# Ch 23: AEPA Middle Grades Math: Inequalities

### About This Chapter

## AEPA Middle Grades Math: Inequalities - Chapter Summary

Review what an inequality is and how to solve and graph them as you get ready for the AEPA Middle Grades Math test. This chapter's video lessons will give you information and practice that will prepare you for exam questions on the following:

- Defining an inequality
- Graphing 1- and 2-variable inequalities
- Working with set notation, compound inequalities and systems of inequalities
- Solving and graphing absolute value inequalities
- Translating math sentences to inequalities
- Solving 1- and 2-step linear inequalities

Our expert instructors know how to help you prepare for the exam, with fun lessons on important topics. You'll get a chance to work practice problems with inequalities and can complete the lessons at your own pace.

## Objectives of the AEPA Middle Grades Math: Inequalities Chapter

Anyone who wants to teach middle grades mathematics in Arizona must have their competency assessed through the AEPA Middle Grades Math exam, which includes questions on number sense, algebra, measurement, statistics and probabilities. Questions regarding inequalities are in the Algebra and Functions section of the exam, and this section makes up 33% of the 150 total questions.

All questions are multiple choice, and ask you to solve a problem or answer a question by choosing from four possible options. The self-assessment quizzes at the end of each lesson in this chapter will give you good practice in answering these types of questions.

### 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!

### 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!

### 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.

### 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.

### 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!

### 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.

### 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.

### 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.

### 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.

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### Other Chapters

Other chapters within the AEPA Middle Grades Mathematics (NT203): Practice & Study Guide course

- AEPA Middle Grades Math: Basic Arithmetic Operations
- AEPA Middle Grades Math: Solving Word Problems
- AEPA Middle Grades Math: Properties of Numbers
- AEPA Middle Grades Math: Estimating & Rounding
- AEPA Middle Grades Math: Number Theory
- AEPA Middle Grades Math: Roots & Radical Expressions
- AEPA Middle Grades Math: Exponents & Exponential Expressions
- AEPA Middle Grades Math: Scientific Notation
- AEPA Middle Grades Math: Simplifying Expressions
- AEPA Middle Grades Math: Integers
- AEPA Middle Grades Math: Rational Numbers
- AEPA Middle Grades Math: Introduction to Fractions
- AEPA Middle Grades Math: Operations with Fractions
- AEPA Middle Grades Math: Introduction to Decimals
- AEPA Middle Grades Math: Operations with Decimals
- AEPA Middle Grades Math: Percents
- AEPA Middle Grades Math: Money & Consumer Math
- AEPA Middle Grades Math: Number Patterns & Sequences
- AEPA Middle Grades Math: Properties of Functions
- AEPA Middle Grades Math: Graphing Functions
- AEPA Middle Grades Math: Negative Numbers
- AEPA Middle Grades Math: Absolute Value
- AEPA Middle Grades Math: Factoring
- AEPA Middle Grades Math: Monomials & Polynomials
- AEPA Middle Grades Math: Writing Algebraic Expressions
- AEPA Middle Grades Math: Basic Algebraic Expressions
- AEPA Middle Grades Math: Algebraic Distribution
- AEPA Middle Grades Math: One-Step Equations
- AEPA Middle Grades Math: Two-Step Equations
- AEPA Middle Grades Math: Rational Expressions
- AEPA Middle Grades Math: The Coordinate Graph
- AEPA Middle Grades Math: Linear Equations
- AEPA Middle Grades Math: Systems of Linear Equations
- AEPA Middle Grades Math: Rates, Ratios & Proportions
- AEPA Middle Grades Math: Measurement
- AEPA Middle Grades Math: Perimeter & Area
- AEPA Middle Grades Math: Polyhedrons & Geometric Solids
- AEPA Middle Grades Math: Symmetry, Similarity & Congruence
- AEPA Middle Grades Math: Properties of Lines
- AEPA Middle Grades Math: Triangles
- AEPA Middle Grades Math: Triangle Theorems & Proofs
- AEPA Middle Grades Math: Similar Polygons
- AEPA Middle Grades Math: The Pythagorean Theorem
- AEPA Middle Grades Math: Quadrilaterals
- AEPA Middle Grades Math: Circles
- AEPA Middle Grades Math: Circular Arcs & Measurement
- AEPA Middle Grades Math: Transformations
- AEPA Middle Grades Math: Data & Graphs
- AEPA Middle Grades Math: Statistics
- AEPA Middle Grades Math: Data Collection
- AEPA Middle Grades Math: Samples & Populations
- AEPA Middle Grades Math: Probability
- AEPA Middle Grades Math: Sets
- AEPA Middle Grades Mathematics Flashcards