Honors Algebra II with Trigonometry Mr. Agnew Absolute Value Honors Algebra II with Trigonometry Mr. Agnew

Essential Questions Essential Vocabulary How do you solve absolute value equations and inequalities? Essential Vocabulary Absolute Value Compound inequality

Absolute Value Absolute Value: the distance a number is from zero on number line. Distance is always positive; therefore, the absolute value of a number is always positive.

Absolute Value Equations and Inequalities There can be multiple numbers with the same absolute value. (Ex: 𝒙 =𝟓) We want to make sure that we include both options when solving. Therefore, when solving absolute value equations and inequalities, split into two equations.

Solving Isolate the absolute value. (cannot = negative) Write two equations or inequalities. Solve separately. Check answers.

Homework Homework 1.4: Absolute Value and Inequalities