Solving Word Problems with Algebraic Division Expressions

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  • 0:00 A Word Problem
  • 0:35 Writing the Expression
  • 1:15 Solving It
  • 1:55 Example
  • 2:30 Lesson Summary
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Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

After watching this video lesson, you will know how to solve word problems that involve the division operator. Learn how to set up your word problem and write an appropriate algebraic expression that you can solve.

A Word Problem

In this lesson, we will talk about solving word problems that involve the division operator. A word problem is a math problem written in words. Specifically, we will talk about those word problems that involve the division operator.

You will find these types of problems not only in your math classes and on tests, but also in real life. Being able to solve them is a good skill to have so that you can answer your own questions as well as those on tests. To help us with our lesson, let's work through this word problem.

Anthony has divided his collection of toy cars into 6 equal groups. Each group contains 7 cars. How many toy cars does Anthony have?

Writing the Algebraic Expression

To help us answer the question, we need to write out an algebraic expression. In order for us to do so, we need to fully understand our problem, what is going on, and what is being asked of us. So, carefully reading the problem, we see that the problem has Anthony dividing his collection of toy cars into 6 equal groups. After he is done dividing his toy cars, we see that each group has 7 cars.

The algebraic expression here is x / 6 = 7. This expression shows that after dividing the number of toy cars, our variable, into 6 groups, we will have 7 in each group.

Solving It

Now that we have this expression, we can now find our answer by solving this expression for our variable. To solve for our variable, we need to perform inverse operations to isolate the variable. We need to perform this operation on both sides of the expression.

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