Absolute value guides

Absolute value in algebra: identities, |ax + b| expressions, equations, inequalities, and graphs. Case splits, verification, and how the topics fit together.

Compare |x| (distance from zero) with |a − b| (distance between two points). Formulas, number-line examples, word problems, and common mistakes to avoid.

Graph y = |x| and shifted forms like y = |x − h| + k. Learn the vertex, slopes, symmetry, and how equations and inequalities intersect the V.

Solve |x| < a and |x| > a using distance on the number line. Compound inequalities, interval notation, shifted forms |x − h| < k, and graphing tips.

Solve absolute value equations like |x| = a and |ax + b| = c. Split into two cases, solve each branch, verify solutions, and spot when no real answer exists.

Worked absolute value examples for integers, decimals, fractions, zero, and |a − b|. Step-by-step solutions you can copy for homework and test prep.

Use the free absolute value calculator to find |x| instantly in your browser. Learn what to enter, how results match the textbook rule, and when to check by hand.

Learn how to calculate |x| step by step: flip negative inputs, keep non-negative values. Mental math, spreadsheets, and how to verify with a calculator.

Absolute value formulas: piecewise definition, √(x²), max form, and |a − b| for distance between two points. See when to use each form with examples.

What is absolute value? |x| is the distance from zero on the number line. Learn the definition, notation, piecewise rule, and examples for integers and decimals.