Math — Algebra
Algebra questions ask you to solve equations, evaluate functions, work with proportions and percents, and interpret linear relationships. Every item here is self-contained: read carefully, set up the equation, and re-check by substituting your answer back in.
Solving Linear Equations
Isolate the variable by undoing operations in reverse order: handle addition and subtraction first, then multiplication and division. Distribute across parentheses when needed, and always verify by plugging your solution back into the original equation.
Functions and Substitution
To evaluate a function like f(x) = 2x^2 - 3 at a value, substitute the value and follow the order of operations, exponents before multiplication. Careful substitution avoids the most common sign and squaring errors.
Percents, Proportions, and Slope
Translate percent problems into equations ('20% of n is 15' becomes 0.20n = 15). Slope between two points is the change in y divided by the change in x. Keep units and signs consistent throughout.