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Ch 21: MTLE Basic Skills: Algebraic Patterns & Expressions

About This Chapter

Our chapter on algebraic patterns and expressions uses engaging video lessons and practice quizzes to help prepare you for math material on the MTLE Basic Skills exam.

MTLE Basic Skills: Algebraic Patterns & Expressions - Chapter Summary

Gathering new information or reviewing material you already know about algebraic patterns and expressions for the MTLE Basic Skills exam is made possible with the lessons in this chapter. They are great for helping you go over:

  • Solving mathematical patterns
  • Expressing relationships in algebraic form
  • Variables in algebra
  • Simple algebraic expressions
  • Simplifying addition, subtraction, multiplication and division expressions
  • Order of operations for simplifying with parenthesis and exponents
  • Commutative and associative properties
  • The distributive property
  • Combining like terms

You'll gain skills for solving problems that deal with expressions and mathematical patterns when you review the video lessons in this chapter. Each lesson is about five minutes long, so your attention span will not be affected. Take advantage of our self-assessment quizzes to see if the lesson content stuck. Thanks to this chapter, you will be fully prepared for any type of question on the MTLE Basic Skills exam.

12 Lessons in Chapter 21: MTLE Basic Skills: Algebraic Patterns & Expressions
Test your knowledge with a 30-question chapter practice test
Recognizing and Solving Mathematical Patterns

1. Recognizing and Solving Mathematical Patterns

Patterns show up in the world around us on a daily basis. In this lesson, we will define mathematical patterns and look at recognizing and solving these patterns. We will examine examples to solidify our understanding of this process.

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.

What is a Variable in Algebra?

3. 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.

Evaluating Simple Algebraic Expressions

4. 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.

How to Simplify an Addition Expression

5. How to Simplify an Addition Expression

Learn how to simplify and combine like terms in any algebraic expression that uses addition with this lesson. Also learn how to follow the order of operations when simplifying your expression.

How to Simplify a Subtraction Expression

6. How to Simplify a Subtraction Expression

After watching this video lesson, you will be able to simplify any subtraction expression by combining like terms. Learn what to look for and how easy this is to do.

How to Simplify a Multiplication Expression

7. How to Simplify a Multiplication Expression

In this video lesson, you will learn how to simplify a multiplication expression that has both numbers and variables in it. Learn what you need to watch for and how to write your simplified expression.

How to Simplify a Division Expression

8. How to Simplify a Division Expression

Watch this video lesson to learn how to simplify a division problem that has both numbers and letters in it. See what you need to do to get the correct answer. Also, learn what you can do to make your job easier.

How to Simplify an Expression with Parentheses & Exponents

9. How to Simplify an Expression with Parentheses & Exponents

Watch this video lesson to learn how important it is to follow the order of operations. Learn what to do when you see parentheses and exponents in your math problems.

The Commutative and Associative Properties and Algebraic Expressions

10. 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

11. 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

12. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the MTLE Basic Skills: Practice & Study Guide course

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