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Ch 9: ELM Test - Algebra: Absolute Value Equations & Inequalities

About This Chapter

Review absolute value equations and inequalities in preparation for the ELM, CSU's math placement exam. This chapter covers systems of linear equations and equations involving the absolute value.

ELM Algebra: Absolute Value Equations & Inequalities - Chapter Summary

Review for the ELM Math by learning the basics of absolute value equations and inequalities. The online video lessons in this chapter cover the follow mathematical topics:

  • Solve linear equations (with both numerical and literal coefficients)
  • Solve problems in context that are modeled by linear equations
  • Solve systems of linear equations in two unknowns
  • Solve equations involving absolute value (in one variable)

Watch the videos in this chapter to brush up on these important algebraic concepts. Then test your knowledge with an online quiz.

ELM Objectives

The ELM is a math proficiency exam required for all incoming students to schools in the California State University system. You can learn more about the topics on the ELM here.

This Absolute Value Equations & Inequalities chapter is just one part of this course focused on Algebra. Approximately 35% of the ELM is devoted to algebra-based objectives. This chapter is best suited for the following objectives:

  • Solve equations involving absolute value (in one variable)
  • Solve inequalities involving absolute value (in one variable)

Other chapters in this course address other Algebra-based objectives, including:

  • Evaluate and interpret algebraic expressions
  • Use properties of exponents
  • Perform polynomial arithmetic (add, subtract, multiply, divide and factor)
  • Solve problems in context that are modeled by linear equations
  • Solve quadratic and rational equations
  • Find and use slopes and intercepts of lines

Understanding the concepts taught in this chapter will provide you with a solid foundation for the ELM Math.

6 Lessons in Chapter 9: ELM Test - Algebra: Absolute Value Equations & Inequalities
Test your knowledge with a 30-question chapter practice test
What is an Absolute Value?

1. What is an Absolute Value?

When we're talking and comparing numbers, we often don't care whether its positive or negative, just how big it is. This is often called the magnitude of a number and we find it by taking the absolute value. Learn all about it here!

How to Evaluate Absolute Value Expressions

2. How to Evaluate Absolute Value Expressions

Substituting values into absolute values doesn't have to be too hard, but it can be if you're given deceiving beginning information. See if you're up to it by checking out this video!

How to Solve an Absolute Value Equation

3. 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!

Solving Absolute Value Practice Problems

4. Solving Absolute Value Practice Problems

There are many easy mistakes to make when solving absolute value equations. Learn how to avoid those mistakes here by working on examples of absolute value equations with operations on the inside and the outside of the absolute value.

How to Solve and Graph an Absolute Value Inequality

5. 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!

Solving and Graphing Absolute Value Inequalities: Practice Problems

6. Solving and Graphing Absolute Value Inequalities: Practice Problems

Solving and graphing absolute value inequalities brings a lot of different skills together in one place. The practice problems in this video will give you a good chance to see more examples of absolute value inequalities but will also test your general algebraic knowledge.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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