Elementary Algebra
Variables, expressions, single-variable equations and basic polynomial work.
8 skill topics sit under Elementary Algebra on the ACT Math taxonomy. Each one has its own dedicated page with concept notes and six worked practice questions. Work through the list top to bottom, or jump straight to the topic you struggle with.
This category accounts for a meaningful slice of your overall math score, so spend the time. The fastest way to gain points is to convert one weak topic per week into a strong one — not to skim every topic at surface depth.
Need the formulas at a glance? See the Elementary Algebra formula sheet. Studying for a specific score range? Use the score-band guides to focus on the topics that move the needle for your current score.
All Elementary Algebra topics
Algebraic Expressions
Combine like terms, evaluate expressions and translate verbal descriptions into algebra.
Open topic
Solving Linear Equations
Use inverse operations to isolate the variable and verify the solution.
Open topic
Multi-Step Equations
Distribute, combine and isolate when an equation includes parentheses or fractions.
Open topic
One-Variable Inequalities
Solve and graph linear inequalities, remembering to flip the sign when multiplying by a negative.
Open topic
Polynomials (Basic)
Add, subtract and multiply polynomials and identify like terms.
Open topic
Basic Factoring
Factor out the greatest common factor and factor simple trinomials of the form x² + bx + c.
Open topic
Substitution and Evaluation
Substitute given values for variables and simplify the resulting numeric expression.
Open topic
Elementary Word Problems
Translate everyday situations — age, money, mixture — into a single-variable equation.
Open topic
Recommended study order
If this category is brand new to you, start with the first three topics in the list above — they tend to be the most foundational. Then work outward to the others. If you're already comfortable, go straight to a recent past paper, identify which Elementary Algebra question you missed, and drill that specific topic page.
For broader test-prep advice, see our study tips. For real test reference, browse the ACT Math past paper index.