Problem preview
A-REI.3.1 Warmup M1-010-A09-V03

Solve and graph one-variable absolute-value equations and inequalities; interpret solutions in context.

Solve an absolute-value equation with a variable outside the absolute value

Problem

Solve the absolute-value equation \(|x~+~2|~=~3x~-~6\) and check for extraneous solutions.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
A-REI.3.1
Category
Algebra
Domain
Reasoning with Equations and Inequalities
Objective
Solve and graph one-variable absolute-value equations and inequalities; interpret solutions in context.
Problem type
Solve an absolute-value equation with a variable outside the absolute value