# Ch 16: Saxon Algebra 1: Simplifying Expressions

### About This Chapter

## How It Works:

- Identify the lessons in the Saxon Simplifying Expressions chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the simplifying expressions 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:

- Simplifying expressions with integers and exponential expressions
- Negative exponents and signs
- The distributive property
- Evaluating expressions using substitution
- Finding least common multiple and greatest common factor
- Combining like terms
- Simplifying and multiplying radical expressions

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

### 1. How to Simplify Expressions with Integers

After watching this video lesson, you will be able to simplify any integer expression by following the order of operations. Learn what to watch for and in what order to do your operations.

### 2. Simplifying and Solving Exponential Expressions

What do we do with an exponent? In this lesson, we'll learn how to simplify and solve expressions containing exponents. We'll solve a variety of types of exponential expressions.

### 3. Negative Exponent: Definition & Rules

Negative exponents have caused problems for math students as long as they have been defined. This lesson will shed some light on the negative exponent: what it means and how to work with it in a math problem.

### 4. Negative Signs and Simplifying Algebraic Expressions

Don't let negative signs get you down. In this lesson, we'll stay positive as we practice simplifying algebraic expressions that have those tricky negative signs.

### 5. The Distributive Property & Negative Exponents

Using the Distributive Property with exponents can be tricky, and it gets even weirder when you throw in negative exponents. In this lesson, we'll look at how negative exponents fit into the Distributive Property of Multiplication over Addition.

### 6. Practice Simplifying Algebraic Expressions

In this lesson, we'll practice simplifying a variety of algebraic expressions. We'll use two key concepts, combining like terms and the distributive property, to help us simplify.

### 7. How to Evaluate Expressions with Substitution

In this lesson, we will review the definition of an algebraic expression and order of operations. We will then look at how to evaluate algebraic expressions using substitution and practice the process on multiple examples.

### 8. The Distributive Property and Algebraic Expressions

The order of operations is great. But sometimes we need to bend the rules to simplify an equation. Fortunately, the distributive property gives us a scenario in which this is okay. Learn all about it in this lesson.

### 9. How to Simplify an Expression with Parentheses & Exponents

Watch this video lesson to learn how important it is to follow the order of operations. Learn what to do when you see parentheses and exponents in your math problems.

### 10. Combining Like Terms in Algebraic Expressions

When you have an algebraic expression that's much too long, it would be great if you could simplify it. That's when knowing how to combine like terms comes in. In this lesson, we'll learn the process of combining like terms and practice simplifying expressions.

### 11. How to Find the Least Common Multiple of Expressions

Would you like to learn an easy method for finding the least common multiple of expressions? In this lesson, we will look at sample problems with prime factorization (a product of prime numbers) to explain the steps.

### 12. How to Find the Greatest Common Factor of Expressions

Factoring can be a great resource when solving math problems. Many times, it is very helpful to find the greatest common factor. In this lesson, we will learn how to find the greatest common factor of expressions.

### 13. How to Simplify Radical Expressions With Addition

Expressions involving radicals can look a bit daunting. In this lesson, we are going to look at how to simplify radical expressions using addition. We will look at some different examples and talk about the steps involved in this process.

### 14. Multiplying then Simplifying Radical Expressions

Multiplying 2 or more radical expressions uses the same principles as multiplying polynomials, with a few extra rules for dealing with the radicals. This lesson will teach you how to multiply and then simplify radical expressions.

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### Other Chapters

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

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