Copyright

Solving Word Problems with Algebraic Division Expressions

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Coming up next: What is Perimeter? - Definition & Formula

You're on a roll. Keep up the good work!

Take Quiz Watch Next Lesson
 Replay
Your next lesson will play in 10 seconds
  • 0:00 A Word Problem
  • 0:35 Writing the Expression
  • 1:15 Solving It
  • 1:55 Example
  • 2:30 Lesson Summary
Save Save Save

Want to watch this again later?

Log in or sign up to add this lesson to a Custom Course.

Log in or Sign up

Timeline
Autoplay
Autoplay
Speed Speed
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.

To unlock this lesson you must be a Study.com Member.
Create your account

Register to view this lesson

Are you a student or a teacher?

Unlock Your Education

See for yourself why 30 million people use Study.com

Become a Study.com member and start learning now.
Become a Member  Back
What teachers are saying about Study.com
Try it risk-free for 30 days

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.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Create an account to start this course today
Try it risk-free for 30 days!
Create an account
Support