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