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For Educational Use Only © 2010 Benchmark 10 I can solve absolute value equations

For Educational Use Only © 2010 1) Solve absolute value equations. 2) Solve absolute value equations where there is a number outside of the absolute value. Lesson Objectives

For Educational Use Only © 2010 We have to look at two cases, x – 2 could equal either ___ OR ___ and still have an absolute value of 5. Lesson Objectives x – 2 = 5 1) 5 - 5

For Educational Use Only © 2010 x – 2 = 5 1) Example = – 3 = 5 x – 2 = – 5 x – 2 + 2 7 = – 3 = x= 7 x x x xx OR

For Educational Use Only © 2010 = – 6 x + 1 2) Example Can’t do this The absolute value is always positive No Solution

For Educational Use Only © 2010 2x – 7 + 5 2x – 7 – 5 3) Example + 5 9 = = 4 2x – 7 = 9 2x – 7 9

For Educational Use Only © 2010 2x – 7 = 9 2222 + 7 3) Example = – 1 = 9 2x – 7= – 9 2x – 7 + 7 16 = + 7 – 2 = x= 8 x 2x OR 2x 22

For Educational Use Only © 2010 2x – 4 + 8 6 6 2x – 4 – 8 4) Example + 8 = = – 2 2x – 4 = 2 3 3

For Educational Use Only © 2010 1) Key Points & Don’t Forget = – 2 x + 3 2) When you solve an absolute value equation you must look at two cases. No Solution

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