Ch 21: TExES Math 4-8: Linear Equations

About This Chapter

This chapter is designed to demonstrate the level of comprehension and competency in linear equations you must show in order to pass the TExES Math 4-8 certification exam. Our one-of-a-kind chapter resources can help you refresh crucial skills.

TExES Math 4-8: Linear Equations - Chapter Summary

Use this chapter to refresh your memory of linear equations before you take the TExES Math 4-8 exam. The videos and text transcripts review the basics of linear equations, including what linear equations are, how to apply the distributive property to linear equations, intercepts, standard form and graphing of linear equations. After you complete this chapter, you should be able to:

  • Work with algebraic examples and going from a graph to a rule
  • Graph undefined zero slope and slope
  • Detail the graphs of parallel and perpendicular lines in linear equations
  • Explain a system of equations
  • Define slope and the formulas used to find it
  • Discuss slopes and rate of change
  • Provide a definition and examples of direct variation
  • Identify the trapezoid rule

You may jump to specific video sections to focus on the concepts that need the most review. Let our experienced instructors guide you through each topic as you prepare for the test. If you need any assistance along the way, reach out to one of our experts through the Dashboard.

11 Lessons in Chapter 21: TExES Math 4-8: Linear Equations
Test your knowledge with a 30-question chapter practice test
What is a Linear Equation?

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.

Applying the Distributive Property to Linear Equations

2. Applying the Distributive Property to Linear Equations

When it comes to linear equations, there are certain steps you have to take to solve them. One of them is the application of the distributive property when you see a pair of parentheses. Watch this video lesson to learn how.

Linear Equations: Intercepts, Standard Form and Graphing

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.

Abstract Algebraic Examples and Going from a Graph to a Rule

4. Abstract Algebraic Examples and Going from a Graph to a Rule

Just because you now know what a linear equation is doesn't mean that you are a master! This video will help you learn how to apply your knowledge of linear equations in more abstract algebraic ways.

Graphing Undefined Slope, Zero Slope and More

5. 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!

Graphs of Parallel and Perpendicular Lines in Linear Equations

6. Graphs of Parallel and Perpendicular Lines in Linear Equations

When we deal with linear equations, we sometimes come across equations that are parallel to each other or perpendicular to each other. You will see what they look like when graphed in this video lesson.

What is a System of Equations?

7. 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.

What is Slope? - Definition & Formulas

8. What is Slope? - Definition & Formulas

The slope is a measure of the steepness of a line, or a section of a line, connecting two points. In this lesson, you will use several different formulas for slope and learn how those formulas relate to the steepness of a line.

Slopes and Rate of Change

9. Slopes and Rate of Change

If you throw a ball straight up, there will be a point when it stops moving for an instant before coming back down. Consider this as we study the rate of change of human cannonballs in this lesson.

Direct Variation: Definition, Formula & Examples

10. Direct Variation: Definition, Formula & Examples

What is the relationship between the distance a car travels when cruise control is activated and the amount of money you have in the bank when you save regularly? Both are examples of direct variation. Learn more about direct variation in this lesson.

What is the Trapezoid Rule?

11. What is the Trapezoid Rule?

In this lesson, you'll move beyond simple rectangles to estimate the area under a curve. Get more sophisticated with your approximations and use trapezoids instead of those pesky rectangles.

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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