# Ch 14: CEOE Middle Level/Intermediate Math: Linear Equations

### About This Chapter

## CEOE Middle Level/Intermediate Math: Linear Equations - Chapter Summary

The Study.com team put together a series of video lessons for your use with CEOE testing. These unique lessons will prepare you with answers to test questions covering such subject matter as:

- Understanding what a linear equation is and how to write one
- Using literal coefficients to solve linear equations
- Intercepts, standard form and graphing of linear equations
- Using point-slope formula for figuring the equation of a line
- Using linear equations for problem solving
- How to find and apply the intercepts of a line and the slope of a line
- Graphing of various slopes
- Understanding the modeling of a linear relationship between two quantities
- Solving equations of direct and inverse variation
- The process of writing and evaluating real-life linear models
- Going from a graph to a rule with abstract algebraic examples

The material covered is broken up into short video lessons with each lesson followed by a short quiz to gauge your comprehension of what was just discussed. An easy-to-use timeline tool means it is quick to relook at any portion of the video you want.

### 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. 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.

### 4. 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.

### 5. 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.

### 6. Equation of a Line Using Point-Slope Formula

It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.

### 7. 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.

### 8. 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.

### 9. How to Find and Apply the Intercepts of a Line

How can you take an equation of a line and find out where it will cross the x- or y-axis? In this lesson, we'll define x-intercepts and y-intercepts and learn how to find them.

### 10. 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!

### 11. 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.

### 12. Solving Equations of Direct Variation

In the real world, we come across a lot of problems that vary directly with each other. You will learn how to solve these types of direct variation problems in this video lesson.

### 13. Solving Equations of Inverse Variation

After watching this video lesson, you will be able to identify problems where you can use the formula for inverse variation to solve them. Learn what is involved and how easy they are to solve.

### 14. 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.

### 15. 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.

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### Other Chapters

Other chapters within the OSAT Middle Level/Intermediate Mathematics (CEOE) (125): Practice & Study Guide course

- CEOE Middle Level/Intermediate Math: Problem Solving Strategies
- CEOE Middle Level/Intermediate Math: Reasoning & Logic
- CEOE Middle Level/Intermediate Math: Mathematical Modeling
- CEOE Middle Level/Intermediate Math: Real Numbers
- CEOE Middle Level/Intermediate Math: Fractions
- CEOE Middle Level/Intermediate Math: Decimals
- CEOE Middle Level/Intermediate Math: Percentages
- CEOE Middle Level/Intermediate Math: Ratios, Rates & Proportions
- CEOE Middle Level/Intermediate Math: Exponents & Exponential Expressions
- CEOE Middle Level/Intermediate Math: Properties of Real Numbers
- CEOE Middle Level/Intermediate Math: Sequences & Series
- CEOE Middle Level/Intermediate Math: Introduction to Algebra
- CEOE Middle Level/Intermediate Math: Introduction to Functions
- CEOE Middle Level/Intermediate Math: Linear Inequalities
- CEOE Middle Level/Intermediate Math: Systems of Equations
- CEOE Middle Level/Intermediate Math: Matrices in Linear Algebra
- CEOE Middle Level/Intermediate Math: Quadratic Functions
- CEOE Middle Level/Intermediate Math: Polynomial Functions
- CEOE Middle Level/Intermediate Math: Rational Expressions
- CEOE Middle Level/Intermediate Math: Radical Expressions
- CEOE Middle Level/Intermediate Math: Absolute Value Functions
- CEOE Middle Level/Intermediate Math: Exponential & Logarithmic Equations
- CEOE Middle Level/Intermediate Math: Measurement
- CEOE Middle Level/Intermediate Math: Area & Perimeter
- CEOE Middle Level/Intermediate Math: Surface Area & Volume
- CEOE Middle Level/Intermediate Math: Foundations of Geometry
- CEOE Middle Level/Intermediate Math: Lines & Angles
- CEOE Middle Level/Intermediate Math: Properties of Triangles
- CEOE Middle Level/Intermediate Math: Similar & Congruent Triangle Proofs
- CEOE Middle Level/Intermediate Math: Right Triangle Proofs
- CEOE Middle Level/Intermediate Math: Quadrilaterals & Polygons
- CEOE Middle Level/Intermediate Math: Circles & Arc of a Circle
- CEOE Middle Level/Intermediate Math: Conic Sections
- CEOE Middle Level/Intermediate Math: Coordinate Geometry
- CEOE Middle Level/Intermediate Math: Transformations in Geometry
- CEOE Middle Level/Intermediate Math: Trigonometry
- CEOE Middle Level/Intermediate Math: Limits
- CEOE Middle Level/Intermediate Math: Rate of Change & Derivatives
- CEOE Middle Level/Intermediate Math: Area Under the Curve & Integrals
- CEOE Middle Level/Intermediate Math: Probability
- CEOE Middle Level/Intermediate Math: Discrete Probability Distributions
- CEOE Middle Level/Intermediate Math: Continuous Probability Distributions
- CEOE Middle Level/Intermediate Math: Overview of Statistics
- CEOE Middle Level/Intermediate Math: Sampling
- CEOE Middle Level/Intermediate Math: Graphs, Charts & Diagrams
- CEOE Middle Level/Intermediate Math: Summarizing Data
- CEOE Middle Level/Intermediate Math: Discrete Mathematics
- OSAT Middle Level/Intermediate Mathematics (CEOE) (125) Flashcards