MTH 121
Exam 1, Form A
Spring 2013
No calculators.
These formulas may or may not be useful:
a3+b3=(a+b)(a2−ab+b2) a3−b3=(a−b)(a2+ab+b2)
(For this exam, assume any variables represent positive numbers.)
Justify your answers with neat and organized work.
100 points possible.
1. Use absolute value notation to describe the situation.
The distance between x and 7 is no more than 4.
2. Evaluate the expression for the given value of x.
x2−4x−6 x=−3
3. Perform the operation and simplify:
5
6
−
2
3
+
3
4
4. Perform the operation and simplify:
20÷
1
5
5. Put in simplest exponential form: (1) no radicals, and (2) positive
exponents only.
⎛ ⎝
23a3c−2
2a−1c6
⎞ ⎠
−3
6. Put in simplest exponential form: (1) no radicals, and (2) positive
exponents only.
(6x5y−2)2
(2xy4)3
7. The radicand is a perfect power. Find the specified root.
√
z16x4
8. The radicand is a perfect power. Find the specified root.
3 ⎛ √
125
64
y27
9. Simplify by removing perfect powers from the radicand.
Leave the radical sign in your answer.
3
√
−x7w10
10. Simplify by removing perfect powers from the radicand.
Leave the radical sign in your answer.
4 ⎛ √
81a16x5
16c10t7
11. Put in simplest exponential form: (1) no radicals, and (2) positive
exponents only.
x1/4 x8
12. Put in simplest exponential form: (1) no radicals, and (2) positive
exponents only.
⎛ ⎝
16w6
25c16
⎞ ⎠
3/2
13. Put in simplest exponential form: (1) no radicals, and (2) positive
exponents only.
( b3/4 x4 )4
14. Put in simplest exponential form: (1) no radicals, and (2) positive
exponents only.