Reporting Strand 2: Equations & Inequalities Subunit 2b: Solving Absolute Value Equations & Inequalities
CCSS 4-‐Mastery 3-‐Proficient 2-‐Basic 1-‐Below Basic 0-‐No Evidence
Solve Equations and Inequalities (A.REI.3)
Meets all of the criteria in a Level 3
Completes tasks
including synthesis and evaluation or in context of a new situation
Solve absolute value equations & inequalities (including graph of inequality as part of solution)
Solve absolute value equations & inequalities
Solve absolute value equations or inequalities
Little evidence of reasoning or application to solve the problem
Does not meet the criteria in a level 1
A.REI.3 Levels 1-4 – Solving Absolute Value Equations & Inequalities
Solve the following absolute value equations. 1. 3𝑥 + 12 + 7 = 7 2. 3𝑥 − 7 + 7 = 2 3. 3𝑥 − 7 + 7 = 9 4. 𝑥 − 2 = 6 5. 𝑥 + 1 = 0 6. 𝑥 − 4 = −6
ABSOLUTE VALUE
7. 2𝑥 + 5 + 4 = 3 8. 2 4𝑥 − 1 = 6 9. !!2𝑥 − 6 + 1 = 2
10. −3 𝑥 − 1 − 6 = 3 11. 𝑥 − 7 + 2 = 2 12. 𝑥! − 4 = −4 13. 𝑥 + 5 = 2𝑥 − 1 14. 3𝑥 + 2 = 𝑥 − 6 15. 𝑥 − 4 = 4 − 𝑥 Solve and graph the following absolute value inequalities. 16. −3 + 𝑥 + 1 ≤ −3 17. 2 𝑥 − 1 − 4 ≥ 2
18. 𝑥 − 4 ≥ 0 19. 2𝑥 − 1 + 4 < 4 20. 3𝑥 + 4 + 5 ≤ 3 22. 𝑥 − 6 + 6 ≥ −4 23. 2 − 𝑥 < 8 24. 3 4𝑥 − 1 ≤ 9
25. 𝑥 + 6 > 0 26. 𝑥 + 3 > 4 27. 𝑥 + 3 < −6 28. 3 2𝑥 − 4 ≥ −9 29. 2 𝑥 − 9 + 6 > 6 30. −4 3𝑥 − 1 ≥ 8 31. −5 2𝑥 + 2 − 3 ≥ −3