About This Chapter
Algebraic Expressions & Equations - Chapter Summary
Our informative chapter on algebraic expressions and equations explains variables, coefficients and like terms. Each short lesson is followed by a multiple-choice quiz you can use to test your understanding before you move on in the chapter. Some lessons include practice problems. All of our learning tools are available to you 24 hours a day on your mobile device or computer. If you have questions along the way, reach out to one of our instructors for help. This chapter is designed to help you:
- Translate words into algebraic expressions
- Simplify algebraic expressions in practice problems
- Express relationships as algebraic expressions
- Use exponents to simplify expressions
- Explain how algebraic expressions are simplified with negative signs
- Solve linear equations with substitution
- Describe what an inequality is
- Translate math sentences into inequalities
- Use open sentences and true/false statements to write equations with inequalities
1. What are Variables in Math? - Definition & Examples
Variables are seen in almost all math applications beginning with algebra. In this lesson, learn why variables are not something to be afraid of or some concept that is impossible to grasp. Learn what makes them so useful to mathematicians and to you.
2. Coefficients: Definition & Concept
Coefficients come in different forms and can tell you many things about a graph. Learn more about coefficient in this lesson, and check your understanding with a quiz.
3. Like Terms in Math: Definition & Examples
In this lesson, you will learn how to distinguish between like and unlike terms as well as how to combine like terms in order to simplify an expression.
4. 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.
5. 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.
6. 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.
7. How to Simplify Expressions with Exponents
In this video, we will put all of the exponent properties we have learned together. Don't let lots of numbers and letters confuse you! Simplifying exponents can be easy and fun!
8. Simplifying Expressions with Rational Exponents
Simplifying expressions with rational exponents is so easy. In fact, you already know how to do it! We simply use the exponent properties but with fractions as the exponent!
9. 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.
10. Solving Linear Equations With Substitution
Solving for the unknowns in a set of linear equations is a common task in math, science and engineering. In this lesson, we look at the substitution method as a systematic approach to finding the unknown values.
11. What is an Inequality?
Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!
12. Translating Math Sentences to Inequalities
Watch this video lesson to learn how you can easily translate math sentences into inequalities. Once you know how to do this, solving word problems becomes that much easier.
13. Writing Equations with Inequalities: Open Sentences and True/False Statements
After watching this video lesson you will be able to write open sentences and true or false statements that use inequalities. You will also be able to solve and/or determine whether a particular inequality is true or false.
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Other chapters within the 8th Grade Math course
- Number Systems & Theory
- Problem-Solving in Real World Math
- Graphing Lines & Inequalities
- Proportional Relationships & Linear Equations
- 6th-8th Grade Algebra: Systems of Linear Equations
- Graphical Transformations
- Geometry of Congruent & Similar Figures
- Geometry & Properties of Triangles
- Geometry of Three-Dimensional Objects
- Evaluating & Calculating Probability
- Measuring & Graphing Statistical Distributions