Mr. Ponder
M102
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Test 3
Name:___________________________
Date:______________
Solve the following absolute value equations and inequalities.
Express your solutions using interval notation where appropriate.
1.
3.
x 8 2
2x  3  5
Graph the following interval.
5.
(  3,   )  (  , 4 ]
2.
4.
2x  3  3  5
3x  1  5
Sec:________
Mr. Ponder
6.
A
Test 3
= { The set of even integers}
a) Find
AB
Name______________________ P. 2
B
b)
= {The set of odd integers}
AB
7. Multiply. Assume that all variables represent nonnegative, real numbers.
a.

x  2 x  3
b.

x 2

x 2

Simplify. Assume that all variables represent nonnegative numbers.
8.
9.
3
2x 3 y 2
3
8x 2 y 4
288 x 5 y 7
10. 3
34

a
3
b5
37 a 2
Mr. Ponder
Test 3
Name______________________ P. 3
Add or subtract. Simplify by collecting like radical terms, if possible.
11.
4 3 32  5 3 108  2 3 4
12. Rewrite with rational exponents and simplify.
5
243 x15 y10
13. Rationalize the denominator.
4
x2
14. Simplify. Assume that variables can represent any real number.
4
16 x 4 y 8
Bonus. Solve the radical equation:
x  1  5x . Hint, square both sides.