# Ch 23: MTTC Mathematics (Elementary): Understanding Algebraic Expressions

### About This Chapter

## MTTC Mathematics (Elementary): Understanding Algebraic Expressions - Chapter Summary

Use these lesson videos to prepare for exam questions on the Michigan Test for Teacher Certification (MTTC) Mathematics (Elementary) exam regarding how to compose and write algebraic expressions. Each lesson is taught by one of our expert instructors, who is available to answer any questions you may have about these processes. Use this chapter to improve your skills:

- Understanding how algebraic expressions represent relationships
- Evaluating algebraic expressions using substitution and the order of operations
- Combining like terms when working with algebraic expressions
- Simplifying algebraic expressions with negative signs
- Using inequalities to write open sentences and true or false statements
- Identifying some of the common algebraic equations
- Translating word problems in to mathematical equations

Following these lessons, read the lesson transcripts for a written overview of the material that will help you fortify your retention of the information presented. After you complete your review of a lesson, test your understanding of the material by completing its quiz. The results from these short assessments will allow you to discover the topics you don't understand and provide you with video tags you can use to return to and review the parts of the lessons that discussed them.

### 1. 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.

### 2. 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 6. 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.

### 7. Common Algebraic Equations: Linear, Quadratic, Polynomial, and More

Watch this video lesson to see the kinds of equations that you will come across most often in algebra. Learn to distinguish them by just looking for the identifying components of each equation.

### 8. Defining, Translating, & Solving One-Step Equations

Watch this video lesson to learn how you can write a simple math equation when you are given a word problem. Learn how to translate words into math symbols. Learn the shortcuts to remember.

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### Other Chapters

Other chapters within the MTTC Mathematics (Elementary) (089): Practice & Study Guide course

- MTTC Mathematics (Elementary): Mathematical Reasoning
- MTTC Mathematics (Elementary): Problem-Solving Strategies
- MTTC Mathematics (Elementary): Proportions & Ratios
- MTTC Mathematics (Elementary): Principles of Fractions
- MTTC Mathematics (Elementary): Operations with Fractions
- MTTC Mathematics (Elementary): Introduction to Decimals
- MTTC Mathematics (Elementary): Operations with Decimals
- MTTC Mathematics (Elementary): Percents
- MTTC Mathematics (Elementary): Whole Numbers & Number Terms
- MTTC Mathematics (Elementary): Real Numbers
- MTTC Mathematics (Elementary): Properties of Numbers
- MTTC Mathematics (Elementary): Integers
- MTTC Mathematics (Elementary): Rational Numbers
- MTTC Mathematics (Elementary): Mathematical Operations
- MTTC Mathematics (Elementary): Factoring & Divisibility
- MTTC Mathematics (Elementary): Prime Factorization
- MTTC Mathematics (Elementary): Roots
- MTTC Mathematics (Elementary): Exponents
- MTTC Mathematics (Elementary): Exponential Expressions & Scientific Notation
- MTTC Mathematics (Elementary): Absolute Value
- MTTC Mathematics (Elementary): Sequences & Series
- MTTC Mathematics (Elementary): Patterns & Functions
- MTTC Mathematics (Elementary): Solving Algebraic Expressions
- MTTC Mathematics (Elementary): Linear Equations
- MTTC Mathematics (Elementary): Graphing Linear Equations
- MTTC Mathematics (Elementary): Properties of Polynomial Functions
- MTTC Mathematics (Elementary): Properties of Quadratic Functions
- MTTC Mathematics (Elementary): Properties of Rational Functions
- MTTC Mathematics (Elementary): Exponential & Logarithmic Functions
- MTTC Mathematics (Elementary): Trigonometric Functions
- MTTC Mathematics (Elementary): Calculus Concepts
- MTTC Mathematics (Elementary): Principles of Measurement
- MTTC Mathematics (Elementary): Lines in Geometry
- MTTC Mathematics (Elementary): Geometric Figures
- MTTC Mathematics (Elementary): Triangles
- MTTC Mathematics (Elementary): Triangle Proofs & Theorems
- MTTC Mathematics (Elementary): Quadrilaterals
- MTTC Mathematics (Elementary): Polygons
- MTTC Mathematics (Elementary): Circles & Circular Arcs
- MTTC Mathematics (Elementary): Principles of Geometric Solids
- MTTC Mathematics (Elementary): Symmetry & Parallel Lines
- MTTC Mathematics (Elementary): Transformations in Geometry
- MTTC Mathematics (Elementary): Coordinate Geometry
- MTTC Mathematics (Elementary): Organizing Data
- MTTC Mathematics (Elementary): Summarizing Data
- MTTC Mathematics (Elementary): Sampling & Prediction
- MTTC Mathematics (Elementary): Regression & Correlation
- MTTC Mathematics (Elementary): Probability
- MTTC Mathematics (Elementary): Probability Distributions
- MTTC Mathematics (Elementary): Discrete Mathematics
- MTTC Mathematics (Elementary) Flashcards