# Ch 24: MTTC Mathematics (Elementary): Solving Algebraic Expressions

### About This Chapter

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

Use these lesson videos to improve your skills in solving one-step algebra equations, multiple-step algebra equations, linear inequalities and word problems with algebraic expressions. Our professional instructors will explain these processes to prepare you for related questions on the Michigan Test for Teacher Certification (MTTC) Mathematics (Elementary) exam that may require you to:

- Understand the addition and multiplication principle of algebra
- Collect like terms in an algebraic expression
- Solve equations with parentheses in them
- Use key words to translate word problems into algebraic expressions
- Complete one-step algebra equations and multiple-step equations
- Solve word problems with one-step and multiple-step equations
- Work with linear inequalities

If you don't have much time to study, take advantage of the versatility of these lesson videos and watch them on your internet-ready mobile device whenever you have a spare moment. To reinforce your retention of the information, read the lesson transcripts, then test your understanding by taking the lesson quizzes. If you discover topics that confuse you, ask our instructors for assistance via the 'teacher' tabs of the lessons.

### 1. 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.

### 2. 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.

### 3. Solving Equations Using Both Addition and Multiplication Principles

Most times in algebra, to solve for your variable, you will need to perform more than one operation to get your answer. Watch this video lesson to learn the proper steps to take to solve these equations.

### 4. Collecting Like Terms On One Side of an Equation

When you are using algebra to solve your problems, one of your biggest and most often used methods is that of collecting like terms. Watch this video lesson to see how it is done.

### 5. Solving Equations Containing Parentheses

When we have parentheses in our equations it changes the way we solve them. Now we have an added step to do to remove those parentheses. Watch this video lesson to learn how it is done.

### 6. 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.

### 7. How to Solve One-Step Algebra Equations in Word Problems

Word problems may be considered the most evil math invention ever, but never fear! Just watch this video lesson and you will know how to methodically translate these word problems into simple math and then to solve it.

### 8. How to Solve Equations with Multiple Steps

In algebra, when you want to solve an equation for a particular variable, you will need to perform multiple steps that include adding, subtracting, multiplying, and dividing. Watch this video lesson to learn the order you need to do these steps.

### 9. How to Solve Multi-Step Algebra Equations in Word Problems

After watching this video lesson, you will be able to solve word problems like a pro. Learn how to setup your problem, write your equations and then solve your equations to find your answer.

### 10. Solving Linear Inequalities: Practice Problems

Linear inequalities may look intimidating, but they're really not much different than linear equations. In this lesson, we'll practice solving a variety of linear inequalities.

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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): Understanding 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