Name:___________________________________ Date:__________ Period:__________
Algebra 2 Ch.7 Test
Simplify each radical expression.
1.
400 x 2 y 6
2.
3
 125a 9
3.
Simplify each expression.
4.
6.
200 x 3 y 5
2 xy
8  3 2 8  3 2 
5.
8x 3  2 x 5
7.
63  2 28  5 7
Completely simplify each expression. (Rationalize the denominators.)
1
5
8.
9.
3 5
8
4
81x 5 y 9
Name:___________________________________ Date:__________ Period:__________
Simplify each expression. Assume that all variables are positive.
 16 x y

2
 81xy
5
10.
12.
2
3
a a
10



3
4
1
2
11.
(64)
13.
4 x
2

2
3
y4

1
2
Solve each equation. Check for extraneous solutions.
14.
x  7  x 1
15.
3x  8  2
16. 2 x  13  3
1
Let f ( x)  x 2  5 and g ( x)  x  7 . Perform each function operation. Then find the domain of each.
f ( x)
f ( x)  g ( x)
f ( x)  g ( x)
17.
18.
19.
g ( x)
Name:___________________________________ Date:__________ Period:__________
For each pair of functions…
20. Find f(g(x)) f ( x)  3x  5, g ( x)  x 2  1
21. Find g(f(x)) f ( x)  x 2  5 x  2, g ( x)  2 x
Let f ( x)  5 x  4 and g ( x)  x 2  1
g ( f (1))
22.
23.
f (g (2))
Find the inverse of each function. Is the inverse a function?
f ( x)  x  4
24.
25.
f ( x)  ( x  2) 2  4
26.
f ( x)  3 x  2
27. The children’s park has become very popular since your club built new play equipment. Use the
equation f  4 A to calculate the amount of fence f you need to buy based on the area A of the
playground. The park currently has an area of 8100 ft 2 . How many feet of fencing currently encloses
the park?
Name:___________________________________ Date:__________ Period:__________
Match each function with its corresponding graph.
28. y =
x 1  3
A.
29. y =  x  1  1
B.
30.
C.
y= 
1
x2
4
31. y = 2 x  3  1
D.