# Ch 1: ASSET Elementary Algebra: Algebraic Expressions

### About This Chapter

## ASSET Elementary Algebra: Algebraic Expressions - Chapter Summary

In this chapter, you will have opportunities to review the main forms of algebraic expressions, properties, and relationships in anticipation of problems the ASSET Elementary Algebra Test may ask you to solve. As well as explaining variables and the concepts of algebraic and arithmetic expressions, these lessons will address:

- How to translate words to algebraic expressions
- Expressing and evaluating algebraic expressions
- Setting up math problems for solving
- Commutative property
- Associative property
- Additive property
- Multiplicative identity property
- Multiplication property of zero
- Distributive property
- Combining like terms
- Addition principle
- Multiplication principle

These lessons consist of brief videos that are accompanied by full transcripts, giving you the ability to progress through the chapter at your own pace. After you complete each video, you can take the related self-assessment quiz to practice using your knowledge and to see what you need to review further.

### ASSET Elementary Algebra: Algebraic Expressions Objectives

The ASSET Elementary Algebra Test, one of the ASSET Advanced Mathematics exams, assesses your knowledge of information typically learned in an early high school math course. The ASSET exams are meant to gauge your knowledge level to place you in the correct postsecondary program. On the 25-minute, 25-question Elementary Algebra Test, you will be asked about pre-algebra, elementary algebra, and intermediate algebra. A thorough understanding of algebraic and arithmetic expressions will prove beneficial for each level of algebra tested.

By reviewing the content of these lessons, you will be exposed to the major algebraic and arithmetic expressions and should gain the capabilities to solve any pertinent questions. Also, taking the practice lesson quizzes will give you valuable experience using the multiple-choice format of the ASSET Elementary Algebra Test.

### 1. What is a Variable in Algebra?

Did you ever encounter something like a + b = c and wonder how all these letters snuck into a math problem? In this lesson, we'll learn about variables, as well as other parts of equations, constants and coefficients.

### 2. Expressing Relationships as Algebraic Expressions

What do you do when you don't know what a number is but you do know how it relates to something else? You use an algebraic expression. In this lesson, we'll learn how to express relationships as algebraic expressions.

### 3. Evaluating Simple Algebraic Expressions

In this lesson, we'll learn how to evaluate algebraic expressions, which involves substituting numbers for variables and following the order of operations. By the end of the lesson, you'll be an algebraic expression expert.

### 4. What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions

When it comes to solving math word problems, there is a correct way of setting up the problem and labeling the various parts of the problem so that you can solve the problem easily. Watch this video lesson to learn how you can do it.

### 5. 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.

### 6. The Commutative Property: Definition and Examples

There are three major properties that deal with the addition and multiplication of numbers. One of those properties is the commutative property. This lesson will define and give examples of the commutative property and how it works.

### 7. The Associative Property: Definition and Examples

There are three basic number properties that help to form the backbone of algebra. One of those properties is the associative property. This lesson will define the associative property and give some examples of how it works.

### 8. Additive Property: Definition & Examples

After completing this lesson, you will be able to state the additive property of equality, the additive property of inequalities, and the additive inverse property. You will also be able to use these properties to solve problems.

### 9. Multiplicative Identity Property: Definition & Example

In this lesson, discover what the multiplicative identity property is and view examples of the property in action. You'll also find out why this property is always true.

### 10. The Multiplication Property of Zero: Definition & Examples

The number zero has different rules than other numbers; it behaves according to it's own unique properties. This lesson will define the multiplication property of zero and give some examples of how it works.

### 11. Distributive Property: Definition, Use & Examples

After completing this lesson, you will be able to state the distributive property and apply it to various types of problems. You will also be able to accurately perform the mathematical operations that are involved with the distributive property.

### 12. 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.

### 13. 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.

### 14. 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.

### 15. 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.

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### Other Chapters

Other chapters within the ASSET Elementary Algebra Test: Practice & Study Guide course

- ASSET Elementary Algebra: Solving Quadratic Equations
- ASSET Elementary Algebra: Polynomial Operations
- ASSET Elementary Algebra: Factoring Polynomials
- ASSET Elementary Algebra: Integers
- ASSET Elementary Algebra: Integer Exponents
- ASSET Elementary Algebra: Rational Expressions
- ASSET Elementary Algebra: Linear Equations
- ASSET Elementary Algebra Test Flashcards