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Ch 4: Overview of Basic Algebra

About This Chapter

Refresh your understanding of basic algebra with help from the lessons in this engaging chapter. This comprehensive study guide is comprised of user-friendly video and text lessons that clearly outline these math concepts so you can prepare for a test or finish your homework.

Overview of Basic Algebra - Chapter Summary

In this informative chapter, our instructors provide an overview of basic algebra. Topics covered in these interesting lessons include adding and subtracting rational numbers and simplifying and expanding algebraic expressions. You'll also see how to translate words to algebraic expressions. After completing this chapter, you should be ready to:

  • Explain what a linear equation is
  • Discuss standard form and intercepts of linear equations and to graph them
  • Define point-slope form
  • Write and solve a linear equation correctly
  • Graph linear inequalities
  • Complete practice linear inequality problems
  • Solve systems of linear equations in two variables

In this chapter, you'll find mobile-friendly resources that have been written by expert instructors to help you fully understand these math concepts. You can either watch an entire video lesson for review or skip to a specific section using the video tabs feature in the Timeline. As a great way to prepare for a test, take the lesson quizzes and chapter test to see how well you've understood this material.

11 Lessons in Chapter 4: Overview of Basic Algebra
Test your knowledge with a 30-question chapter practice test
How to Add and Subtract Rational Expressions

1. How to Add and Subtract Rational Expressions

Adding and subtracting rational expressions brings everything you learned about fractions into the world of algebra. We will mix common denominators with factoring and FOILing.

Expanding & Simplifying Algebraic Expressions

2. Expanding & Simplifying Algebraic Expressions

In this lesson, you will learn how to use algebraic operations to expand and simplify expressions with one variable. You will also gain an understanding of how algebraic expressions can be used in real-life.

Translating Words to Algebraic Expressions

3. Translating Words to Algebraic Expressions

When it comes to word problems, the easiest way to solve them is to look for keywords and change them into math symbols. Watch this video lesson to find out what keywords you should look for and what math symbols they represent.

What is a Linear Equation?

4. 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.

Linear Equations: Intercepts, Standard Form and Graphing

5. 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.

Point-Slope Form: Definition & Overview

6. Point-Slope Form: Definition & Overview

A linear equation is an algebraic equation that, when graphed, creates a straight line. The point-slope form is one way to write a linear equation. This lesson will teach you how to write a linear equation in point-slope form and give you some examples.

How to Write a Linear Equation

7. 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.

Solving Linear Equations: Practice Problems

8. Solving Linear Equations: Practice Problems

With practice, linear equations can be straightforward to solve. In this lesson, we'll define linear equations and learn how to solve them. We'll look at multiple practice problems and walk through solving each one.

Linear Inequality: Solving, Graphing & Problems

9. Linear Inequality: Solving, Graphing & Problems

If you can solve linear equations, you can solve linear inequalities. In this lesson, you will learn how similar the solving processes are. You will also learn the notations you need to use when graphing linear inequalities.

Solving Linear Inequalities: Practice Problems

10. Solving Linear Inequalities: Practice Problems

Linear inequalities may look intimidating, but they're really not much different than linear equations. In this lesson, we'll practice solving a variety of linear inequalities.

How to Solve a System of Linear Equations in Two Variables

11. How to Solve a System of Linear Equations in Two Variables

Watch this video lesson to learn how you can solve a system of linear equations in two variables by using the substitution method. Learn how easy it is to use on any linear system in two variables.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the GACE Special Education Mathematics & Science (088): Practice & Study Guide course

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