About This Chapter
Solving, Writing & Graphing Linear Equations - Chapter Summary
Learn about or refresh your existing knowledge of ways to solve, write and graph linear equations using this self-paced chapter. Top instructors offer in-depth analyses of this subject that can help you do help you do the following:
- Define a linear equation
- Graph a linear equation not in slope-intercept form
- Discuss the basics of linear equation solution sets as graphs
- Solve abstract algebraic examples and go from a graph to a rule
- Graph zero slope, undefined slope and more
- Write and solve linear equations
- Find solutions for linear equations with literal coefficients
- Use linear equations to problem solve
Select the lessons in this chapter that will help you fully understand how to solve, write and graph linear equations. If you need to clarify any lessons you review, feel free to submit questions to our experts via the Dashboard. Before the day of the test, be sure to take our practice exam to assess your comprehension of this chapter. All study resources in this chapter are accessible 24/7 via any computer, smartphone or tablet.
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. 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.
3. Linear Equation Solution Sets as Graphs
This lesson will show the relationship between the solution set of a linear equation and the graph of the equation itself. We will look at examples of representing linear equation solution sets as graphs.
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.
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. 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.
7. Solving Linear Equations: Practice Problems
With practice, linear equations can be straightforward to solve. In this lesson, we'll define linear equations and learn how to solve them. We'll look at multiple practice problems and walk through solving each one.
8. Solving Linear Equations with Literal Coefficients
In this lesson, we'll literally learn about literal coefficients. We'll look at how to solve linear equations that contain literal coefficients and practice solving several problems.
9. Problem solving using Linear Equations
From sale prices to trip distances, many real life problems can be solved using linear equations. In this lesson, we'll practice translating word problems into linear equations, then solving the problems.
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Other chapters within the Pennsylvania Algebra I Keystone Exam: Test Prep & Practice course
- Real Numbers & Expressions
- Understanding Exponential Expressions
- Working with Radical Expressions
- Understanding Absolute Value Expressions
- Estimation & Math Problem-Solving
- Solving Problems with Polynomials
- Solving Problems with Systems of Equations
- Solving & Graphing Linear Inequalities
- Understanding Function Basics
- Using Scatter Plots
- Understanding Basic Statistics
- Interpreting & Graphing Data
- Understanding the Probability of Compound Events
- Pennsylvania Algebra I Keystone Exam Flashcards