COLLEGE ALGEBRA AND
TRIGONOMETRY
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SEVENTH EDITION
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Margaret L. Lial
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John Hornsby
David I. Schneider
Callie J. Daniels
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All Chapters Included
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All Answers Included
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CHAPTER R, FORM A NAME
COLLEGE ALGEBRA AND TRIGONOMETRY DATE
¹' 54 16 '¹
1. Let A = (- 9.6, , 6 , 0, 13, 2.15, ,
't 7 5 'j
List the elements of A that belong to the given set.
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)
2
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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.
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b. a + Fb +(-b)l = a + 0 b.
L ⎦
l'1 2ıh 3 1 'l2 3ıh
⋅ ⋅ = ⋅ ⋅
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c. c.
'y2 3jı 4 2 y' 3 4jı
1 1
d. ( p + 3) = ( p + 3)⋅ d.
2 2
Perform the indicated operations.
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4. F l
2
L (3a + b)- 2 ⎦ 4.
5. (3x2 - 2x -5)-(2x3 + x - 7)+ 2x2 (x -3) 5.
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6. (x2 - x + 2)(2x -3) 6.
7. F lF l
L (x - y ) -7 ⎦ L (x - y)+ 7 ⎦ 7.
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8. (2x + 5)
3
8.
3y4 -5 y3 -14 y2 +10 y
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9. 9.
y2 - 2
10. x2 -9 ⋅ x -1 10.
x2 - x x2 -3x
3x x 3x +1
11. - - 11.
x - 4 x + 4 16 - x2
Copyright © 2021 Pearson Education, Inc.
, CHAPTER R, FORM A
3a + 4b 4a - 9b
12. - 12.
7a -5b 5b - 7a
xy
13. 13.
11 11
+
x y
2 3 − 42
14. 14.
−3(2 + 5)
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Factor completely.
15. x3 y2 - 4x3 +8 y2 -32
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15.
16. 8a3 + 64b3 16.
17. 6x4 -11x3 - 35x2
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17.
18. 28x2 + 4x - 9 18.
l h- 2 3
19. Evaluate ' 125 ı .
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19.
'y 27 ıJ
-6
l x2 3 y3 4 z-1 2 h
20. Simplify ' ı so that there are no 20.
negative exponents. Assume that all variables
represent positive real numbers.
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Simplify. Assume that all variables represent positive real numbers.
21. 3
8x5 y3 z 4 21.
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22. x 112x + 4 175x3 22.
23. (3 + 43 2)(5- 3 4) 23.
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24. 12
Rationalize the denominator of and simplify. 24.
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25. 4
Write the fraction as a decimal and a percent. 25.
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