. 5. ______________
6. ( x 2 - x + 2)(2 x - 3) 6. ______________
7. éë( x - y ) - 7ùû éë( x - y ) + 7ùû 7. ______________
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8. (2 x + 5) 8. ______________
3 y 4 - 5 y 3 -14 y 2 + 10 y
9. 9. ______________
y2 - 2
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x 2 - 9 x -1
10. ⋅ 10. ______________
x 2 - x x 2 - 3x
3x x 3x +1
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11. - - 11. ______________
x - 4 x + 4 16 - x 2
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CHAPTER R, FORM A
3a + 4b 4a - 9b
12. - 12. ______________
7 a - 5b 5b - 7 a
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xy
13. 13. ______________
11 11
+
x y
2 ⋅ 3 − 42
14. 14. ______________
−3 ( 2 + 5 )
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Factor completely.
15. x3 y 2 - 4 x3 + 8 y 2 - 32 15. ______________
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16. 8a 3 + 64b3 16. ______________
17. 6 x 4 -11x 3 - 35 x 2 17. ______________
18. 28 x 2 + 4 x - 9 18. ______________
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-2 3
æ125 ö÷
19. Evaluate çç . 19. ______________
çè 27 ÷÷ø
-6
æ x 2 3 y 3 4 z -1 2 ö
20. Simplify çç -1 4 -1 6 ÷÷÷ so that there are no 20. ______________
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çè x z ÷ø
negative exponents. Assume that all variables
represent positive real numbers.
Simplify. Assume that all variables represent positive real numbers.
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21. 3
8 x5 y 3 z 4 21. ______________
22. x 112 x + 4 175 x 3 22. ______________
23. (3 + 4 2 )(5 - 4 )
3 3
23. ______________
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24. Rationalize the denominator of and simplify. 24. ______________
5- 2 7
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25. Write the fraction as a decimal and a percent. 25. ______________
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