Math 101 Exam #1 Review
1) Simplify:
2
16
2) Multiply:
2
(2 3 )x y
3) Divide:
2
3 6
i
i
4) Divide:
3 2
2
1 1
6 9 3
x x x
x x x
5) Factor:
3
3 81x
6) Add: (33i-9) + (5i-6)
7) Add:
2
2
3 4 3
x
x x x
8) Factor:
2
2 41 20x x
9) Simplify:
32 2 2 5 50
10) Subtract:
2 3
2 1 3x x
11) Multiply: (9i+1)(2i-3)
12) Factor:
2
100 200 100x x
13) Simplify without negative exponents:
2
3 9
17 4
5
25
x y
x y
14) Solve:
2 1
3
3 4
x
15) Solve, graph, and put into interval notation:
3 9 18x
16) Solve by the quadratic formula:
2
3 5 2x x
17) Solve:
2 1 1
3 3 3x x x
18) An investment of $14,000 was placed into 2 accounts: one earning 5% interest per
year and the other earning 6.5% interest per year. The interest earned after one
year was $1024. Find how much was invested in each account.
19) Solve, graph, and put into interval notation:
2
6 8x x
20) Solve:
36 5x x
21) Solve by completing the square:
2
4 4x x
22) Solve:
92
17
x
