Study guides
Algebra 1 study guides
Twelve study guides that follow the usual order of an Algebra 1 class. Each one explains the idea in plain words, works through examples from easy to test-hard, lists the mistakes that cost the most points, and ends with five practice questions with full explanations. Every answer on these pages was checked by a computer algebra script.
Updated
- 1How to solve multi-step equationsSolve multi-step equations with parentheses, fractions and variables on both sides. Step-by-step worked examples, common mistakes and 5 practice questions.
- 2How to solve and graph inequalitiesSolve and graph linear inequalities, including compound and/or inequalities. Learn exactly when to flip the sign, with worked examples and 5 practice questions.
- 3How to solve absolute value equations and inequalitiesSolve absolute value equations and inequalities step by step: isolate, split into two cases, check for extraneous answers. Worked examples and practice.
- 4How to find the slope of a lineFind the slope of a line from two points, a graph or an equation. Zero vs undefined slope, parallel and perpendicular slopes, worked examples and practice.
- 5Slope-intercept form and how to write the equation of a lineWrite the equation of a line in slope-intercept, point-slope and standard form. From a point and a slope, two points, or a parallel line, with worked examples.
- 6How to solve systems of equationsSolve systems of equations by graphing, substitution and elimination. Step-by-step examples, no solution vs infinitely many, word problems and practice.
- 7Functions, function notation, domain and rangeWhat a function is, how to read and evaluate f(x), and how to find domain and range from an equation, table or graph. Worked examples and 5 practice questions.
- 8Exponent rules and how to use themAll the exponent rules in one place, why they work, and how to simplify expressions with negative and zero exponents. Worked examples and 5 practice questions.
- 9How to simplify square roots and radicalsSimplify square roots step by step: pull out perfect squares, add and multiply radicals, and rationalize the denominator. Worked examples and practice.
- 10Adding, subtracting and multiplying polynomialsHow to add, subtract and multiply polynomials, including FOIL and the special products like (a + b)^2. Step-by-step examples, common mistakes and practice.
- 11How to factor polynomialsFactor polynomials step by step: greatest common factor, trinomials (even when a is not 1), grouping and difference of squares. Worked examples and practice.
- 12How to solve quadratic equationsSolve quadratic equations by factoring, square roots and the quadratic formula, and use the discriminant to count solutions. Worked examples and practice.
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