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Name
Class
Date
Chapter 8 Chapter Test
Review
Alg II
Do you know HOW?
Is the relationship between the values in each table a direct variation, an inverse
variation, or neither? Write an equation to model any direct or inverse variation.
3.
x
–2
y
4
4.
6
x
–2
–1
3
–8 –12
y
 1 –1
2
1
3
4
Write an equation for the translation of y 
5. x = 1, y = 1
2
with the given asymptotes.
x
1
6.
x  5, y 
2
For each rational function, identify any holes or horizontal or vertical
asymptotes of its graph.
7. y 
x
x 3
9. y 
x3
 x  2  x  3
y
2( x  8)
8 x
10.
y
1
3
x4
12.
y
1
3
x4
8.
Sketch the graph of each rational function.
x
11. y 
x  x  2
Simplify each rational expression. State any restrictions on the variable.
3 x 2  12
2 x2  x
x
13.
14.

2
2
x  x6
4 x  4 x  1 8x  4
Simplify each sum or difference.
2
x
17.

x 5 x 5
18.
3x
1
 2
x 4 x
2
Prentice Hall Gold Algebra 2 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
Name
Class
Chapter 8 Chapter Test Review
Alg II
(continued)
Simplify each complex fraction.
2
3
3
1

4
3
1
x
1
5 
y
1 
19.
1 
20.
Solve each equation. Check each solution.
x x
21.   10
3 2
22.
Date
y  3 y 1

5
7
23.
x
 2x  3
2
24. 
25.
1 1
4
  2
x 6 3x
26.
x 2x

4 3
2x  4
0
x 5
Prentice Hall Gold Algebra 2 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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