# Ch 21: ACT Math: Linear Equations

### About This Chapter

## ACT Math: Linear Equations - Chapter Summary

Linear equations with one variable are an important pre-algebra concept, and our lessons include the following topics:

- Defining linear equations
- Writing linear equations
- Linear equations: intercepts, standard form and graphing
- Defining and using a system of equations

This chapter reviews the concepts listed above, to help ensure your success on the ACT math test. The short videos present the material in a fun and engaging manner, and the quizzes give you immediate feedback to see how you're doing.

### ACT Math Objectives

You can demonstrate readiness for college-level math courses through successful completion of the ACT math test. The math section contains 60 multiple-choice questions and has a 60-minute time limit. Six content areas are included:

- Pre-Algebra
- Elementary Algebra
- Intermediate Algebra
- Plane Geometry
- Coordinate Geometry
- Trigonometry

The questions check your reasoning skills in solving practical mathematical problems. The pre-algebra/elementary algebra part of the math test contains 24 questions. Most of the problems are distinct, but some may belong to sets of several questions. All of the problems are solvable without calculators, but you may use permitted models. Check the ACT student website for details about calculator use. Your score report for the math test includes four parts: a total test score, in addition to sub-scores in pre-algebra/elementary algebra, intermediate algebra/coordinate geometry and plane geometry/trigonometry.

### 1. What is a Linear Equation?

Most cars won't be able to run for more than 250,000 miles, so how much longer will your car live? Linear Equations are the most basic kind of algebraic function and can help you answer questions exactly like this. Learn about what they look like, how they come up in your life and why they are powerful tools.

### 2. How to Write a Linear Equation

Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.

### 3. Linear Equations: Intercepts, Standard Form and Graphing

Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.

### 4. Problem solving using Linear Equations

From sale prices to trip distances, many real life problems can be solved using linear equations. In this lesson, we'll practice translating word problems into linear equations, then solving the problems.

### 5. What is a System of Equations?

So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.

### 6. How Do I Use a System of Equations?

There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.

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### Other Chapters

Other chapters within the ACT Prep: Practice & Study Guide course

- ACT: About the Test
- ACT English: Section Overview
- ACT English: Punctuation
- ACT English: Grammar and Usage
- ACT English: Sentence Structure
- ACT English: Production of Writing
- ACT English: Style
- ACT Writing: Overview
- ACT Writing: Essay Skills
- ACT Reading: Overview
- ACT Reading: Question Types
- ACT Reading: Understanding Reading Passages
- ACT Reading: Analyzing Reading Passages
- ACT Reading: Word Meanings and Choice
- ACT Reading: Practice
- ACT Math: Overview
- ACT Math: Number & Quantity
- ACT Math: Pre-Algebra
- ACT Math: Algebraic Expressions
- ACT Math: Radicals
- ACT Math: Functions
- ACT Math: Types of Functions
- ACT Math: Absolute Value
- ACT Math: Matrices
- ACT Math: Inequalities
- ACT Math: Probability, Combinations & Factorial
- ACT Math: Data and Statistics
- ACT Math: Exponents
- ACT Math: Polynomials and Quadratics
- ACT Math: Rational Equations and Expressions
- ACT Math: Sequences
- ACT Math: Complex Numbers
- ACT Math: Exponentials and Logarithms
- ACT Math: Coordinate Geometry
- ACT Math: Conic Sections
- ACT Math: Triangles
- ACT Math: Plane Geometry
- ACT Math: Lines and Angles
- ACT Math: Trigonometry
- ACT Science Reasoning: Overview
- ACT Science Reasoning: Fundamentals of Science
- ACT Science Reasoning: Evaluating Models
- ACT Prep Flashcards