Math 070
Review Exam 2- Chapter 9
****************************************************************************************************************
Simplify the radical.
5
1) - -3125
2)
3)
4
4
-256
1296
Evaluate the expression, if possible.
4) -321/5
5) 815/4
6)
8 2/3
64
7) 125-1/3
8)
27 -1/3
125
1
9) 49-3/2
10) 81-5/4
11)
1
27-4/3
Perform the indicated operation and simplify. Assume all variables in the radicand are greater than
or equal to zero.
12) 180x 7 y8
13)
3
512x 4 y5
14) 25p1/5q -1 1/2
15)
27a 3 b-6 1/3
a -3 b6
2
Simplify by factoring out the given factor.
16) x 5/7 + 3x 3/7 ; x3/7
17) 7k-5 + k-10;
k-10
Use the quotient rule to divide and simplify.
80
18)
49
19)
162
125
Add or subtract. Assume all variables represent positive real numbers.
20) 3x 2 - 2 48x 2 + 6 48x 2
21) 6
3
x 3 y13 - 2xy
3
8y10
3
Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
22) 2( 50 + 10)
23) (8 11 + 6)(8 11 + 9)
24) (6 5 - 7) 2
Rationalize the denominator. Assume that all variables represent positive real numbers.
2
25)
5
5
26) 3
9x 2
27)
3
7-6
28)
x - 11
x + 11
4
Determine the domain and range of the function. Then graph it and label at least four points on the graph grid.
29) f(x) = x - 2
30) f(x) = x - 5
5
Solve the equation. Do not forget to check for extraneous solutions.
31) x - 5 + 2 = 4
32)
5x + 8 + 8 = -2
33)
4x - 3 + x = 6
34)
x+ 7+ x=3
35)
3
-9 + 10x -
3
-4 + 8x = 0
6
Add or subtract. Write the result in the form a + bi.
36) (5 + 6i) - (-6 + i)
37) (6 - 6i) + (2 + 3i)
Multiply. Write the result in the form a + bi.
38) 6i(4 - 4i)
39) (6 - 8i)(9 + 5i)
Perform the indicated operation. Write the result in the form a + bi.
7 - 5i
40)
6 + 8i
41)
6 + 2i
9 - 3i
7