About This Chapter
Basic Algebraic Expressions - Chapter Summary
The lessons in this chapter begin with variables used in algebra and then move on to algebraic expressions. You'll get examples of these expressions and examine practical applications of expressions with one variable and multiple variables. You can also learn how to evaluate basic algebraic expressions by substituting numbers for the variables, while you follow the order of operations.
As you work your way through the lessons, you can learn how to use mathematical laws, such as the commutative, associative and distributive properties, to help you solve algebraic expressions. In addition, you can practice simplifying algebraic expressions, including those with negative signs. Some of this chapter's major topics are listed below:
- Variables, constants and coefficients used in equations
- Representations of number relationships through algebraic expressions
- Methods for evaluating algebraic expressions
- Math properties used to work with equations
- Combination of like terms to simplify expressions
This chapter gives you plenty of practice in simplifying expressions by using the distributive property and combining like terms. In addition, all of the lessons end with a short quiz, so you can measure your understanding of the topics. If you need to go back and check on any concepts, the handy video tags can help you find just the right section to watch. Besides viewing the videos, you can also read the lessons in written transcript form at any time.
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. 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.
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.
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 SAT Subject Test Mathematics Level 1: Practice and Study Guide course
- Basic Arithmetic Calculations
- Rational Numbers
- Square Roots
- Decimals and Percents
- Algebraic Linear Equations & Inequalities
- Algebra: Absolute Value Equations & Inequalities
- Algebra: Polynomials
- Understanding the Basics of Functions
- Algebra: Rational Expressions
- Mathematical Sequences
- Understanding Exponentials & Logarithms
- Complex and Imaginary Numbers
- Coordinate Geometry - Graphing
- Lines and Angles
- Properties of Triangles
- Properties of Circles
- Finding Perimeter, Area & Volume
- Solid Geometry
- Trigonometry Basics
- Understanding Probability & Statistics
- SAT Subject Test Mathematics Level 1 Flashcards