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# Section 1.4: Solving Absolute Value Equations-Copy of Algebra 1.4 Notes -Algebra I/CP

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Fawn Benson

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- 1. Open Ended30 seconds1 ptSimplify the expressions: 1. -|-2| =
- 2. Open Ended30 seconds1 ptSimplify the expressions: 2. |-7| - |7|
- 3. Open Ended30 seconds1 ptSimplify the expressions: 3. |-3 x 2| =
- 4. Open Ended30 seconds1 ptSimplify the expressions: 4. -15/5=
- 5. Open Ended30 seconds1 ptExample #1: Solve each equation. Graph the solution. (a). x-4=6
- 6. Open Ended30 seconds1 ptExample #1: Solve each equation. Graph the solution. (b). 3x +1=-5
- 7. Open Ended30 seconds1 ptExample #2 Solving Absolute Value Equations |3x+9|-10=-4
- 8. Open Ended30 seconds1 ptSolving Equations with Two Absolute Values Example #4: Solve |3x-4|=|x|
- 9. Open Ended30 seconds1 ptSolving Equations with Two Absolute Values Example #4: Solve |4x-10|=2|x+1|
- 10. Open Ended30 seconds1 ptMonitoring Practice: 7(a). For a poetry contest, the minimum length of a poem is 16 lines. The maximum length is 32 lines. Write an absolute value equation that represents the minimum and the minimum and maximum lengths.
- 11. Open Ended30 seconds1 ptMonitoring Practice: 7(b). For a writing assignment, the essay should be at least 375 words but no more than 425 words. Write an absolute value equation that represents the minimum and maximum number of words.
- 12. Open Ended30 seconds1 ptIdentifying Extraneous Solutions Extraneous solution: an apparent solution that must be rejected because it does not satisfy the original equation. **When solving equations of the form |ax + b| = |cx +d|, it is possible that one of the related linear equations will not have a solution. Example #5: Solve and check your solutions 2x +12| = |4x |
- 13. Open Ended30 seconds1 ptIdentifying Extraneous Solutions Extraneous solution: an apparent solution that must be rejected because it does not satisfy the original equation. **When solving equations of the form |ax + b| = |cx +d|, it is possible that one of the related linear equations will not have a solution. Example #6: Solve |x +5| = |x+11|
- 14. Open Ended30 seconds1 ptEXTRA PRACTICE: Answer the following questions. If you need extra place please use your notebook or a piece of loose leaf. |3x+12|=0
- 15. Open Ended30 seconds1 ptEXTRA PRACTICE: Answer the following questions. If you need extra place please use your notebook or a piece of loose leaf. |y+2|=8
- 16. Open Ended30 seconds1 ptEXTRA PRACTICE: Answer the following questions. If you need extra place please use your notebook or a piece of loose leaf. -4|7-6k|=14
- 17. Open Ended30 seconds1 ptEXTRA PRACTICE: Answer the following questions. If you need extra place please use your notebook or a piece of loose leaf. |d/3|=3
- 18. Open Ended30 seconds1 ptEXTRA PRACTICE: Answer the following questions. If you need extra place please use your notebook or a piece of loose leaf. 3|2x+5|+10=37
- 19. Open Ended30 seconds1 ptIn Exercises 6-9, solve the equation.Check your solutions. |20x|=|4x+16|
- 20. Open Ended30 seconds1 ptIn Exercises 6-9, solve the equation.Check your solutions. |p+4|=|p-2|
- 21. Open Ended30 seconds1 ptIn Exercises 6-9, solve the equation.Check your solutions. |4q+9|=|2q-1|
- 22. Open Ended30 seconds1 ptIn Exercises 6-9, solve the equation.Check your solutions. |2x-7|=|2x=9|
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