Math 0312 Review
2+4𝑖
1) Simplify
6−2𝑖
2) Factor x2 – 11x – 26
3) Graph -3x – 2y ≤ 12
4) Find the slope and the y-intercept for the function: x + 5y = 23
5) Which quadrant is (8, -2) located in?
6) Simplify
𝑚3 −64
𝑚2 −8𝑚+16
7) Solve 2x + y = 10 and 2x – y = 14.
8) Mulitply (x – 5) (x2 +5x + 3)
9) Factor 4x2 – 20xy + 25y2
10) Multiply
2𝑥−6
11) Subtract
𝑥
5𝑥 3
⋅ 3𝑥−9
𝑥 2 −2𝑥
𝑥−5
15
− 𝑥−5
12) Solve x2 + 16x + 4 = 0
2
13) Simplify (−27)3
14) Simplify
4
−1
𝑥
4
+1
𝑥
15) Find the slope of the line that passes through (2, -3) and (7, 5)
16) Simplify √5 − 4√75 + 12√50
17) Multiply (-5x-3)(-8x-6)
18) Solve and graph -3x - 8 > 28
19) Find f(-4) is f(x) = 3x2 – 9x +8
20)
Divide x2 – 3x -10 by x – 5.
21) Evaluate
3 3
(− )
4
22) Solve 2x2 – 36 = 14x
23) Solve 1
−
5
3𝑥
=
11
6𝑥
24) Solve -5x + 9(-3x – 2) = -50 – 2x
25) Rationalize
4√3
√5