# Ch 4: Solving Algebraic Expressions & Equations

In this comprehensive set of math video lessons, you can practice all of the essential skills for solving algebraic expressions and equations. Take the quick quiz offered at the end of each lesson to measure your progress.

## Solving Algebraic Expressions and Equations - Chapter Summary and Learning Objectives

Start this chapter out on the right foot by learning how to determine the appropriate setup for math problem solutions. Then explore the strategies for understanding, evaluating, and simplifying expressions. Finish up with an abundance of practice in defining, translating and solving equations in both numbers and words. When you've completed all the lessons in this comprehensive chapter, you should feel confident in the following math concepts and operations:

• Evaluation of math formulas
• Combining like terms
• Negative signs in simplification of expressions
• Common algebraic equations
• Solving equations in number and word problems

Video Objective
What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions Show methods for using operations, numbers and math processes for solutions.
Understanding and Evaluating Math Formulas Take a look at various math formulas and determine which ones to use in specific problems.
Expressing Relationships as Algebraic Expressions Review the concept of algebraic expressions.
Evaluating Simple Algebraic Expressions Find out how to evaluate expressions by replacing variables with given values.
Combining Like Terms in Algebraic Expressions Explore methods for simplifying expressions by removing grouping symbols or combining like terms.
Practice Simplifying Algebraic Expressions Put your simplification skills into practice through exercises.
Negative Signs and Simplifying Algebraic Expressions Learn how to deal with negative signs when simplifying expressions.
Writing Equations with Inequalities: Open Sentences and True/False Statements Examine what is represented by inequalities, open sentence and true/false statements in equations.
Common Algebraic Equations: Linear, Quadratic, Polynomial, and More Take a look at the general format of quadratic, linear, general polynomial, cubic, radical and rational equations.
Defining, Translating, & Solving One-Step Equations Find out about the parts of equations, the process of translating into expressions and strategies for solving one-step equations.
Solving Equations Using the Addition Principle Use the addition principle for solving equations.
Solving Equations Using the Multiplication Principle Solve equations with the help of the multiplication principle.
Solving Equations Using Both Addition and Multiplication Principles Employ both principles to efficiently solve equations.
Collecting Like Terms On One Side of an Equation Practice determining whether like terms need to be collected on one side and the steps for doing so.
Solving Equations Containing Parentheses Learn to remove parentheses, collect like terms and solve equations with infinite or no solutions.
Translating Words to Algebraic Expressions Follow instructor's suggestions for translating words into algebraic expressions by changing words into symbols and identifying phrasing associated with arithmetic symbols.
How to Solve One-Step Algebra Equations in Words Problems Practice strategies for solving one-step problems expressed in words.
How to Solve Equations with Multiple Steps Learn the sequence for solving multi-step equations.
How to Solve Multi-Step Algebra Equations in Word Problems Use previously learned strategies to solve multi-step problems expressed in words.

19 Lessons in Chapter 4: Solving Algebraic Expressions & Equations
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

### Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.