Ch 20: Overview of Concepts in Algebra

About This Chapter

Review concepts in algebra at your own pace and on any mobile device or computer when you access this engaging chapter. In order to help you catch up in class or study for a test, our professional instructors put together these user-friendly videos and multiple-choice quizzes for your study sessions.

Overview of Concepts in Algebra - Chapter Summary

This engaging chapter provides an overview of concepts in algebra in bite-sized video lessons you can access at any time. Some of the subjects our experts cover here include linear equations and the process of solving them using substitution and graphing. After you complete this chapter, you should be able to:

  • Complete practice problems involving linear equations
  • Write an augmented matrix for a linear system
  • Answer problems involving linear inequalities
  • Solve an absolute value equation
  • Graph an absolute value inequality
  • Solve one-step and multi-step algebraic equations in word problems
  • Practice your understanding of conic sections

You don't need to stress about reviewing these concepts, as this chapter is designed to boost your confidence as you learn. Our video lessons are less than ten minutes long, coupled with self-assessment quizzes, and created by instructors who know how to effectively present this material. You're welcome to contact one of them with any questions that come up as you move through the chapter.

11 Lessons in Chapter 20: Overview of Concepts in Algebra
Test your knowledge with a 30-question chapter practice test
What is a Linear Equation?

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.

Solving Linear Equations: Practice Problems

2. 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.

Solving Linear Equations With Substitution

3. Solving Linear Equations With Substitution

Solving for the unknowns in a set of linear equations is a common task in math, science and engineering. In this lesson, we look at the substitution method as a systematic approach to finding the unknown values.

How to Solve Linear Equations By Graphing

4. How to Solve Linear Equations By Graphing

This lesson will give a quick review of systems of linear equations and their solutions. We will then look at taking an example through a step-by-step process that allows us to solve a system of linear equations by graphing.

How to Write an Augmented Matrix for a Linear System

5. How to Write an Augmented Matrix for a Linear System

Watch this video lesson to learn how you can turn your system of equations into matrix form. The matrix form is another way of writing your linear system that is sometimes easier to work with.

Linear Inequality: Solving, Graphing & Problems

6. 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.

How to Solve an Absolute Value Equation

7. How to Solve an Absolute Value Equation

Once you get familiar with any new operation, the next step in any algebra class is to learn how to solve equations with that operation in them. Absolute values are no different. Solve absolute value equations here!

How to Solve and Graph an Absolute Value Inequality

8. How to Solve and Graph an Absolute Value Inequality

Taking two skills and combining them to make a more complicated problem is a classic tactic in mathematics. If you feel confident with absolute values and inequalities, see if you can tackle them with their powers combined here!

How to Solve One-Step Algebra Equations in Word Problems

9. How to Solve One-Step Algebra Equations in Word Problems

Word problems may be considered the most evil math invention ever, but never fear! Just watch this video lesson and you will know how to methodically translate these word problems into simple math and then to solve it.

How to Solve Multi-Step Algebra Equations in Word Problems

10. How to Solve Multi-Step Algebra Equations in Word Problems

After watching this video lesson, you will be able to solve word problems like a pro. Learn how to setup your problem, write your equations and then solve your equations to find your answer.

Practice with the Conic Sections

11. Practice with the Conic Sections

Conic sections are shapes created by cutting through a 3D cone. In this lesson, learn how to identify each conic section from its graph and characteristic equation.

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 ILTS Elementary Education (Grades 1-6) (197-200, 305): Practice & Study Guide course

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