1-4 Skills Practice Solving Absolute Value Equations Evaluate each expression if = 0.4, = 2, = and = w x y z –3, –10. 1. |5w| 2. |–9y| 3. |9y 4. |17z| z| – – 5. |10z 31| 6. |8x 3y| + |2y + 5x| – – – – 7. 25 |5z + 1| 8. 44 + |–2x y| – – 9. 2|4w| 10. 3 |1 6w| – – 11. |–3x 2y| 4 12. 6.4 + |w 1| – – – Solve each equation. Check your solutions. 13. |y + 3| = 2 14. |5a| = 10 |3k 6| = 2 |2g + 6| = 0 15. 16. – 17. 10 = |1 18. |2x + = 9 c| x| – 19. |p 7| = 20. 2|3w| = 12 – –14 21. |7x 3x| + 2 = 18 22. 4|7 1 = 11 y| – – – 23. |3n 2| = 24. |8d 4d| + 5 = 13 – – 25. + 2| = 26. |k| + 10 = 9 –5|6a –15
1-4 Skills Practice Solving Absolute Value Equations Evaluate each expression if w = 0.4, x = 2, y = –3, and z = –10. 1. |5w| 2. |–9y| 3. |9y – z| 4. – |17z| 5. – |10z – 31| 6. – |8x – 3y| + |2y + 5x| 7. 25 – |5z + 1| 8. 44 + |–2x – y| 9. 2|4w| 10. 3 – |1 – 6w| 11. |–3x – 2y| – 4 12. 6.4 + |w – 1| Solve each equation. Check your solutions. 13. |y + 3| = 2 14. |5a| = 10 15. |3k – 6| = 2 16. |2g + 6| = 0 17. 10 = |1 – c| 18. |2x + x| = 9 19. |p – 7| = –14 20. 2|3w| = 12 21. |7x – 3x| + 2 = 18 22. 4|7 – y| – 1 = 11 23. |3n – 2| = 24. |8d – 4d| + 5 = 13 25. –5|6a + 2| = –15 26. |k| + 10 = 9