Algebra

Isolate the variable using inverse operations — the single most reused algebra skill on the GAT-E.

The five exponent rules that turn scary-looking powers into one-line answers.

Solve inequalities like equations — with the one rule that flips the sign, the trap the GAT-E tests most.

Two unknowns, two equations — solve by substitution or elimination, whichever is faster.

Combine like terms, expand products, and use the three factoring patterns the GAT-E rewards.

Spot arithmetic and geometric rules, then jump straight to the nth term without listing everything.

Solve x² problems by factoring or square-rooting — the two methods the GAT-E rewards.

Name the unknown, build an equation from the sentence, and solve — the bridge between words and algebra.

Evaluate f(x), compose functions, and handle "defined operation" symbols — a favourite GAT-E twist.

Cancel common factors safely and combine algebraic fractions over a common denominator.

Split an absolute-value equation into two cases and discard impossible ones.

Solve a formula for any one of its letters using the same inverse-operation moves as a numeric equation.

Model "y varies as x" relationships with a constant k, and use one data point to find the rest.

Set up equations for the three classic applied scenarios the GAT-E reuses.