Solving Word Problems with Algebraic Multiplication Expressions

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  • 0:00 A Word Problem
  • 1:35 Solving the Problem
  • 2:20 Example
  • 3:05 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.

Watch this video lesson to learn how you can solve word problems that involve the multiplication operation. Learn how to write your expression and then how to solve the expression to find your answer.

A Word Problem

Word problems are very common in our world. A word problem is a math problem written in words. Instead of seeing a typical math problem such as 3x = 6, you will instead see a bunch of words describing a scenario and then a question to answer. In order to find your answer, you will need to come up with the math expression yourself. In this lesson, we focus our attention just on the word problems that involve the multiplication operation. To help us out, we will look at solving this word problem.

Shane has three kids. If he hands each kid their weekly allowance, he will have given out a total of six dollars. How much is each kid's weekly allowance?

Writing the Expression

Before we can solve this problem, we need to write out our algebraic expression. To do this, we carefully read our problem so that we have a good idea of what is going on and what is being asked. Once we know what is going on and what is being asked for, we can build our algebraic expression.

Looking carefully at our problem, we see that Shane has three kids that he gives an allowance to. Each kid gets the same allowance. To find the total allowance, we would multiply the number of kids by what each kid gets. The problem also tells us that the total allowance Shane gives is six dollars. The problem asks us to find the allowance that each kid gets.

From this information, we can write out our expression. We don't know how much allowance each kid gets, so we will represent that with an x. Since we need to multiply the number of kids by the allowance, we will multiply the three kids with the x. This will equal six dollars, the total allowance given.

3x = 6

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