# Algebra 1 study guides

Canonical: https://duckyhelper.com/learn/algebra-1/
Updated: 2026-10-01

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.

- [How to solve multi-step equations](https://duckyhelper.com/learn/algebra-1/solving-equations/): Solve multi-step equations with parentheses, fractions and variables on both sides. Step-by-step worked examples, common mistakes and 5 practice questions.
- [How to solve and graph inequalities](https://duckyhelper.com/learn/algebra-1/inequalities/): Solve and graph linear inequalities, including compound and/or inequalities. Learn exactly when to flip the sign, with worked examples and 5 practice questions.
- [How to solve absolute value equations and inequalities](https://duckyhelper.com/learn/algebra-1/absolute-value/): Solve absolute value equations and inequalities step by step: isolate, split into two cases, check for extraneous answers. Worked examples and practice.
- [How to find the slope of a line](https://duckyhelper.com/learn/algebra-1/slope/): Find 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.
- [Slope-intercept form and how to write the equation of a line](https://duckyhelper.com/learn/algebra-1/slope-intercept-form/): Write 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.
- [How to solve systems of equations](https://duckyhelper.com/learn/algebra-1/systems-of-equations/): Solve systems of equations by graphing, substitution and elimination. Step-by-step examples, no solution vs infinitely many, word problems and practice.
- [Functions, function notation, domain and range](https://duckyhelper.com/learn/algebra-1/functions/): What 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.
- [Exponent rules and how to use them](https://duckyhelper.com/learn/algebra-1/exponent-rules/): All 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.
- [How to simplify square roots and radicals](https://duckyhelper.com/learn/algebra-1/simplifying-radicals/): Simplify square roots step by step: pull out perfect squares, add and multiply radicals, and rationalize the denominator. Worked examples and practice.
- [Adding, subtracting and multiplying polynomials](https://duckyhelper.com/learn/algebra-1/polynomials/): How to add, subtract and multiply polynomials, including FOIL and the special products like (a + b)^2. Step-by-step examples, common mistakes and practice.
- [How to factor polynomials](https://duckyhelper.com/learn/algebra-1/factoring/): Factor polynomials step by step: greatest common factor, trinomials (even when a is not 1), grouping and difference of squares. Worked examples and practice.
- [How to solve quadratic equations](https://duckyhelper.com/learn/algebra-1/solving-quadratics/): Solve 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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