About This Chapter
Algebra II: Linear Equations Review - Chapter Summary and Learning Objectives
Linear equations represent more than just points on a graph. They can be used to depict the relationship between two variables in plenty of real-life situations. Learn how these types of equations work and what kind of data you can plug into them with the lessons included in this chapter. By the time you finish watching the videos or reading the transcripts, you should be able to:
- Determine a linear equation's slope and y-intercept
- Graph linear equations written in standard and slope-intercept form
- Use the slope and y-intercept to write linear equations
|What Is a Linear Equation?||Review how linear equations are used in real life and examine the significance of the slope, y-intercept and slope-intercept form.|
|Applying the Distributive Property to Linear Equations||Find out how to solve linear equations by applying the distributive property.|
|Linear Equations: Intercepts, Standard Form and Graphing||Learn how to graph a linear equation using intercepts and the standard form.|
|Abstract Algebraic Examples and Going from a Graph to a Rule||Learn how to identify graphs of equations based on their slope and position on the x or y axis.|
|Graphing Undefined Slope, Zero Slope and More||Discover the differences between zero and undefined slopes. Find out how their x and y values are represented.|
|Parallel, Perpendicular and Transverse Lines||Examine methods for using slope to determine the relationship between the graphs of two linear equations.|
|Graphs of Parallel and Perpendicular Lines in Linear Equations||Compare and contrast the linear equations of parallel and perpendicular lines.|
|How to Write a Linear Equation||Learn how the slope formula and the y-intercept of another parallel or perpendicular line can be used to write 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.
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.
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Other chapters within the Algebra II: High School course
- Algebra II: Real Numbers
- Algebra II: Complex and Imaginary Numbers Review
- Algebra II: Exponents and Exponential Expressions Review
- Algebra II: Properties of Functions Review
- Algebra II: Systems of Linear Equations
- Algebra II: Inequalities Review
- Algebra II: Absolute Value Review
- Algebra II: Graphing and Factoring Quadratic Equations Review
- Algebra II: Quadratic Equations
- Algebra II: Factoring
- Algebra II: Polynomials
- Algebra II: Rational Expressions
- Algebra II: Graphing and Functions
- Algebra II: Conic Sections
- Algebra II: Roots and Radical Expressions Review
- Algebra II: Exponential and Logarithmic Functions
- Algebra II: Sequences & Series
- Algebra II: Combinatorics
- Algebra II: Calculations, Ratios, Percent & Proportions Review
- Algebra II: Statistics
- Algebra II: Trigonometry
- Homeschool Resources for High School Algebra II