Solving Word Problems with Algebraic Subtraction Expressions

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Coming up next: Solving Word Problems with Algebraic Multiplication Expressions

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
  • 0:55 Writing Algebraic Expressions
  • 2:45 Solving the Problem
  • 3:15 Example
  • 4:10 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 be able to solve word problems that involve writing out algebraic expressions. Learn what words to look for to help you solve your problem quickly and easily.

A Word Problem

Word problems are all around us. These are just math problems written with words. In this lesson, we will talk specifically about word problems that involve the subtraction operation.

You might be surprised to find just how many instances in the real world where word problems come in. You just might be unknowingly answering various word problems throughout your day. Knowing how to solve these word problems will help you not just in passing math tests, but also in your everyday life and later on in your work life. Let's take a look at solving a possible word problem that you might encounter in your everyday life.

Jenny is keeping a record of the things that she does throughout her day. She wants to see how much free time she has every day. The record she has shows her sleeping for 8 hours, 2 hours for getting ready in the morning and breakfast, 5 hours at school, 4 hours at work, 1 hour for homework, and then another 2 hours for dinner and getting ready for bed. How much free time does Jenny have?

Writing the Algebraic Expression

We need to write out an algebraic expression that we can evaluate to find our answer. To write our algebraic expression, we carefully read the problem to figure out what our important numbers are and what kind of operation we are dealing with.

Reading over this problem, we see that it is a subtraction problem because it is asking us to find the hours in the day that are left after Jenny has done everything else. The important numbers are 8, 2, 5, 4, 1, and 2 from the amount of time she takes to do her things. There is one more important number that the problem hasn't stated. This is the amount of hours in a day. Of course, this is something that we all should know. In any case, this other important number is 24. So, now that we have all of our important numbers and we know what kind of math operation we are dealing with, we can write out our algebraic 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