About This Chapter
How It Works:
- Identify the lessons in the Glencoe Expressions chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the math topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn about:
- Exponential notation
- The power of powers
- The order of operations for exponential expressions
- The rules for parentheses in math
- Variables in algebra
- Algebraic and arithmetic expressions
- Changing words into algebraic expressions
- The commutative, associative, additive, distributive and multiplicative of zero properties
- Combining like terms and simplifying algebraic expressions
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1. How to Use Exponential Notation
Exponential notation is a mathematical method for writing longer multiplication problems in a simplified manner. This lesson will define how to work with exponential notation and give some examples of how it is used.
2. Power of Powers: Simplifying Exponential Expressions
Mathematics is a very logical science. There is a rule for everything and not many exceptions to those rules. Working with exponents is no different. This lesson will describe the rule for raising a power to a power and also will give some examples in how to solve them.
3. Exponential Expressions & The Order of Operations
When performing mathematical operations, there is a specific order in which the operations should be performed. This includes when to simplify the exponents. This lesson will describe in what order exponents should be solved as you are performing mathematical operations.
4. Parentheses in Math: Rules & Examples
Watch this video lesson to learn how parentheses are used in math. Learn how to read them as multiplication and how they let you know which numbers to work with first.
5. 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.
6. 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.
7. 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.
8. 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.
9. 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.
10. 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.
11. 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.
12. 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.
13. 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.
14. 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.
15. 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.
16. 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.
17. 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.
18. 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.
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Other chapters within the Glencoe Math Course: Online Textbook Help course
- Glencoe Math Chapter 1: Ratios & Rates
- Glencoe Math Chapter 2: Fractions, Decimals & Percents
- Glencoe Math Chapter 3: Compute With Multi-Digit Numbers
- Glencoe Math Chapter 4: Multiply & Divide Fractions
- Glencoe Math Chapter 5: Integers & the Coordinate Plane
- Glencoe Math Chapter 7: Equations
- Glencoe Math Chapter 8: Functions & Inequalities
- Glencoe Math Chapter 9: Area
- Glencoe Math Chapter 10: Volume & Surface Area
- Glencoe Math Chapter 11: Statistical Measures
- Glencoe Math Chapter 12: Statistical Displays