About This Chapter
Solving & Graphing Linear Equations - Chapter Summary
Let our video lessons show you what a linear equation is and how to write one. You can practice solving problems with linear equations, including equations with literal coefficients. Other lessons cover intercepts, standard form and graphing linear equations. You'll also see abstract algebraic examples and learn how to use the distributive property with linear equations.
After completing the lessons in this chapter, you should know how to:
- Define and write a linear equation
- Apply the distributive property to linear equations
- Solve problems using linear equations
- Go from a graph to a rule
- Graph undefined slope and zero slope
- Understand and work with parallel, perpendicular and transverse lines
- Graph parallel and perpendicular lines in linear equations
Through our brief, engaging video lessons, you can review and get real practice in these concepts. Our instructors are professionals in the field and expert at showing you what you need to know. The quizzes that accompany each lesson let you check your knowledge and return to the lesson to review topics that require more attention. If you need extra help, the instructor is available to answer questions.
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. 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.
3. 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.
4. 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.
5. 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.
6. 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.
7. 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.
8. 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.
9. 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!
10. Parallel, Perpendicular and Transverse Lines
What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.
11. 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.
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Other chapters within the Accuplacer College Level Math Test: Practice & Study Guide course
- Operations with Basic Algebraic Expressions
- Arithmetic with Rational Expressions
- Factoring in Algebra
- Expanding Polynomials
- Manipulating Roots
- Working with Exponents & Exponential Expressions
- Quadratic Equations
- Calculating & Graphing Inequalities
- Solving Systems of Linear Equations
- Geometric Angles & Shapes
- Conics in Algebra
- Algebraic Concepts of Groups & Sets
- Graphs of Algebraic Functions
- Complex and Imaginary Numbers
- Notation, Sequences & Series
- Matrices and Determinants in Algebra
- Fractions, Decimals & Mixed Numbers
- Approaches to Math Word Problems
- Understanding Exponential & Logarithmic Functions
- Trigonometric Functions & Equations