Ch 12: GACE Math: Linear Equations

About This Chapter

The online video lessons in this chapter cover linear equations. Peruse the material in preparation for answering related questions on the GACE Math assessment.

GACE Math: Linear Equations - Chapter Summary

Prepare to take the GACE Math examination by reviewing linear equations. When you watch the online videos in this chapter, you'll examine the process of writing and graphing linear equations. For example, you can get a fresh perspective on graphing undefined and zero slope equations. Scrutinize various principles that you can use to help you solve equations. Check out the video lessons for help with:

  • Changing equations from intercept to standard form
  • Applying the intercept of lines
  • Graphing lines that have a positive slope
  • Understanding point-slope form
  • Remembering keywords for creating equations from word problems
  • Using the addition and multiplication principles
  • Defining and combining like terms
  • Identifying the differences between equations with no solutions and those with infinite solutions
  • Solving problems that require multiple steps

These educational lessons can be used as a study tool. They may enhance the likelihood that you'll correctly answer questions on linear equations when taking the GACE Math examination. Go over concepts that you've previously studied and maybe learn something new. The lessons are presented by well-informed instructors of whom you may ask questions on linear equations. The videos are followed by short quizzes that test your cognition and proficiency.

11 Lessons in Chapter 12: GACE Math: Linear Equations
Test your knowledge with a 30-question chapter practice test
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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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