About This Chapter
Proportional Relationships & Linear Equations - Chapter Summary
In this chapter, you'll review linear equations and proportional relationships as they're used in math. Topics include how proportions and ratios are calculated, finding the slope of a line and modeling a linear relationship between two quantities. Each lesson is followed by a multiple-choice quiz that can help you prepare for a test or a quiz. If you don't want to watch an entire video lesson, use the video tabs feature to skip ahead to the subject you'd like to review. Studying offline is easy with our printable lesson transcripts. Once you complete this chapter, you should be able to:
- Solve practice problems involving ratio and proportion calculations
- Give an example of what directly proportional means
- Graph quantity values with constant ratios
- Explain how standard form applies to linear equations
- Understand the process used to evaluate and write real-life linear models
1. Practice Problems for Calculating Ratios and Proportions
In this lesson, you'll get a quick review of a type of math problem that shows up on the SAT: ratios and proportions. We'll walk through some problems in the video, and you can test your skills in the quiz questions.
2. Directly Proportional: Definition, Equation & Examples
In this lesson, you will learn the definition of the mathematical expression 'directly proportional' and be able to apply this expression to solving problems that related two variables.
3. Graphing Quantity Values With Constant Ratios
In this video lesson, you will see what the graph looks like when all your points have the same y:x or x:y ratio. You'll also learn how to write the equation of such a graph.
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. How to Find and Apply The Slope of a Line
In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.
6. Model a Linear Relationship Between Two Quantities
In this lesson, we will learn about modeling linear relationships by converting domain and range values into ordered pairs and then constructing a graph.
7. Writing & Evaluating Real-Life Linear Models: Process & Examples
You make decisions about budgeting and other financial issues using linear models without even realizing it. Learn how to write and evaluate linear models.
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Other chapters within the 8th Grade Math course
- Number Systems & Theory
- Problem-Solving in Real World Math
- Algebraic Expressions & Equations
- Graphing Lines & Inequalities
- 6th-8th Grade Algebra: Systems of Linear Equations
- Graphical Transformations
- Geometry of Congruent & Similar Figures
- Geometry & Properties of Triangles
- Geometry of Three-Dimensional Objects
- Evaluating & Calculating Probability
- Measuring & Graphing Statistical Distributions