# Ch 17: PSAT Math: Equations and Expressions

### About This Chapter

## PSAT Math: Equations and Expressions - Chapter Summary

Our video lessons help you comprehend the math equations and expressions concepts that may appear on the PSAT math test. These video lessons cover:

- Writing linear equations
- How to use a system of equations and solve quadratic equations
- Multiplying binomials using FOIL and area methods
- Adding, subtracting and multiplying polynomials
- Understanding direct and inverse variations
- Solving an absolute value equation.

We present the math equations and expressions concepts in straightforward, short videos to that will help you work toward a good score on the PSAT math test. There are also quizzes that accompany the video lessons that were created to give you immediate feedback. This feedback shows you which areas you may be struggling with.

### PSAT Math Objectives

The PSAT Math test features two sections that last 25-minutes each. Across both sections, you're required to complete ten grid-ins, or student-produced response questions, and 28 multiple-choice questions. The four math categories represented on the PSAT include:

- Algebra and functions
- Data analysis, statistics and probability
- Geometry and measurement
- Numbers and operation

The main purpose of the PSAT is to help you determine whether or not you are ready to sit for the SAT. You will also get a feel for the SAT's format and receive feedback for your trouble areas. The National Merit Scholarship Corporation (NMSC) cosponsors the PSAT. By taking the PSAT, you gain access to use the college and career planning resources offered through the NMSC. If you score high on the PSAT, you may be selected to participate in an NMSC scholarship program.

### 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.

### 8. Solving Equations by Graphing on a Graphing Calculator

One of the most useful aspects of having a graphing calculator is to be able to use it to solve equations. However, the word 'solve' has multiple potential meanings, as this lesson will demonstrate.

### 9. How to Solve a System of Linear Equations in Two Variables

Watch this video lesson to learn how you can solve a system of linear equations in two variables by using the substitution method. Learn how easy it is to use on any linear system in two variables.

### 10. How to Solve a System of Equations by Graphing

Watch this video lesson to learn how you can solve a system of equations by graphing. Learn when you have a solution and when you don't. Also learn how easy the solution is to spot.

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### Other Chapters

Other chapters within the PSAT Prep: Practice & Study Guide course

- PSAT: About the Test
- PSAT Writing: About the Writing & Language Test
- PSAT Writing: Sentence Clarity and Structure
- PSAT Writing Usage & Punctuation
- Word Use & Expressions in Writing
- Argument & Evidence Analysis in Writing
- About the PSAT Reading Test
- PSAT Reading: Reading Passages
- PSAT Reading: Understanding Reading Passages
- PSAT Reading: Interpretation & Analysis of Text
- Analyzing Data & Graphs in a Reading Passage
- PSAT Reading: Literary Terms
- Important U.S. Documents & Speeches
- Analyzing Words in Context while Reading
- PSAT Math: About the Math Test
- PSAT Math: Numbers and Operations
- PSAT Math: Quadratic Equations
- PSAT Math: Exponents
- PSAT Math: Rational Equations and Expressions
- PSAT Math: Inequalities
- PSAT Math: Functions
- PSAT Math: Ratios, Rates & Proportion
- PSAT Math: Geometry and Measurement
- PSAT Math: Triangles & Trigonometric Ratios
- PSAT Math: Data Analysis, Statistics and Probability
- PSAT Prep Flashcards