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4-3 SOLVING ABSOLUTE VALUE EQUATIONS MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: SOLVE EQUATIONS THAT INVOLVE ABSOLUTE VALUE; USE ABSOLUTE VALUE EQUATIONS TO MODEL REAL-WORLD PROBLEMS.

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WARM UP

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WORK WITH A PARTNER The actual results could vary from the poll results by -3% to 3%. 1)What is the greatest percent of voters who might vote for Blake? 2)What is the least percent of voters who might vote for Cortez? 3)According to the poll, can Cortez get a majority of the votes?

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EXAMPLE Use a number line to solve |m| = 2.5

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USE A NUMBER LINE TO SOLVE a)| b | = 2b) 4 = | y | c) | x | = 5d) x = | 5 |

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CRITICAL THINKING… Is there a solution for | x | = - 3? Explain.

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SOLVE | x | + 5 = 11 GOAL: Get absolute value by itself on one side of equation.

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SOLVE | x | + 11 = 5 GOAL: Get absolute value by itself on one side of equation.

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SOLVE 3 = |w| - 4 GOAL: Get absolute value by itself on one side of equation.

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SOLVE GOAL: Get absolute value by itself on one side of equation.

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The equation | p – 9 | = 3 represents the max and min % of people who are undecided. Solve the equation.

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SOLVE & CHECK | c – 2 | = 6

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SOLVE & CHECK | x + 8 | = 5

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HOMEWORK Pg 172-173 #5–7, 11, 16, 22, 23, 29 STUDY FOR QUIZ TOMORROW!

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