About This Chapter
Writing & Graphing Equations - Chapter Summary
The intention behind this chapter is to inform you on how to correctly write and graph equations. This information will help you solve math problems related to these topics with ease. This chapter contains these topics:
- What linear equations look like
- Ways to translate words into math symbols
- Components of an equation
- How to graph standard form equations
- Horizontal vs. vertical lines
- How to graph parallel and perpendicular lines
- Solving inequalities
- Using the system of equations
The video lessons are accessible 24/7 from a computer or mobile device. We have instructors who are professional and knowledgeable teaching these lessons. If you find yourself really struggling to retain the lesson material, you can ask our instructors for assistance. They can answer any questions you may have about the material found in this chapter.
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. 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.
3. Common Algebraic Equations: Linear, Quadratic, Polynomial, and More
Watch this video lesson to see the kinds of equations that you will come across most often in algebra. Learn to distinguish them by just looking for the identifying components of each equation.
4. 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.
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!
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.
7. 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.
8. Writing Equations with Inequalities: Open Sentences and True/False Statements
After watching this video lesson you will be able to write open sentences and true or false statements that use inequalities. You will also be able to solve and/or determine whether a particular inequality is true or false.
9. 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.
10. Solving Problems Involving Systems of Equations
Did you ever encounter a problem where you seem to have lots of information, but still have a couple of critical numbers missing? In this lesson, we'll practice solving word problems that require us to set up systems of equations.
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