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Solve. Assume that y varies inversely as x.
5. If y = 3 when x = 9, find x when y = 1.
ANSWER: 27
Practice Test - Chapter 11
Determine whether each table represents an
inverse variation. Explain.
6. If y = 2 when x = 0.5, find y when x = 3.
ANSWER: 1. x
2
4
8
y
10
12
14
Simplify each expression. State the excluded
values of the variables.
ANSWER: No; the products are not the same.
7. ANSWER: 2. x
2
4
8
y
2
1
8. ANSWER: ANSWER: yes;
9. MULTIPLE CHOICE The area of a rectangle is
2
x + 5x + 6 square feet. If the width is x + 2, what is
the length of the rectangle?
Find each product or quotient.
3. ANSWER: A x + 2
B x + 3
C 1
D 3
ANSWER: B
4. ANSWER: Simplify each expression.
10. Solve. Assume that y varies inversely as x.
5. If y = 3 when x = 9, find x when y = 1.
ANSWER: ANSWER: 27
6. If y = 2 when x = 0.5, find y when x = 3.
ANSWER: 11. eSolutions Manual - Powered by Cognero
Simplify each expression. State the excluded
Page 1
ANSWER: 16. (3x − 14x − 3) ÷ (x − 5)
ANSWER: ANSWER: Practice Test - Chapter 11
Assume that y varies inversely as x. Write an
inverse variation equation that relates x and y.
17. y = 2 when x = 8
11. ANSWER: ANSWER: x +5
18. y = −3 when x = 1
12. ANSWER: ANSWER: Find each sum or difference.
19. ANSWER: 13. ANSWER: 20. ANSWER: Find each quotient.
2
14. (2x + 10x) ÷ 2x
ANSWER: x +5
21. ANSWER: 2
15. (4x − 8x + 5) ÷ (2x + 1)
ANSWER: 22. ANSWER: 2
16. (3x − 14x − 3) ÷ (x − 5)
ANSWER: State the excluded value or values for each
function.
Assume that y varies inversely as x. Write an
inverse variation equation that relates x and y.
17. y = 2 when x = 8
ANSWER: eSolutions Manual - Powered by Cognero
23. ANSWER: 1
Page 2
ANSWER: Practice Test - Chapter 11
State the excluded value or values for each
function.
23. ANSWER: 1
24. ANSWER: −3, 8
Identify the asymptotes of each function.
25. ANSWER: x = 4, x = −2, y = 0
26. ANSWER: x = 4, x = −7, y = 2
27. MULTIPLE CHOICE Lee can shovel the
driveway in 3 hours, and Susan can shovel the
driveway in 2 hours. How long will it take them
working together?
F 6 hours
G 5 hours
H hours
J 4 hours
ANSWER: H
28. PAINTING Sydney can paint a 60-square foot wall
in 40 minutes. Working with her friend Cleveland, the
two of them can paint the wall in 25 minutes. How
long would it take Cleveland to do the job himself?
ANSWER: eSolutions Manual - Powered by Cognero
Page 3
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