Ch 16: MTEL Middle School Math/Science: Principles of Algebra

About This Chapter

As you prepare for the MTEL Mathematics/Science (Middle School) exam, this chapter will help you review distributive processes and properties, simplification rules and graphing procedures in algebra.

MTEL Middle School Math/Science: Principles of Algebra - Chapter Summary

Watch our professional instructors in this chapter of lesson videos to improve your algebraic skills for the Massachusetts Test for Educator Licensure (MTEL) Mathematics/Science (Middle School) exam. In these lessons, you will review the principles of algebra and improve your understanding of:

  • Distributing multiple terms in algebra
  • Commutative and associative properties
  • Distributive property
  • Combining like terms when simplifying expressions
  • Using the addition and multiplication principles to solve equations
  • Graphing one- and two-variable inequalities

For an additional review of these lessons, read the transcripts that offer written overviews of the above principles, which you can use to fortify your understanding. After studying these lessons, take the quizzes to gauge your knowledge. Using the video tags from your quiz results, go to the locations of the videos that discuss the material you didn't master and study it to improve your comprehension.

MTEL Middle School Math/Science: Principles of Algebra Objectives

Individuals seeking certification from the state of Massachusetts take the MTEL Mathematics/Science (Middle School) exam to demonstrate their scientific knowledge and mathematical skills. It is a computer-based certification exam that involves 100 multiple-choice and two constructed-response questions, administered in a four-hour testing session. Of the material covered in it, 12% will test your understanding of mathematical patterns, relations and algebra. This chapter has been assembled to help you improve your algebraic skills by reviewing the principles of algebra.

9 Lessons in Chapter 16: MTEL Middle School Math/Science: Principles of Algebra
Test your knowledge with a 30-question chapter practice test
Distribution of More Than One Term in Algebra

1. Distribution of More Than One Term in Algebra

Once we've mastered distributing a single term, it's time to raise the stakes. In this lesson, we'll learn how about distribution involving two, three and even more terms.

The Commutative and Associative Properties and Algebraic Expressions

2. 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

3. 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

4. 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.

Practice Simplifying Algebraic Expressions

5. 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.

Solving Equations Using the Addition Principle

6. Solving Equations Using the Addition Principle

In algebra, we have certain principles that we use to help us solve equations quickly and easily. The addition principle is one of them. Watch this video lesson to learn how you can apply it to solve your equations.

Solving Equations Using the Multiplication Principle

7. Solving Equations Using the Multiplication Principle

When it comes to solving equations in algebra, one of the essential skills you need is the ability to multiply. Watch this video lesson to learn how you can use the multiplication principle to isolate your variable.

How to Graph 1- and 2-Variable Inequalities

8. How to Graph 1- and 2-Variable Inequalities

So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!

Graphing Inequalities: Practice Problems

9. Graphing Inequalities: Practice Problems

If you're already pretty familiar with what inequalities are and just looking for a place to practice your skills, this is the place. This lesson covers topics like 1-variable, 2-variable, compound, and systems of inequalities.

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.
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Other Chapters

Other chapters within the MTEL Mathematics/Science (Middle School)(51): Practice & Study Guide course

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