About This Chapter
SAT Math: Inequalities - Chapter Summary
Prepare for the math portion of your SAT by reviewing the fundamentals of inequalities. Go over the following basic concepts:
- Define inequalities
- Work with set notation, systems of inequalities and compound inequalities
- Graph 1- and 2-variable inequalities
- Solve and graph absolute value inequalities
Watch the user-friendly videos and complete the practice exercises for solving and graphing inequalities. Finish with the quick quizzes to check your progress.
SAT Math Objectives
You'll answer 58 math questions on the SAT. Your exam's algebra and functions questions form 35%-40% of the math test. Demonstrate your understanding of the following topics:
- Solutions of linear equations and inequalities
- Simplification and substitution in algebraic expressions
- Exponent properties
- Quadratic equations
- Radical and rational equations
- Equations of lines
- Absolute value
- Inverse and direct variation
- Concepts of algebraic functions
- Newly-defined symbols based on commonly used operations
- Systems of inequalities and equations
These lessons allow you to study and practice working with inequalities in preparation for the SAT math. On the SAT, you'll earn one point for each correct answer. You won't lose any points for incorrect choices or for unanswered questions. Your scaled score will range from 200-800, with about a 500 indicating that you've scored around the national average.
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. 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.
3. 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!
4. 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!
5. 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.
6. 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.
7. 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.
8. 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 within the SAT Prep: Practice & Study Guide course
- SAT: About the Test
- SAT Writing: About the Writing Section
- SAT Writing: Text & Argument Analysis
- SAT Writing: Word Choice & Expression
- SAT Writing: Standard English Grammar
- SAT Writing: Writing & Language Test Practice
- SAT Writing: The Essay Portion
- SAT Writing: Planning and Writing Your Essay
- SAT Writing: Parts of an Essay
- SAT Writing: Sentence Clarity and Structure
- SAT Writing: Essay Writing Skills
- SAT Writing: How to Write An Argument
- SAT Writing: Supporting Your Writing
- SAT Writing: Revising Your Writing
- SAT Reading: About the Reading Section
- SAT Reading: Reading Passages
- SAT Reading: Understanding Reading Passages
- SAT Reading: Interpreting & Analyzing Text
- SAT Reading: Literary Terms
- SAT Reading: US Documents & Speeches
- SAT Vocabulary Practice
- SAT Math: About the Math Section
- SAT Math: Numbers and Operations
- SAT Math: Exponents
- SAT Math: Equations and Expressions
- SAT Math: Rational Equations and Expressions
- SAT Math: Functions
- SAT Math: Quadratic Equations
- SAT Math: Ratios, Rates & Proportional Relationships
- SAT Math: Unit Rate & Measurement Conversions
- SAT Math: Geometry and Measurement
- SAT Math: Triangles & Trigonometric Ratios
- SAT Math: Data Analysis, Statistics and Probability
- SAT Flashcards