ACT Math

A comprehensive course covering the essential math concepts and strategies needed to excel on the ACT.

Numbers, Operations, and Number PropertiesAlgebraic Expressions and EquationsGeometry Fundamentals
Functions and GraphsSystems of Equations and InequalitiesProbability, Statistics, and Data Interpretation
Math in Everyday LifeCareers That Use MathMath in Sports and Games
Time Management and PacingPlugging In and Answer Choice StrategiesReading and Translating Word Problems
Numbers, Operations,...Algebraic Expression...Geometry Fundamental...Functions and GraphsSystems of Equations...Probability, Statist...Math in Everyday Lif...Careers That Use Mat...Math in Sports and G...Time Management and ...Plugging In and Answ...Reading and Translat...
Basic Concepts

Algebraic Expressions and Equations

The Language of Algebra

Algebra is everywhere on the ACT. It helps you describe patterns, solve puzzles, and make predictions.

Expressions vs. Equations

  • Expression: A combination of numbers, variables, and operations (like \( 2x + 5 \))
  • Equation: Two expressions separated by an equal sign (like \( 2x + 5 = 11 \))

Simplifying and Solving

You’ll need to:

  • Combine like terms
  • Use the distributive property
  • Solve for \( x \) or another variable

Real-World Connections

Algebra helps you predict costs, compare plan options, and understand formulas in science and statistics.

ACT Tip

If you’re stuck, try plugging in answer choices to check which one works.

Examples

  • Solving: \( 3x + 7 = 16 \Rightarrow 3x = 9 \Rightarrow x = 3 \)

  • Simplifying: \( 2(x + 4) - x = 2x + 8 - x = x + 8 \)

In a Nutshell

Algebra lets you solve for the unknown and is essential for many ACT questions.

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Geometry Fundamentals