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Solve Equations and Inequalities Involving | Absolute Value |

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Presentation on theme: "Solve Equations and Inequalities Involving | Absolute Value |"— Presentation transcript:

1 Solve Equations and Inequalities Involving | Absolute Value |

2 Warm-up Solve the following equations: 1. 3x + 5 = 9 2. ½ x - 3 = 2 3. 2(x+4) = 9 4. 2x + 3 = 5x - 9 5. -3x +2 ≥ 7 6. -⅔x + 3 = 2 X = 4/3 X = 10 X = 1/2 X = 4 X ≤ -5/3 X = 3/2

3 Solving Absolute Value Equation 1. |x| = 3 x = 3x = -3 2. |x| - 6= 3 x - 6 = 3x - 6 = -3 x = 9x = 3 +6

4 Your Turn! 3. |x| = -94. |x| + 8 = 5 x = -9x = 9x = -3x = 3

5 5. |x + 5| = 3 x + 5 = -3x + 5 = 3 -5 x =-8 -5 x =-2 6. 2 |x + 5| = 10 x + 5 = -3x + 5 = 3 -5 x =-8 -5 x =-2 x + 5 = 5x + 5 = -5 -5 x =0 -5 x =-10 22

6 Classwork

7 Multiple-choice review Solving linear equations, inequalities and absolute value equations

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