Math Final
MA 106 Final Exam Name________________________
Solve by Factoring.
1) 𝑥2 + 4𝑥 − 5 = 0
2) (𝑥 − 2) (𝑥 + 5) = 8
Solve.
3) A batter hits a baseball in the air. The height h (in feet) of the baseball after t seconds is
given by the equation ℎ = −16𝑡2 + 64𝑡 + 3 = 0. When is the baseball at a height of three feet?
Simplify.
4) 8164
5) 50
6) 10
x25
7) 3
7
x3
x48
Solve.
8) 𝑥2 − 64 = 0
MA 106 Final Exam Name________________________
9) (𝑥 + 2)2 = 36
10) Solve by completing the square.
7x6x 2
11) Solve by using the quadratic formula.
4-x6x 2
Find all values that make the rational expression undefined. If the rational expression is
defined for all real numbers, so state.
12) 18x9x
64x 2
2
Simplify the expression.
13) 2
32
9x3x
x217x
Perform the indicated operation. Simplify if possible.
14) ara
a
ra
ra 2
22
MA 106 Final Exam Name________________________
15) 2
12
2
4
1x
x
1-x
48x
16) 6-m
18
6-m
9mm 2
17) 3x
6
3x
4
18) 49x
x
142x
11 2
Solve the equation.
19) x
7
7
1
x
2
MA 106 Final Exam Name________________________
Simplify the complex fraction.
20)
1 a
7
1 a
7
21) The triangles in the figure are similar. Find the length of the side marked with an x.
Simplify.
22) x17x1713
23) 3234
24) 210210
Solve.
25) 63x2
10
8
x 5
4
3