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Ch 31: GACE Middle Grades Math: Inequalities

About This Chapter

If you'll be taking the GACE Middle Grades Mathematics assessment, check out this chapter's lessons on inequalities. Our fun videos and self-assessment quizzes will refresh and strengthen your skills in solving inequalities.

GACE Middle Grades Math: Inequalities - Chapter Summary

Watch this chapter's video lessons to prepare for the questions on inequalities that will appear on the GACE Middle Grades Mathematics assessment. These lessons will get you ready to perform the following tasks by test day:

  • Graph one- and two-variable inequalities
  • Define compound inequalities and systems of inequalities
  • Understand set notation
  • Solve and graph absolute value inequalities
  • Convert math sentences into inequalities
  • Solve one- and two-step linear inequalities

Our professional instructors explain what inequalities are and take you step-by-step through the process of solving and graphing these equations. The videos are brief, fun and loaded with graphics and example problems to help you grasp the material. Best of all, our lessons -- which include transcripts and quizzes -- are available to view on your mobile devices.

GACE Middle Grades Math: Inequalities Chapter Objectives

The GACE Middle Grades Mathematics assessment evaluates your readiness to earn math teacher certification in the state of Georgia. A computerized exam, it contains 45 selected-response questions that are similar to the ones you'll get asked on our multiple-choice lesson quizzes.

The questions on inequalities are part of the GACE assessment's arithmetic and algebra subarea, which makes up 65% of the test. The rest of the exam is devoted to geometry and data concepts.

9 Lessons in Chapter 31: GACE Middle Grades Math: Inequalities
Test your knowledge with a 30-question chapter practice test
What is an Inequality?

1. What is an Inequality?

Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!

How to Graph 1- and 2-Variable Inequalities

2. How to Graph 1- and 2-Variable Inequalities

So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!

Set Notation, Compound Inequalities, and Systems of Inequalities

3. Set Notation, Compound Inequalities, and Systems of Inequalities

In this lesson, we'll explore the conditions of compound inequalities and learn how to express them using set notation and interval notation. Test you knowledge afterward with a short quiz.

Graphing Inequalities: Practice Problems

4. Graphing Inequalities: Practice Problems

If you're already pretty familiar with what inequalities are and just looking for a place to practice your skills, this is the place. This lesson covers topics like 1-variable, 2-variable, compound, and systems of inequalities.

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.

Translating Math Sentences to Inequalities

7. Translating Math Sentences to Inequalities

Watch this video lesson to learn how you can easily translate math sentences into inequalities. Once you know how to do this, solving word problems becomes that much easier.

Solving One-Step Linear Inequalities

8. Solving One-Step Linear Inequalities

In this video lesson, you will learn how you can solve any kind of linear inequality that only requires one step. Learn when you need to subtract, when you need to add, when you need to multiply, and when you need to divide.

Solving Two-Step Linear Inequalities

9. Solving Two-Step Linear Inequalities

After watching this video lesson, you will be able to solve any kind of linear inequality problem where you only have to perform two steps. You will know in what order to perform each step and you will know just what kind of operation you need to do.

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 Middle Grades Mathematics (013): Practice & Study Guide course

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