Absolute Value Equations Practice — |ax + b| = c (Free)
Practice solving absolute value equations with this free tool. Solve |ax + b| = c for both solutions — the tool accepts your answers in any order and shows the two-case method.
How the practice works
- Pick a difficulty.
- Solve and enter the solution(s), then press Check.
- Read the feedback and step-by-step solution, then press Next.
Why two cases
Because |ax + b| = c (with c > 0) splits into ax + b = c and ax + b = −c. If c = 0 there is one solution; if c < 0 there is none.
Frequently asked questions
Why do these equations have two answers?
The expression inside can be +c or −c and still have the same absolute value, giving two equations to solve.
How do I enter two answers?
Type both in any order, like 8, -2 — or x = 8 or x = -2. For no solution, type ‘none’.
Is it free?
Yes — unlimited problems, no sign-up, with progress saved in your browser.
Read the full lesson: learn the method step by step.
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