College Algebra and Trigonometry – 7th
ST
Edition
UV
TEST BANK
IA
_A
Margaret L. Lial
PP
RO
Comprehensive Test Bank for Instructors and
Students
VE
© Margaret L. Lial
D?
All rights reserved. Reproduction or distribution without permission is prohibited.
??
©STUDYSTREAM
, 1
CHAPTER R, FORM A NAME
COLLEGE ALGEBRA AND TRIGONOMETRY DATE
ì 54 16 ü
1. Let A = ïí-9.6, , 6π , 0, 13, 2.15, , 49 ïý .
ïîï 7 5 ïþï
ST
List the elements of A that belong to the given set.
a. Natural numbers 1. a. ____________
b. Rational numbers b. ____________
UV
c. Irrational numbers c. ____________
2. Evaluate the expression if x = -2 , y = -4 , and z = 1 : 2. ______________
2
2y - x
2
( y - 3z )
IA
3. Identify the property illustrated. Let a, b, and c represent any
real numbers.
a. (a + b) c = ac + bc 3. a. ____________
_A
b. a + éëb + (-b)ùû = a + 0 b. ____________
æ 1 2 ö÷ 3 1 æ 2 3 ö÷
c. çç ⋅ ÷⋅ = ⋅çç ⋅ ÷ c. ____________
èç 2 3 ÷ø 4 2 èç 3 4 ÷ø
PP
1 1
d. ( p + 3) = ( p + 3) ⋅ d. ____________
2 2
Perform the indicated operations.
RO
2
4. éë(3a + b) - 2ùû 4. ______________
5. (3x 2 - 2 x - 5)-(2 x3 + x - 7) + 2 x 2 ( x - 3) 5. ______________
6. ( x 2 - x + 2)(2 x - 3) 6. ______________
VE
7. éë( x - y ) - 7ùû éë( x - y ) + 7ùû 7. ______________
3
8. (2 x + 5) 8. ______________
3 y 4 - 5 y 3 -14 y 2 + 10 y
D?
9. 9. ______________
y2 - 2
x 2 - 9 x -1
10. ⋅ 10. ______________
x 2 - x x 2 - 3x
??
3x x 3x +1
11. - - 11. ______________
x - 4 x + 4 16 - x 2
Copyright © 2021 Pearson Education, Inc.
, 2
CHAPTER R, FORM A
3a + 4b 4a - 9b
12. - 12. ______________
7 a - 5b 5b - 7 a
ST
xy
13. 13. ______________
11 11
+
x y
UV
2 ⋅ 3 − 42
14. 14. ______________
−3 ( 2 + 5 )
Factor completely.
IA
15. x3 y 2 - 4 x3 + 8 y 2 - 32 15. ______________
16. 8a 3 + 64b3 16. ______________
17. 6 x 4 -11x3 - 35 x 2 17. ______________
_A
18. 28 x 2 + 4 x - 9 18. ______________
-2 3
æ125 ö÷
19. Evaluate çç . 19. ______________
çè 27 ÷÷ø
PP
-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. ______________
çè x z ÷ø
negative exponents. Assume that all variables
represent positive real numbers.
RO
Simplify. Assume that all variables represent positive real numbers.
21. 3
8x5 y 3 z 4 21. ______________
22. x 112 x + 4 175 x 3 22. ______________
VE
23. (3 + 4 2 )(5 - 4 )
3 3
23. ______________
12
24. Rationalize the denominator of and simplify. 24. ______________
5- 2 7
D?
4
25. Write the fraction as a decimal and a percent. 25. ______________
5
??
Copyright © 2021 Pearson Education, Inc.
, 3
CHAPTER R, FORM A
26. The wind chill factor w is given by the equation 26. ______________
w = 35.74 + 0.6215T - 35.75V 0.16 + 0.4275TV 0.16
ST
where T represents the temperature in degrees Fahrenheit
and V represents the wind velocity. Find the wind chill factor
when the temperature is –40°F and the wind velocity is
15 mph. (Round to the nearest tenth.)
UV
IA
_A
PP
RO
VE
D?
??
Copyright © 2021 Pearson Education, Inc.
