# Ch 23: Praxis Middle School Math: Solving Linear Equations

### About This Chapter

## Praxis Middle School Math: Solving Linear Equations - Chapter Summary

Take the time to prepare for questions you'll encounter on the Praxis Middle School Math exam. Completing the lessons in this chapter will help you to feel confident in your ability to solve linear equations. Using these lessons, you'll explore:

- Problem solving
- Adding and subtracting with one variable
- Multiplying and dividing one-variable equations
- Using algebra tiles and the distributive property
- Literal coefficients
- Graphing, intercepts and standard form
- One-variable inequalities
- Slope intercept form
- Adding and subtracting one-variable word problems
- Multiplying and dividing word problems with one variable

The lessons in this chapter have been specially designed by professionals to cover the information about linear equations you are likely to come across on the exam. Each lesson contains a short video that illustrates the material being covered. The video's transcript is included for text-based learning. You can take a self-assessment quiz at the end of each lesson to apply what you've learned. If you need to review a particular portion of the lesson, utilize the timeline below the video for easy navigation.

### 1. 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.

### 2. Writing & Solving Addition Equations with One Variable

After watching this video lesson, you will know how to properly write an addition equation and how to solve any addition equation that you come across. Learn what the steps are to solve these equations that have one variable in them.

### 3. Writing & Solving Subtraction Equations with One Variable

After watching this video lesson, you will know what is needed in order to write a subtraction equation. You will also know how to solve any subtraction equation that you are given or that you write.

### 4. Writing & Solving Multiplication Equations with One Variable

After watching this video lesson, you will know the components that go into a complete multiplication equation. You will also learn the steps that are needed to solve a multiplication equation.

### 5. Writing & Solving Division Equations with One Variable

In this video lesson, you will learn the proper format of a division equation. Learn what components are needed for a complete division equation. Also learn what steps you need to take to solve these division equations.

### 6. How to Use Algebra Tiles to Model & Solve Equations

In this video lesson, we take a look at using algebra tiles to represent our numbers and variables. See how to use these to help model and solve equations.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. How to Solve and Graph One-Variable Inequalities

In this lesson, we will learn that solving inequalities is very similar to solving equations, but the solutions to inequalities are not so similar. Learn how to graph these solutions to better understand inequalities.

### 11. What is Slope Intercept Form? - Definition, Equation & Examples

The slope-intercept form is one of several ways you can write the equation of a line. In this lesson, you will learn about the definition and equation of the slope-intercept form and work through some real-world examples.

### 12. Writing & Solving Addition Word Problems with One Variable

After watching this video lesson, you will be able to write and solve addition word problems. Learn how to read your word problem, write out the algebraic equation, and then solve it for the unknown variable.

### 13. Writing & Solving Subtraction Word Problems with One Variable

You will be able to solve subtraction word problems after watching this video lesson. Learn how to take your word problem from words into an algebraic expression that you can solve.

### 14. Writing & Solving Multiplication Word Problems with One Variable

After watching this video lesson, you should be able to take a multiplication word problem and translate it into an algebraic expression that you can solve. You will also learn how to solve these problems from the expressions that you write.

### 15. Writing & Solving Division Word Problems with One Variable

After watching this video lesson, you should be able to solve word problems that involve the division operator. Learn how to write your math problem using an algebraic expression and then solve it.

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### Other Chapters

Other chapters within the Praxis Middle School Mathematics (5169): Practice & Study Guide course

- Praxis Middle School Math: Number Basics
- Praxis Middle School Math: Rational Numbers
- Praxis Middle School Math: Properties of Numbers
- Praxis Middle School Math: Number Structure
- Praxis Middle School Math: Absolute Value
- Praxis Middle School Math: Equality
- Praxis Middle School Math: Arithmetic Operations
- Praxis Middle School Math: Introduction to Fractions
- Praxis Middle School Math: Operations with Fractions
- Praxis Middle School Math: Decimals
- Praxis Middle School Math: Percents
- Praxis Middle School Math: Ratios & Rate of Change
- Praxis Middle School Math: Proportional Relationships
- Praxis Middle School Math: Estimation
- Praxis Middle School Math: Scientific Notation & Exponents
- Praxis Middle School Math: Square Roots
- Praxis Middle School Math: Roots & Radicals
- Praxis Middle School Math: Algebra Basics
- Praxis Middle School Math: Principles of Algebra
- Praxis Middle School Math: Solving Word Problems
- Praxis Middle School Math: Functions
- Praxis Middle School Math: Linear Equations
- Praxis Middle School Math: Patterns in Math
- Praxis Middle School Math: Graphing Functions
- Praxis Middle School Math: Polynomials
- Praxis Middle School Math: Quadratic Equations
- Praxis Middle School Math: Systems of Equations
- Praxis Middle School Math: Area, Perimeter & Volume
- Praxis Middle School Math: Properties & Theorems
- Praxis Middle School Math: Parallel, Perpendicular & Intersecting Lines
- Praxis Middle School Math: Properties of Triangles
- Praxis Middle School Math: Similarity & Congruence
- Praxis Middle School Math: Quadrilaterals
- Praxis Middle School Math: Polygons
- Praxis Middle School Math: Circles
- Praxis Middle School Math: Coordinate Geometry
- Praxis Middle School Math: Measurement
- Praxis Middle School Math: Geometric Construction
- Praxis Middle School Math: Data
- Praxis Middle School Math: Line Graphs
- Praxis Middle School Math: Data Presentation
- Praxis Middle School Math: Probability
- Praxis Middle School Math: Logic
- Praxis Middle School Math: Modeling
- Praxis Middle School Mathematics Flashcards