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Ch 7: HSPT Test: Solving & Graphing Inequalities

About This Chapter

Use the material in our Solving & Graphing Inequalities chapter to help you prepare for the HSPT test. The information and practice will help you sharpen your math skills so that you can answer math questions on the test effectively.

HSPT Test: Solving & Graphing Inequalities - Chapter Summary

Find out what inequalities are, how to work with them and why they matter as you review these lessons during your HSPT study sessions. The video lessons cover the following material:

  • Inequalities and systems of inequalities
  • Graphing one- and two-variable inequalities
  • Compound inequalities and set notation
  • Absolute value inequalities
  • Writing math sentences as inequalities
  • Solving one- and two-step linear inequalities

Our videos make review easy and fun. Well written and brightly presented, they give you comprehensive information in small doses so that you are never bored or overwhelmed. Each lesson has a short quiz to help you remember the material, and our instructors are available to answer questions if your need help.

HSPT Test: Solving & Graphing Inequalities Chapter Objectives

The HSPT test is given to eighth-grade students to evaluate their knowledge and skills prior to entering specific Catholic high schools. The test covers reading, verbal, quantitative, mathematics and language skills. The lessons in this chapter are designed to help you prepare for the mathematics section of the test, which contains about 64 questions.

This is a paper-based test with 298 multiple-choice questions in all. You will need to read each question carefully, and choose the correct answer from the options given.

9 Lessons in Chapter 7: HSPT Test: Solving & Graphing 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 HSPT Test: Practice & Study Guide course

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