# Ch 19: Saxon Algebra 1/2: 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
- Solving exponential and radical expressions
- Variable exponents and fractional bases
- Negative signs and algebraic expressions
- The distributive property
- Simplifying expressions with parentheses and exponents
- Combining like terms
- Solving complex fractions

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

### 1. How to Simplify Expressions with Integers

Expressions with integers are easy to simplify once the basics are understood. Delve into this topic and explore what an integer expression is and how to use order of operations, then view a couple of examples.

### 2. Simplifying and Solving Exponential Expressions

Exponential expressions display how many times a number can be multiplied by itself. Learn how to simplify exponential expression problems, examine the functions of an exponent, how it affects positive and negative integers, and solve some sample exponential expressions.

### 3. Multiplying then Simplifying Radical Expressions

The terms under radical symbols with the same index can be combined through multiplication, then simplified. Learn how to multiply and simplify radical expressions by using the product rule, and review the examples.

### 4. How to Simplify Expressions With Variable Exponents

In this lesson, we will learn how to simplify expressions with variable terms that have exponents, with the help of some basic algebra terminology. Some of the key terms we will review are grouping and combining like terms.

### 5. How to Simplify Expressions With Fractional Bases

Expressions with fractional bases can easily occur in the world around us. This lesson will look at how to simplify these types of expressions through vocabulary, definitions, and examples.

### 6. Negative Signs and Simplifying Algebraic Expressions

In mathematics, negative signs represent numbers that have a quantity of zero or less. Learn the role of negative signs in simplifying algebraic expressions and practice simplifying algebraic expressions with distributive properties, like terms, and additional problems that include numbers with negative signs.

### 7. Practice Simplifying Algebraic Expressions

Algebraic expressions are simplified using two useful concepts: combining like terms and the distributive property. Learn how to use combining like terms and the distributive property to simplify algebraic expressions, and understand the solutions to the practice problems.

### 8. The Distributive Property and Algebraic Expressions

The distributive property, which involves distributing a term across all numbers and variables within the parentheses, provides a useful way to simplify algebraic expressions. Learn what the distribution property is, and solve for it in algebraic expressions in practice problems.

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

Mathematical expressions can utilize parentheses and exponents to notate calculations differently. See how the order of operations (PEMDAS) creates consistency when notating these expressions through a series of examples.

### 10. Combining Like Terms in Algebraic Expressions

Combining like terms, which refers to the process of merging terms that have the same variable, is a way to simplify algebraic expressions. Learn what combining like terms means, understand the process of adding variables, and review practice problems.

### 11. How to Solve Complex Fractions

Complex fractions are fractions that contain fractions in the numerator, denominator, or both. Learn the two methods used to manage and solve complex fractions by simplifying the problem.

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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: Polynomials
- Saxon Algebra 1/2: Simplifying and Solving Equations
- 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