Mathematician _________________________________
Unit 1 Prerequisite Skills
Evaluate Functions. Evaluate each function.
1.
𝑓(𝑥) = 5𝑥 − 6. Find 𝑓(7).
2.
𝑓(𝑥) = −10𝑥 + 15. Find 𝑓(3).
3.
𝑓(𝑥) = (𝑥 + 2)2 − 6𝑥. Find 𝑓(5).
4.
𝑓(𝑥) = 𝑥 2 − 4𝑥 + 10. Find 𝑓(−2).
5.
𝑓(𝑥) = 3𝑥 + 6. Find 𝑓(𝑥 + 1).
6.
𝑓(𝑥) =
(𝑥−1)
2
. Find 𝑓(2𝑥 − 1).
Solve Linear Equations and Inequalities. Solve each linear equation or inequality for 𝑥.
7.
4(3𝑥 − 1) = 24
8.
9.
2𝑥 − (5𝑥 − 4) = 4(−𝑥 + 1)
10.
11.
2
3
5
𝑥 −4 = 2𝑥 + 5
12.
2𝑥 − 6 > 3 − 𝑥
1
2
𝑥 ≥ 4𝑥 − 3
−4 ≤ 3𝑥 − 7 ≤ 4
Slope. Find the slope of a line given two points or a graph.
13.
(−4, −1) and (−2, 5)
14.
15.
(4, 9) and (4, 6)
16.
17.
(2, 1) and (−8, 9)
18.
Solve for a Variable. Solve each equation for 𝑦.
19.
3𝑥 + 𝑦 = 15
20.
𝑦 − 5 = 3𝑥
21.
3𝑥 + 3𝑦 = 12
22.
7𝑦 − 21𝑥 = 14
23.
2𝑥 + 4 = 9 − 𝑦
24.
2𝑥 + 5 = 6𝑦 − 9
Graphing Linear Equations and Inequalities. Graph each linear equation or inequality.
25.
𝑥 = −3
26.
𝑦<4
27.
𝑦 = 3𝑥 − 4
28.
𝑦 ≥ −𝑥 + 1
29.
3𝑦 − 4𝑥 = 6
30.
2𝑥 − 3𝑦 > −3