Algebra 2
Unit 1 Posttest Review
[Type here]
SHOW ALL WORK. Circle your final answer.
1) What is the first step to solving this equation?
10+6𝑥
3𝑥−4
=5
2) Solve this equation: −9 + 7𝑏 = 8𝑏 − 7
3) Describe the graph of this inequality include if the line is dotted or solid, if you shade above or below the line:
7𝑥 + 2𝑦 ≤ 2
4) Write the inequality that represents this graph:
5) Solve and graph the inequality: 4𝑥 − 18 < 2 and −17𝑥 − 8 ≥ −25
Algebra 2
Unit 1 Posttest Review
6) Solve and graph the absolute value inequality: |3𝑥 + 6| ≤ 3
[Type here]
7) Write the system of equations for the following problem: A vending machine sells chips at $0.55 and candy at
$0.75. Last month, the vending machine yielded $189.00 with 280 items sold.
−2𝑥 = 8 − 6𝑦
8) What is the solution to this linear system? {
−15𝑥 = 21 − 6𝑦
1
9) Classify the system as intersecting, parallel, or coincidental: {
− 2 𝑥 = −2 − 𝑦
1
1 + 𝑦 = 2𝑥 + 7
𝑦 > 3𝑥 − 6
10) Graph this system of linear inequalities on GRAPH PAPER: {
𝑦 + 4 ≤ −3𝑥
11) What is the range of all real numbers such that 2x – 5 < 7 AND 4x + 10 > 6? (Hint: You are solving this compound
inequality and writing your answer in interval notation)
𝑥 = −8 + 𝑦
12) Solve this system of linear equations by substitution: {−3𝑥 − 3𝑦 = 2 4
Algebra 2
13) Solve this equation: -6+5x=6x – 7
Unit 1 Posttest Review
14) Graph this equation on GRAPH PAPER: -x – y = 1
15) Graph this equation on GRAPH PAPER: -3y = x – 6
[Type here]