About This Chapter
Honors Algebra 1: Linear Equations - Chapter Summary and Learning Objectives
Watch our professional instructors in these lesson videos to review the properties of linear equations, what linear equations represent, processes of solving linear equations, graphing linear equations and the processes of solving systems of equations. These lesson videos have been assembled specifically to teach you:
- What linear equations are
- Properties of linear equations and how to find them
- How to solve and graph linear equations
- What systems of equations are
- How to solve and use systems of equations
|What is a Linear Equation?||Learn what a linear equation is and how it is used.|
|Applying the Distributive Property to Linear Equations||Use the distributive property to simplify linear equations.|
|Linear Equations: Intercepts, Standard Form and Graphing||Review the processes of simplifying and graphing linear equations.|
|Abstract Algebraic Examples and Going from a Graph to a Rule||Apply the concept of linear equations to more abstract algebraic concepts.|
|Graphing Undefined Slope, Zero Slope and More||Graph horizontal and vertical lines.|
|Parallel, Perpendicular and Transverse Lines||Learn about the properties of parallel and perpendicular lines.|
|Graphs of Parallel and Perpendicular Lines in Linear Equations||Identify and graph linear equations for parallel and perpendicular lines.|
|How to Write a Linear Equation||Analyze graphs to come up with linear equations.|
|What is a System of Equations?||Learn what systems of equations are and how to solve them.|
|How Do I Use a System of Equations?||Review examples of uses for systems of equations.|
|Solving Simultaneous Linear Equations||Use Gaussian elimination to solve simultaneous linear equations.|
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. 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.
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.
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. 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.
7. 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.
8. 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.
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. How Do I Use a System of Equations?
There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.
11. Solving Simultaneous Linear Equations
In this video lesson, you will learn how to solve simultaneous linear equations or a system of linear equations. Learn the steps you need to take to solve any such system using the Gaussian elimination method.
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Other chapters within the Honors Algebra 1 Textbook course
- Honors Algebra 1: Basic Arithmetic Review
- Honors Algebra 1: Fractions & Decimal Review
- Honors Algebra 1: Calculations, Ratios, Percent & Proportions
- Honors Algebra 1: Properties of Real Numbers
- Honors Algebra 1: Exponents & Scientific Notation
- High School Algebra: Radical Expressions
- Honors Algebra 1: Composing Algebraic Equations & Expressions
- Honors Algebra 1: Solving Algebraic Expressions & Equations
- Honors Algebra 1: Properties of Functions
- Honors Algebra 1: Absolute Value Expressions & Equations
- Honors Algebra 1: Matrices in Linear Equations
- High School Algebra: Working With Inequalities
- High School Algebra: Properties of Exponents
- High School Algebra: Properties of Polynomial Functions
- Honors Algebra 1: Vectors in Linear Algebra
- High School Algebra: Complex and Imaginary Numbers
- High School Algebra: Algebraic Distribution
- High School Algebra: Factoring
- Honors Algebra 1: Factoring with FOIL, Graphing Parabolas & Solving Quadratics
- Honors Algebra 1: Graphing & Factoring Quadratic Equations
- High School Algebra: Rational Expressions
- High School Algebra: Cubic Equations
- Honors Algebra 1: Descriptive Statistics
- Honors Algebra 1: Data Analysis
- Honors Algebra 1: Probability & Statistics
- Honors Algebra 1: Units of Measurement in Geometry
- Honors Algebra 1: Shapes of Geometry
- Honors Algebra 1: Similar Polygons
- Honors Algebra 1: Pre-Calculus Geometry
- High School Algebra: Well-Known Equations
- Honors Algebra 1: Maximum & Minimum Value of Functions
- Honors Algebra 1: Patterns in Math