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INTERMEDIATE ALGEBRA
TEST CHAPTER 7
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In problems 1 – 3, simplify.
3
1.
2x y
5
4x 2
3
x4
4
(3x‫ ½ ־‬y² ) ‫⅓ ־‬
2.
7
y2
3.
2
x7
3
4.
5.
Use radical notation to write the expression: 6x 7 .
Evaluate: 64
1
3
In problems 6 – 8, simplify. Assume all variables represent positive real numbers.
40 x 5 y 9
6.
3
9.
Combine like terms:
10.
Multiply and simplifyS: (2
405 x 7 y 8 z
7.
80 x
+2
8.
3
27 x 5 y 9
45x -3 20 x
3 - 5 2 )( 3 + 4 2 )
In problems 11 – 13, rationalize the denominator. Assume all variables represent positive real numbers.
11.
6
7
3x
12.
3x
13.
32
2 3 5
In problems 14 – 16, solve.
14.
16.
7x  5 = 4
15.
1+
x 1 =
x2
3x  1
(x – 3) =
In problems 17 – 19, perform the indicated operation. Express results in the form of (a + bi).
17.
 16
20.
Reduce i
18.
47
(
 3 )(  3 )
to the lowest positive power.
19.
(4 – 3і )(6 + 2і )