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Ch 12: NES Math: Linear Equations

About This Chapter

Let the video lessons, quizzes and other tools in our study guide help you prepare for the NES Math test. You'll get support here so that you can answer test questions on various types of linear equations and the best ways of solving them.

NES Math: Linear Equations - Chapter Summary

Use this chapter's lessons to refresh your knowledge of linear equations and their uses as you review for the NES Math test. Topics covered in our videos include:

  • Intercepts, standard form and graphing in relation to linear equations
  • How to find and apply the slopes and intercepts of a line
  • How to graph undefined slope and zero slope
  • Using point-slope formula for the equation of a line
  • One-step equations
  • How to solve equations with the addition and the multiplication principles
  • Equations that have infinite solutions or no solutions
  • The process of solving multiple-step equations

You can watch these video lessons on a computer, smartphone or tablet, from anywhere you've got Internet access. Every lesson is followed by a short quiz, and the chapter ends with a comprehensive exam. There is a Timeline with clickable video links that make it easy to jump to specific topics in the lesson for review. You can also read along with the instructor through a transcript and print out the quiz questions for offline study.

NES Math: Linear Equations Objectives

The NES Math test is one of the requirements for certification to teach mathematics in five states. The test consists of multiple-choice questions administered by computer. Our lesson quizzes and chapter exams are in this same format, so completing them will give you good practice.

The NES Math test's questions are sectioned into five content domains. Questions on linear equations are in the Patterns, Algebra and Functions content domain. This is the test's largest content domain; it makes up 24% of the total scoring.

11 Lessons in Chapter 12: NES Math: Linear Equations
Linear Equations: Intercepts, Standard Form and Graphing

1. 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.

How to Find and Apply The Slope of a Line

2. How to Find and Apply The Slope of a Line

In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.

How to Find and Apply the Intercepts of a Line

3. How to Find and Apply the Intercepts of a Line

How can you take an equation of a line and find out where it will cross the x- or y-axis? In this lesson, we'll define x-intercepts and y-intercepts and learn how to find them.

Graphing Undefined Slope, Zero Slope and More

4. Graphing Undefined Slope, Zero Slope and More

There are two special cases when it comes to slopes on the xy plane: horizontal and vertical lines. Without any more information, these examples can be pretty confusing. But with a little instruction, they end up being some of the easiest lines to graph!

Equation of a Line Using Point-Slope Formula

5. Equation of a Line Using Point-Slope Formula

It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.

Defining, Translating, & Solving One-Step Equations

6. Defining, Translating, & Solving One-Step Equations

Watch this video lesson to learn how you can write a simple math equation when you are given a word problem. Learn how to translate words into math symbols. Learn the shortcuts to remember.

Solving Equations Using the Addition Principle

7. Solving Equations Using the Addition Principle

In algebra, we have certain principles that we use to help us solve equations quickly and easily. The addition principle is one of them. Watch this video lesson to learn how you can apply it to solve your equations.

Solving Equations Using the Multiplication Principle

8. Solving Equations Using the Multiplication Principle

When it comes to solving equations in algebra, one of the essential skills you need is the ability to multiply. Watch this video lesson to learn how you can use the multiplication principle to isolate your variable.

Collecting Like Terms On One Side of an Equation

9. Collecting Like Terms On One Side of an Equation

When you are using algebra to solve your problems, one of your biggest and most often used methods is that of collecting like terms. Watch this video lesson to see how it is done.

Solving Equations with Infinite Solutions or No Solutions

10. Solving Equations with Infinite Solutions or No Solutions

In algebra, there are two scenarios that give us interesting results. Watch this video lesson to learn how you can distinguish problems that have no answers and problems that have an infinite number of answers.

How to Solve Equations with Multiple Steps

11. How to Solve Equations with Multiple Steps

In algebra, when you want to solve an equation for a particular variable, you will need to perform multiple steps that include adding, subtracting, multiplying, and dividing. Watch this video lesson to learn the order you need to do these steps.

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Other Chapters

Other chapters within the NES Mathematics (304): Practice & Study Guide course

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