lesson
Solving Absolute Value Equations with Variables on Both Sides
Solve equations of the form |ax + b| = cx + d and |ax + b| = |cx + d|, verifying all potential solutions.
Updated 1 month ago · 7 views
Premium Lesson
This lesson is part of a track
Public learning track
Absolute Value Functions, Equations, and Inequalities
7 lessons
Goal
Graph absolute value functions, determine domain and range, and solve single and double-case absolute value equations and inequalities.
7 lessons
0 of 7 done
- Domain and Range of Absolute Value FunctionsUp next
- Graphing Transformed Absolute Value Functions: Vertex FormNot started yet
- Solving Two-Step Absolute Value EquationsNot started yet
- Solving Absolute Value Equations with Variables on Both SidesYou are here
- Solving Absolute Value InequalitiesNot started yet
- Restricting the Domain of an Absolute Value Function to Make It InvertibleNot started yet
- Modeling Tolerance and Error Margins with Absolute ValueNot started yet
Learning standards covered
OGM.11.ALG.1Open Global Math Standards 2026™ · 10th GradeSolve linear equations and inequalities (one/two variables), quadratic equations (by factoring, completing square, quadratic formula, complex/imaginary roots), quadratic inequalities, simultaneous systems (linear-linear, linear-quadratic, 3-variable linear), and iterative numerical approximations.
OGM.11.ALG.2Open Global Math Standards 2026™ · 10th GradePerform arithmetic and factorization on polynomials; analyze and model with function families (linear, quadratic, exponential, logarithmic, rational, radical, absolute value, step/piecewise); analyze composite functions, inverse functions (horizontal line test, domain-range symmetry), and functional transformations.