About This Chapter
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.
1. 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.
2. 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.
3. 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.
4. 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.
5. 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.
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.
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.
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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Other chapters within the ACT Prep: Practice & Study Guide course
- ACT: About the Test
- ACT English: Section Overview
- ACT English: Punctuation
- ACT English: Grammar and Usage
- ACT English: Sentence Structure
- ACT English: Production of Writing
- ACT English: Style
- ACT Writing: Overview
- ACT Writing: Essay Skills
- ACT Reading: Overview
- ACT Reading: Question Types
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- ACT Reading: Analyzing Reading Passages
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- ACT Reading: Practice
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- ACT Math: Rational Equations and Expressions
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- ACT Science Reasoning: Evaluating Models
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