# Ch 21: Saxon Algebra 1/2: Simplifying and Solving Equations

### About This Chapter

## How It Works:

- Identify the lessons in the Saxon Simplifying and Solving Equations chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the equations topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

## Students will learn:

- How to solve one-step equations
- How to solve conditional equations
- How equivalent equations are solved
- What the percent equation is
- The addition and multiplication principles
- How the fractional-part-of-a-number equation is used
- How to solve equations with mixed numbers and decimals
- Steps for solving addition and subtraction equations with multiple variables
- How equations requiring multiple steps are solved
- How to deal with equations that have negative coefficients

*Saxon is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.*

### 1. 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.

### 2. Simplifying & Solving Conditional Equations

Many equations are conditional equations. This lesson will define conditional equations and go over how to simplify and solve simple conditional equations using various rules.

### 3. Simplifying & Solving Equivalent Equations

When would two equations for one unknown variable be equal? Why would this information be useful? How would you solve for that variable and what would that variable mean? This lesson will explain all of these questions.

### 4. 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.

### 5. 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.

### 6. How to Use the Fractional-Part-of-a-Number Equation

This lesson will cover how to use the fractional part of a number equation. We will see how to set up this equation and how to use this equation to find the fractional part of a number. We will use real world examples to illustrate this process.

### 7. Simplifying & Solving Equations With Decimals & Mixed Numbers

This lesson will review decimals and mixed numbers, and it will discuss how to convert between the two. We will then use examples to learn how to solve equations involving these types of numbers.

### 8. Percent Equation: Definition & Example

Percentages are everywhere, but have you ever heard of the percent equation? This lesson will explain the equation and give you several examples so you can use it to solve all of your percentage problems.

### 9. Solving Addition Equations with Two or More Variables

After watching this video lesson, you will know how to set up and solve addition problems where you have two or more variables. You will learn what steps you need to take to solve for each variable.

### 10. Solving Subtraction Equations with Two or More Variables

After watching this lesson, you'll be able to solve subtraction problems that involve more than one variable and more than one equation. Learn what steps you need to take and how to work with your equations.

### 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.

### 12. Solving Equations With Negative Coefficients

In this lesson, we will review what coefficients and negative numbers are. We will then talk about solving equations for a variable specifically when that variable has a negative coefficient.

### 13. Translating Words to Algebraic Expressions

When it comes to word problems, the easiest way to solve them is to look for keywords and change them into math symbols. Watch this video lesson to find out what keywords you should look for and what math symbols they represent.

### 14. How to Solve a Rational Equation

A rational equation is one that contains fractions. Yes, we will be finding a common denominator that has 'x's. But no worries! Together we will use a process that will help us solve rational equations every time!

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### Other Chapters

Other chapters within the Saxon Algebra 1/2 Homeschool: Online Textbook Help course

- Saxon Algebra 1/2: Whole Numbers & Operations With Whole Numbers
- Saxon Algebra 1/2: Fractions
- Saxon Algebra 1/2: Decimal Numbers
- Saxon Algebra 1/2: Roman Numerals
- Saxon Algebra 1/2: Graphs of Data
- Saxon Algebra 1/2: Graphs on the Coordinate Plane
- Saxon Algebra 1/2: Sets
- Saxon Algebra 1/2: Real Numbers
- Saxon Algebra 1/2: Number Theory
- Saxon Algebra 1/2: Properties of Real Numbers
- Saxon Algebra 1/2: English & Metric Measurement
- Saxon Algebra 1/2: Conversion by Unit Multipliers
- Saxon Algebra 1/2: Ratio & Proportion
- Saxon Algebra 1/2: Percent
- Saxon Algebra 1/2: Exponents
- Saxon Algebra 1/2: Roots
- Saxon Algebra 1/2: Probability
- Saxon Algebra 1/2: Statistics
- Saxon Algebra 1/2: Simplifying Expressions
- Saxon Algebra 1/2: Polynomials
- Saxon Algebra 1/2: Linear Equations
- Saxon Algebra 1/2: Other Types of Equations
- Saxon Algebra 1/2: Functions & Trigonometry
- Saxon Algebra 1/2: Lines, Points, Segments, and Planes
- Saxon Algebra 1/2: Angles
- Saxon Algebra 1/2: Polygons
- Saxon Algebra 1/2: Circles
- Saxon Algebra 1/2: Triangles
- Saxon Algebra 1/2: Geometric Solids
- Saxon Algebra 1/2: Perimeter and Circumference
- Saxon Algebra 1/2: Area
- Saxon Algebra 1/2: Surface Area and Volume
- Saxon Algebra 1/2: Constructions
- Saxon Algebra 1/2: Pythagorean Theorem