advertisement

Algebra I – Chapter 4 Inequality Review Name: ______________________________________ Show all work and solutions to receive full credit. Is each number a solution of the given inequality? 1. 3y + 2 –10 a. –2 b. –4 c. –5.5 Define a variable and write an inequality to model each situation. 2. The package must at most 25 lb. 3. The wind speed is greater than 10 mi/h. Write an inequality for each graph. 4. 5. Graph each inequality on a number line. 6. x > -3 7. x ≤ 0 8. -4 > x 9. 7 ≤ x Solve and graph each inequality. Show all work! 1 10. x 12 3 11. 7y –11 17 12. –8k – 15 < 33 13. 9z 2z + 35 14.17 – x > 3 15. 3y + 9 < –7y – 11 16. 6(y –5) > 12 17. 3(4x –2) 2(5x –8) 18. 4 – 2(p + 3) > 3(p – 1) Solve the following word problems using inequalities. 19. Sarah’s cell phone plan allows her a limited number of text messages for $15 a month. Each text over this amount costs $0.12. If her parents require her phone bill (excluding taxes and fees) to be at most $25, what is the maximum number of texts she can send/receive over the allotted amount? 20. An elevator can lift at most 4400 lb. A concrete block has an average weight of 42 lb. What is the maximum number of concrete blocks that the elevator can lift?