ST
Edition
UV
TEST BANK
IA
_A
Margaret L. Lial
PP
RO
Comprehensive Test Bank for Instructors and
Students
VE
© Margaret L. Lial
D?
All rights reserved. Reproduction or distribution without permission is prohibited.
??
©STUDYSTREAM
, 1
CHAPTER R, FORM A NAME
COLLEGE ALGEBRA AND TRIGONOMETRY DATE
ì 54 16 ü
1. Let A = ïí-9.6, , 6π , 0, 13, 2.15, , 49 ïý .
ïîï 7 5 ïþï
ST
List the elements of A that belong to the given set.
a. Natural numbers 1. a. ____________
b. Rational numbers b. ____________
UV
c. Irrational numbers c. ____________
2. Evaluate the expression if x = -2 , y = -4 , and z = 1 : 2. ______________
2
2y - x
2
( y - 3z )
IA
3. Identify the property illustrated. Let a, b, and c represent any
real numbers.
a. (a + b) c = ac + bc 3. a. ____________
_A
b. a + éëb + (-b)ùû = a + 0 b. ____________
æ 1 2 ö÷ 3 1 æ 2 3 ö÷
c. çç ⋅ ÷⋅ = ⋅çç ⋅ ÷ c. ____________
èç 2 3 ÷ø 4 2 èç 3 4 ÷ø
PP
1 1
d. ( p + 3) = ( p + 3) ⋅ d. ____________
2 2
Perform the indicated operations.
RO
2
4. éë(3a + b) - 2ùû 4. ______________
5. (3x 2 - 2 x - 5)-(2 x3 + x - 7) + 2 x 2 ( x - 3) 5. ______________
6. ( x 2 - x + 2)(2 x - 3) 6. ______________
VE
7. éë( x - y ) - 7ùû éë( x - y ) + 7ùû 7. ______________
3
8. (2 x + 5) 8. ______________
3 y 4 - 5 y 3 -14 y 2 + 10 y
D?
9. 9. ______________
y2 - 2
x 2 - 9 x -1
10. ⋅ 10. ______________
x 2 - x x 2 - 3x
??
3x x 3x +1
11. - - 11. ______________
x - 4 x + 4 16 - x 2
Copyright © 2021 Pearson Education, Inc.
, 2
CHAPTER R, FORM A
3a + 4b 4a - 9b
12. - 12. ______________
7 a - 5b 5b - 7 a
ST
xy
13. 13. ______________
11 11
+
x y
UV
2 ⋅ 3 − 42
14. 14. ______________
−3 ( 2 + 5 )
Factor completely.
IA
15. x3 y 2 - 4 x3 + 8 y 2 - 32 15. ______________
16. 8a 3 + 64b3 16. ______________
17. 6 x 4 -11x3 - 35 x 2 17. ______________
_A
18. 28 x 2 + 4 x - 9 18. ______________
-2 3
æ125 ö÷
19. Evaluate çç . 19. ______________
çè 27 ÷÷ø
PP
-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. ______________
çè x z ÷ø
negative exponents. Assume that all variables
represent positive real numbers.
RO
Simplify. Assume that all variables represent positive real numbers.
21. 3
8x5 y 3 z 4 21. ______________
22. x 112 x + 4 175 x 3 22. ______________
VE
23. (3 + 4 2 )(5 - 4 )
3 3
23. ______________
12
24. Rationalize the denominator of and simplify. 24. ______________
5- 2 7
D?
4
25. Write the fraction as a decimal and a percent. 25. ______________
5
??
Copyright © 2021 Pearson Education, Inc.
, 3
CHAPTER R, FORM A
26. The wind chill factor w is given by the equation 26. ______________
w = 35.74 + 0.6215T - 35.75V 0.16 + 0.4275TV 0.16
ST
where T represents the temperature in degrees Fahrenheit
and V represents the wind velocity. Find the wind chill factor
when the temperature is –40°F and the wind velocity is
15 mph. (Round to the nearest tenth.)
UV
IA
_A
PP
RO
VE
D?
??
Copyright © 2021 Pearson Education, Inc.
