# Ch 11: TExMaT Master Mathematics Teacher 8-12: Linear Equations

### About This Chapter

## TExMaT Master Mathematics Teacher 8-12: Linear Equations - Chapter Summary

This chapter's video lessons can give you extra practice solving one- and multi-step equations, writing the equation for a line and graphing linear equations. Instructors discuss the following topics to get you ready for algebra questions on the TExMaT Master Mathematics Teacher 8-12 exam:

- Slope-intercept and standard forms of a linear equation
- Applying the he slope and intercept of a line
- Graphs of undefined and zero slope
- Uses of the point-slope formula
- The addition and multiplication principles
- Translating and solving 1-step equations
- Collecting like terms
- Equation problem-solving steps

Peruse the lesson titles to find out what's covered on the test, and watch the short videos or read the transcripts focusing on the topics you want to review. Multiple-choice quizzes are also included to help determine when you're ready to move on to the next chapter.

### TExMaT Master Mathematics Teacher 8-12: Linear Equations - Chapter Objectives

Experienced Texas educators interested in earning Master Mathematics Teacher certification for grades 8-12 can sit for this TExMaT exam, which includes one constructed-response question and 90 multiple-choice questions.

Around 18% of exam content falls under the patterns and algebra content domain. Some of these test questions could require a mastery of the skills addressed in this Linear Equations chapter, such as an ability to solve linear equations, interpret their graphs and write the equation for a line when given the slope and a coordinate, two coordinates or the slope and y-intercept.

### 1. 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.

### 2. 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.

### 3. 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.

### 4. 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!

### 5. 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.

### 6. Defining, Translating, & Solving One-Step Equations

Watch this video lesson to learn how you can write a simple math equation when you are given a word problem. Learn how to translate words into math symbols. Learn the shortcuts to remember.

### 7. Solving Equations Using the Addition Principle

In algebra, we have certain principles that we use to help us solve equations quickly and easily. The addition principle is one of them. Watch this video lesson to learn how you can apply it to solve your equations.

### 8. Solving Equations Using the Multiplication Principle

When it comes to solving equations in algebra, one of the essential skills you need is the ability to multiply. Watch this video lesson to learn how you can use the multiplication principle to isolate your variable.

### 9. Collecting Like Terms On One Side of an Equation

When you are using algebra to solve your problems, one of your biggest and most often used methods is that of collecting like terms. Watch this video lesson to see how it is done.

### 10. Solving Equations with Infinite Solutions or No Solutions

In algebra, there are two scenarios that give us interesting results. Watch this video lesson to learn how you can distinguish problems that have no answers and problems that have an infinite number of answers.

### 11. How to Solve Equations with Multiple Steps

In algebra, when you want to solve an equation for a particular variable, you will need to perform multiple steps that include adding, subtracting, multiplying, and dividing. Watch this video lesson to learn the order you need to do these steps.

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### Other Chapters

Other chapters within the TExMaT Master Mathematics Teacher 8-12 (089): Practice & Study Guide course

- TExMaT Master Mathematics Teacher 8-12: Properties of Real Numbers
- TExMaT Master Mathematics Teacher 8-12: Fractions
- TExMaT Master Mathematics Teacher 8-12: Decimals & Percents
- TExMaT Master Mathematics Teacher 8-12: Ratios & Proportions
- TExMaT Master Mathematics Teacher 8-12: Measurements & Conversions
- TExMaT Master Mathematics Teacher 8-12: Reasoning & Problem Solving
- TExMaT Master Mathematics Teacher 8-12: Vector Operations
- TExMaT Master Mathematics Teacher 8-12: Matrices & Determinants
- TExMaT Master Mathematics Teacher 8-12: Exponents & Exponential Expressions
- TExMaT Master Mathematics Teacher 8-12: Algebraic Expressions
- TExMaT Master Mathematics Teacher 8-12: Inequalities
- TExMaT Master Mathematics Teacher 8-12: Absolute Value Problems
- TExMaT Master Mathematics Teacher 8-12: Quadratic Equations
- TExMaT Master Mathematics Teacher 8-12: Polynomials
- TExMaT Master Mathematics Teacher 8-12: Rational Expressions
- TExMaT Master Mathematics Teacher 8-12: Radical Expressions
- TExMaT Master Mathematics Teacher 8-12: Systems of Equations
- TExMaT Master Mathematics Teacher 8-12: Complex Numbers
- TExMaT Master Mathematics Teacher 8-12: Functions
- TExMaT Master Mathematics Teacher 8-12: Piecewise Functions
- TExMaT Master Mathematics Teacher 8-12: Parametric Equations
- TExMaT Master Mathematics Teacher 8-12: Exponential & Logarithmic Functions
- TExMaT Master Mathematics Teacher 8-12: Continuity of Functions
- TExMaT Master Mathematics Teacher 8-12: Limits
- TExMaT Master Mathematics Teacher 8-12: Rate of Change
- TExMaT Master Mathematics Teacher 8-12: Rules for Calculating Derivatives
- TExMaT Master Mathematics Teacher 8-12: Graphing Derivatives
- TExMaT Master Mathematics Teacher 8-12: Applications of Derivatives
- TExMaT Master Mathematics Teacher 8-12: Area Under the Curve & Integrals
- TExMaT Master Mathematics Teacher 8-12: Integration Techniques
- TExMaT Master Mathematics Teacher 8-12: Integration Applications
- TExMaT Master Mathematics Teacher 8-12: Foundations of Geometry
- TExMaT Master Mathematics Teacher 8-12: Geometric Figures
- TExMaT Master Mathematics Teacher 8-12: Properties of Triangles
- TExMaT Master Mathematics Teacher 8-12: Triangle Theorems & Proofs
- TExMaT Master Mathematics Teacher 8-12: Parallel Lines & Polygons
- TExMaT Master Mathematics Teacher 8-12: Quadrilaterals
- TExMaT Master Mathematics Teacher 8-12: Circular Arcs & Circles
- TExMaT Master Mathematics Teacher 8-12: Conic Sections
- TExMaT Master Mathematics Teacher 8-12: Geometric Solids
- TExMaT Master Mathematics Teacher 8-12: Analytical Geometry
- TExMaT Master Mathematics Teacher 8-12: Trigonometric Functions
- TExMaT Master Mathematics Teacher 8-12: Trigonometric Graphs
- TExMaT Master Mathematics Teacher 8-12: Solving Trigonometric Equations
- TExMaT Master Mathematics Teacher 8-12: Trigonometric Identities
- TExMaT Master Mathematics Teacher 8-12: Sequences & Series
- TExMaT Master Mathematics Teacher 8-12: Data & Statistics
- TExMaT Master Mathematics Teacher 8-12: Summarizing Data
- TExMaT Master Mathematics Teacher 8-12: Tables & Plots
- TExMaT Master Mathematics Teacher 8-12: Probability
- TExMaT Master Mathematics Teacher 8-12: Discrete Probability Distributions
- TExMaT Master Mathematics Teacher 8-12: Continuous Probability Distributions
- TExMaT Master Mathematics Teacher 8-12: Sampling
- TExMaT Master Mathematics Teacher 8-12: Hypothesis Testing
- TExMaT Master Mathematics Teacher 8-12: Regression & Correlation
- TExMaT Master Mathematics Teacher 8-12 Flashcards