This strategy will help you become successful with word problems. We’ll demonstrate the strategy as we solve the following problem. Now we will translate and solve number problems. In number problems, you are given some clues about one or more numbers, and you use these clues to build an equation. Number problems don’t usually arise on an everyday basis, but they provide a good introduction to practicing the Problem Solving Strategy. Remember to look for clue words such as difference, of, and and.

- Number problems don’t usually arise on an everyday basis, but they provide a good introduction to practicing the Problem Solving Strategy.
- The sum of three times a number and seven is 25.
- In the next example, we will apply our Problem Solving Strategy to more applications of percent.
- If we take control and believe we can be successful, we will be able to master word problems.
- You have also translated word sentences into algebraic equations and solved some word problems.

© Mar 3, 2022 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . This book may not be used in the training of large language models or otherwise be ingested into large language models or generative current vs capital expenses AI offerings without OpenStax’s permission. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the Internet.

## Use a Problem-solving Strategy for Word Problems

In earlier chapters, you translated word phrases into algebraic expressions, using some basic mathematical vocabulary and symbols. Since then you’ve increased your math vocabulary as you learned about more algebraic procedures, and you’ve had more practice translating from words into algebra. Now we’ll develop a strategy you can use to solve any word problem.

## 1: Use a Problem Solving Strategy (Part

Then translate the sentence into an equation. If we take control and believe we can be successful, we will be able to master word problems. When we feel we have no control, and continue repeating negative thoughts, we set up barriers to success. We need to calm our fears and change our negative feelings.

## Contributors and Attributions

Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information.

The sum of three times a number and seven is 25. The sum of four times a number and two is 14. We list the steps we took to solve the previous example.

## Contributors and Attributions

You have also translated word sentences into algebraic equations and solved some word problems. The word problems applied math to everyday situations. You had to restate the situation in one sentence, assign a variable, and then https://intuit-payroll.org/ write an equation to solve. This method works as long as the situation is familiar to you and the math is not too complicated. In the next example, we will apply our Problem Solving Strategy to more applications of percent.