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Warm Up

Warm Up. Solve each equation for the given variable. 7x = 56 2) 3y + 7 = 19 3) 4 – 2x = 16 4) x – 9 = -22. 6-5 Solving Absolute Value Equations. Standard 3.0 : Students solve equations and inequalities involving absolute value. Absolute Value (of x). Symbol lxl

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Warm Up

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  1. Warm Up Solve each equation for the given variable. 7x = 56 2) 3y + 7 = 19 3) 4 – 2x = 16 4) x – 9 = -22

  2. 6-5 Solving Absolute Value Equations Standard 3.0: Students solve equations and inequalities involving absolute value.

  3. Absolute Value (of x) • Symbol lxl • The distance x is from 0 on the number line. • Always positive • Ex: l-3l=3 -4 -3 -2 -1 0 1 2

  4. Ex: x = 5 • What are the possible values of x? x = 5 or x = -5

  5. Try It Out!

  6. To solve an absolute value equation: ax+b = c, where c>0 *C cannot be negative To solve, set up 2 new equations, then solve each equation. ax+b = c or ax+b = -c ** make sure the absolute value is by itself before you split to solve.

  7. Ex: Solve 6x-3 = 15 6x-3 = 15 or 6x-3 = -15 6x = 18 or 6x = -12 x = 3 or x = -2 * Plug in answers to check your solutions!

  8. Ex: Solve 2x + 7 -3 = 8 Get the abs. value part by itself first! 2x+7 = 11 Now split into 2 parts. 2x+7 = 11 or 2x+7 = -11 2x = 4 or 2x = -18 x = 2 or x = -9 Check the solutions.

  9. Try It Out! • Solve each equation.

  10. Homework Assignment • Page 325 #7 – 18 All

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