Ch 25: SAT Math: Equations and Expressions
About This Chapter
SAT Math: Equations and Expressions - Chapter Summary
The largest portion of the math SAT addresses algebra functions. Prepare by taking advantage of our user-friendly video lessons that cover essential topics:
- Linear equations
- Absolute value
- Systems of equations
- Direct and inverse variations
- Exponential equations
- Quadratics formula and equations
- Multiplication of binomials with FOIL and area methods
- Polynomials
- Complete the square
As you make your way through the short video lessons, make sure that you also complete the quick quizzes. Then you'll know if you're ready to go on to the next chapter or if there are topics you should review first.
SAT Math Objectives
At least 35% of the math test, composed of 58 questions over 80 minutes, analyzes your algebra skills. The SAT topics tested in this area include the following:
- Exponents
- Simplifying and substituting
- Linear equations and inequalities
- Algebraic word problems
- Quadratic equations
- Radical and rational equations
- Absolute value
- Inverse and direct variation
- Equations of lines
- Algebraic functions concepts
By completing our review in this chapter, you'll address all of the topics listed above. Complete the accompanying exercises for additional practice in solving absolute value, using FOIL and the area method in multiplying binomials and in completing the square. By the time you take the quizzes, you should be ready for some positive feedback.
You may use an approved model of calculator on test day for the calculator section. There is also a no-calculator section. You don't lose any points for incorrect answers in responses, nor for questions you choose not to answer. Your raw score then converts into a scaled score ranging from 200-800. If you earn around 500, you'll know that your score was similar to the national average for SAT math test takers.
1. What is a Linear Equation?
Most cars won't be able to run for more than 250,000 miles, so how much longer will your car live? Linear Equations are the most basic kind of algebraic function and can help you answer questions exactly like this. Learn about what they look like, how they come up in your life and why they are powerful tools.
2. How to Write a Linear Equation
Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.
3. Linear Equations: Intercepts, Standard Form and Graphing
Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.
4. What is a System of Equations?
So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.
5. How Do I Use a System of Equations?
There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.
6. Direct and Inverse Variation Problems: Definition & Examples
In this lesson, you'll learn how to approach questions about direct and inverse variation with a simple explanation of what the terms mean and how to apply them to problems.
7. How to Solve Exponential Equations
Read this lesson to learn the steps you need to take to solve exponential equations. You'll see that it's not too difficult; you just need to make use of one other mathematical operation in order to solve your problems.
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Other Chapters
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: Rational Equations and Expressions
- SAT Math: Inequalities
- 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
