Ch 14: TACHS: Inequality Practice

About This Chapter

Use the short video lessons in this chapter to practice working with inequalities as you study for the TACHS test in New York. Self-assessment quizzes are available to gauge your understanding of the lessons.

TACHS: Inequality Practice - Chapter Summary

This comprehensive overview of inequalities gives you the practice you need to competently answer questions on the TACHS test. After exploring the lessons, you will be prepared to:

  • Define inequality and graph 1- and 2-variable inequalities
  • Analyze set notation, compound inequalities and systems of inequalities
  • Practice graphing inequalities
  • Solve and graph and absolute inequality
  • Translate math sentences to inequalities
  • Discover how to solve 1- and 2-step linear inequalities

You can tailor the lessons to meet your specific studying needs. Review them often and in any sequence you choose. If you have any questions about lesson topics, submit them to our experts.

TACHS: Inequality Practice Chapter Objectives

The TACHS test is required of students interested in gaining admission to Catholic high schools in the Diocese of Brooklyn/Queens and the Archdiocese of New York. It consists of four sections that evaluate students' comprehension of reading, math, ability and language. For admission in a given school year, you will be required to take the exam in November of the previous year.

Review the lessons in this chapter to brush up on your knowledge of inequalities, which will prepare you for questions in the math section of the test. Self-assessment quizzes in this chapter can reinforce the lessons while giving you access to questions similar to the multiple-choice questions found on the test.

9 Lessons in Chapter 14: TACHS: Inequality Practice
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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