# Ch 11: SBA Math - Grade 8: Inequalities

### About This Chapter

## SBA Math - Grade 8: Inequalities - Chapter Summary

Before they take the 8th grade SBA in mathematics, your students can use our video lessons to review solving and graphing inequalities. These are important skills they'll need to feel confident answering certain kinds of questions on the examination. Once your 8th graders study this chapter, they will be able to do the following:

- Graph 1- and 2-variable inequalities
- Use set notation to describe compound inequalities
- Graph inequalities and systems of inequalities
- Solve and graph absolute value inequalities
- Translate math sentences to inequalities
- Solve one- and two-step inequalities

Our professional instructors simplify concepts and guide students through every stage of solving or graphing inequality problems. The videos contain several examples and graphics to help 8th graders grasp the material thoroughly, which will allow them to apply their knowledge of inequalities to more complex problems on the SBA.

### 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. How to Find the Distance Between Two Points

After watching this video lesson, you will be able to find the distance between any two points on the coordinate plane. Learn what information you and how to plug them in to your formula.

### 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 Smarter Balanced Assessments - Math Grade 8: Test Prep & Practice course

- SBA Math - Grade 8: Basic Arithmetic Operations
- SBA Math - Grade 8: Logic & Mathematical Reasoning
- SBA Math - Grade 8: Number Theory
- SBA Math - Grade 8: Introduction to Fractions
- SBA Math - Grade 8: Operations with Fractions
- SBA Math - Grade 8: Ratios, Rates & Proportions
- SBA Math - Grade 8: Percents
- SBA Math - Grade 8: Introduction to Decimals
- SBA Math - Grade 8: Operations with Decimals
- SBA Math - Grade 8: The Coordinate Graph
- SBA Math - Grade 8: Factoring
- SBA Math - Grade 8: Rational Numbers
- SBA Math - Grade 8: Roots & Radical Expressions
- SBA Math - Grade 8: Exponents & Exponential Expressions
- SBA Math - Grade 8: Basic Algebraic Expressions
- SBA Math - Grade 8: Writing Algebraic Expressions
- SBA Math - Grade 8: Algebraic Distribution
- SBA Math - Grade 8: Rational Expressions
- SBA Math - Grade 8: Linear Equations
- SBA Math - Grade 8: Systems of Linear Equations
- SBA Math - Grade 8: Properties of Functions
- SBA Math - Grade 8: Graphing Functions
- SBA Math - Grade 8: Symmetry, Similarity & Congruence
- SBA Math - Grade 8: Lines & Angles
- SBA Math - Grade 8: Perimeter & Area
- SBA Math - Grade 8: Surface Area & Volume of Geometric Solids
- SBA Math - Grade 8: Triangles
- SBA Math - Grade 8: Triangle Theorems & Proofs
- SBA Math - Grade 8: Similar Polygons
- SBA Math - Grade 8: The Pythagorean Theorem
- SBA Math - Grade 8: Transformations
- SBA Math - Grade 8: Data & Graphs
- SBA Math - Grade 8: Statistics
- SBA Math - Grade 8: Probability
- SBA Math - Grade 8: Rate of Change
- Smarter Balanced Assessments - Math Grade 8 Flashcards