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Ch 11: ACT Math: Algebraic Expressions

About This Chapter

Use the detailed lessons presented to you in this study guide chapter to study information about algebraic expressions. These strategies in this chapter will help you prepare for related questions you will encounter on the ACT test.

ACT Math: Algebraic Expressions - Chapter Summary

Reviewing algebraic expressions and how to solve them will be useful information to you when taking the math portion of the ACT test. Our expert instructors will guide you through each lesson in this chapter to prepare you for exam day. You will review topics such as:

  • Variables in algebra
  • Using algebraic expressions to show relationships
  • Evaluating algebraic expressions
  • Commutative, associative and distributive properties
  • Combining like terms
  • Simplifying algebraic expressions, including those with negative signs

Whether you prefer watch videos or read transcripts, you have the flexibility to study in a way that is comfortable for you. Also, when you complete each lesson you will have the opportunity to gauge how much you know. You can take the lesson quizzes and the chapter test to assess your knowledge of the topics and practice solving algebraic expressions.

8 Lessons in Chapter 11: ACT Math: Algebraic Expressions
What is a Variable in Algebra?

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.

Expressing Relationships as Algebraic Expressions

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.

Evaluating Simple 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.

The Commutative and Associative Properties and Algebraic Expressions

4. The Commutative and Associative Properties and Algebraic Expressions

The order of operations is important and useful, but a few mathematical properties highlight cases where order doesn't matter. In this lesson, we'll learn about the commutative and associative properties, which may save you time and effort.

The Distributive Property and Algebraic Expressions

5. 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.

Combining Like Terms in Algebraic Expressions

6. 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.

Practice Simplifying Algebraic Expressions

7. 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.

Negative Signs and Simplifying Algebraic Expressions

8. 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.

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