Solve Absolute Value Equations and Inequalities

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Presentation transcript:

Solve Absolute Value Equations and Inequalities Lesson 1.7 Solve Absolute Value Equations and Inequalities

Objective Solve absolute value equations and inequalities

Standard 1.0 Students will solve equations and inequalities involving absolute value

Absolute value A number x written , is the distance the number is from 0 on the number line Question What numbers are 1 unit from 0 on the number line? What numbers are 1 unit from 5 on the number line?

Solving Absolute value equations Examples 1. 2.

Where c>0 Step 1: Write two equations: ax + b = -c or ax + b = c Step 2: Solve each equation Step 3: Check each solution in the original equation

Indy Practice 1. 2.

Compound Absolute Value Inequalities

How do you remember And/OR? Greater than mORe than Less than Less thAND

Example

Indy Practice

Welcome to the Real World A professional baseball should weigh 5.125 ounces, with a tolerance of 0.125 ounce. Write and solve an absolute value inequality that describes the acceptable weights for the ball Actual Weight - Ideal Weight ≤ Tolerance

Homework p.55 #3, 7, 20, 30, 38, 56, 81