About This Chapter
How It Works:
- Find the lesson within this chapter that corresponds to what you're studying in the Introduction to Algebra chapter of your textbook.
- Watch fun videos that cover the math concepts you need to learn or review.
- Complete the quiz after watching each video lesson to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material, or submit a question for one of our instructors.
You'll learn all of the math topics covered in the textbook chapter, including:
- Definition of variable in algebra
- Method of expressing relationships and evaluating algebraic equations
- Translations between expressions and words
- Use of words or images to rewrite a word problem
- Employ a rule to translate between an expression and a table
- Working with one-step equations
- Solving one-variable word problems
- How to solve one-step linear inequalities
Explorations in Core Math is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.
1. 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.
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. 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.
4. 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.
5. Restating Word Problems Using Words or Images
Watch this video lesson to learn how you can use sketches and notes to help you visualize a problem. Watch how easy it becomes to solve your problem once you have visualized it.
6. Translating Between Tables & Expressions
We can make an expression (or rule) from a table of ordered pairs. Given a sequence of numbers as ordered pairs, we can find an expression to represent this sequence. Furthermore, we can use such expressions to represent numerical relationships in real-world problems.
7. 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.
8. Writing & Solving Addition Word Problems with One Variable
After watching this video lesson, you will be able to write and solve addition word problems. Learn how to read your word problem, write out the algebraic equation, and then solve it for the unknown variable.
9. Writing & Solving Subtraction Word Problems with One Variable
You will be able to solve subtraction word problems after watching this video lesson. Learn how to take your word problem from words into an algebraic expression that you can solve.
10. Writing & Solving Multiplication Word Problems with One Variable
After watching this video lesson, you should be able to take a multiplication word problem and translate it into an algebraic expression that you can solve. You will also learn how to solve these problems from the expressions that you write.
11. Writing & Solving Division Word Problems with One Variable
After watching this video lesson, you should be able to solve word problems that involve the division operator. Learn how to write your math problem using an algebraic expression and then solve it.
12. Solving One-Step Linear Inequalities
In this video lesson, you will learn how you can solve any kind of linear inequality that only requires one step. Learn when you need to subtract, when you need to add, when you need to multiply, and when you need to divide.
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Other chapters within the Explorations in Core Math - Grade 6: Online Textbook Help course
- Explorations in Core Math Grade 6 - Chapter 1: Operations & Properties
- Explorations in Core Math Grade 6 - Chapter 3: Decimals
- Explorations in Core Math Grade 6 - Chapter 4: Number Theory & Fractions
- Explorations in Core Math Grade 6 - Chapter 5: Fraction Operations
- Explorations in Core Math Grade 6 - Chapter 6: Data Collection & Analysis
- Explorations in Core Math Grade 6 - Chapter 7: Proportional Relationships
- Explorations in Core Math Grade 6 - Chapter 8: Measurement & Geometry
- Explorations in Core Math Grade 6 - Chapter 9: Integers & Coordinate Plane
- Explorations in Core Math Grade 6 - Chapter 10: Functions