Algebra 1 8.2 Pre-test Worksheet
8.2: Solve Inequalities and Represent Solutions
1.Solve the inequality and represent the
solution on a number line (3 points).
6𝑥
4
2.Solve the inequality and represent the
solution on a number line
165 < −5 + 5(−7𝑥 − 8)
+ 2 ≤ 11
3. Solve the inequality and represent the solution
on the number line
12 < −3𝑣 + 6 ≤ 27
4. Choose the correct solution to the inequality:
𝑥
4(𝑥 + 2) < 5𝑥 − 6 + 3.
o A. 𝑥 <
42
o B. 𝑥 >
21
4
2
o C. 𝑥 > 21
o D. 𝑥 <
2013-2014 revise rr
21
2
Algebra 1 8.2 Pre-test Worksheet
5. The math club needs to raise more than $400 to pay for a field trip. They already have $120. There are 14
members in the math club. They agree that each member must raise the same amount of money.
a. Write an inequality to represent the situation, where x represents the amount of money each
member must raise
5b. Solve the inequality to determine how much money
each member must raise.
6. Which of the following is the solution to:
|𝑥 + 6| − 2 ≥ 16. Show all work in the box.
o A. −24 ≤ 𝑥 ≤ 12
o B. 𝑥 ≤ −24 𝑜𝑟 𝑥 ≥ 12
o C. −20 ≤ 𝑥 ≤ 8
o D. 𝑥 ≤ −20 𝑜𝑟 𝑥 ≥ 8
-3
7. Solve the following absolute value inequality and
represent it on a number line.
−4|𝑥 − 6|
≤ −8
2
8. Select the inequality that matches the
graph
o
o
o
o
2013-2014 revise rr
8
A
B
C
D
−3 ≥ 𝑥 ≥ 8
−3 ≤ 𝑥 ≤ 8
𝑥 ≤ −3 𝑜𝑟 𝑥 ≥ 8
𝑥 ≥ −3 𝑜𝑟 𝑥 ≤ 8