2-5 Study Guide and Intervention Solving Equations Involving Absolute Absolute Value Expressions Expressions with absolute values define an upper and lower range in which a value must lie. Expressions involving absolute value can be evaluated using the given value for the variable. Example: Evaluate 7 if = 3. t – – 7 = 7 – – – – Replace t with 3. = 7 – 3 5 = – –2 = 2 7 – = 2 = –5 Simplify. Exercises Evaluate each expression if = = and = 3. r n t –2, –3, 1. + 3 2. 7 3. 5 + – – – – + 7 + 4 + + 4. 5. 6. n – – – Evaluate each expression if = 2, = = = = 4.5, and = 4. n q r v w x –1.5, –3, –8, 7. + 8. 10 + 9. q – – – + 1 + 2 10. 11. 12. v – – – 13. + + (n 14. 4w + 15. 5 – x) – – – –
2-5 Study Guide and Intervention Solving Equations Involving Absolute Absolute Value Expressions Expressions with absolute values define an upper and lower range in which a value must lie. Expressions involving absolute value can be evaluated using the given value for the variable. Example: Evaluate – – 7 if t = 3. – – 7 = – – 7 Replace t with 3. = – 7 3 – 5 = –2 = 2 – 7 = 2 = –5 Simplify. Exercises Evaluate each expression if r = –2, n = –3, and t = 3. 1. – + 3 2. – – 7 3. 5 + – 4. + – 7 5. – + 4 6. – + n + Evaluate each expression if n = 2, q = –1.5, r = –3, v = –8, w = 4.5, and x = 4. 7. + 8. 10 – + 9. – – q 10. v – + 11. 1 + – 12. 2 – 13. + + (n – x) 14. 4w – + 15. – – 5 –
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