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Videos, worksheets, solutions, and activities to help Algebra students learn how to solve integer word problems.

How to translate and solve a word problem dealing with consecutive integers, consecutive even integers and consecutive odd integers?

Integer Word Problems

Consecutive Integers - Algebra Help

Students learn to solve "consecutive integer" word problems, such as the following.

Example: The sum of three consecutive integers is 24. Find the integers.

Examples:

1. The sum of two consecutive integers is 99. Find the value of the smaller integer.

2. The sum of two consecutive odd integers is 40. What are the integers?

3. The sum of three consecutive even integers is 30. What are the integers?

How to translate and solve a word problem dealing with consecutive even integers.

Example: Find three consecutive even integers such that 6 times the sum of the first and the third is 24 greater than 11 times the second.

How to translate and solve a word problem involving consecutive integers (where the answer is consecutive negative integers)

Example: Leonard found four consecutive integers such that 3 times the sum of the first and the fourth was 114 less than the product of -5 and the sum of the first two. What are the integers?

How to set up and solve a word problem involving consecutive odd integers (the answer is consecutive negative odd integers)

Example: Zach found four consecutive odd integers such that 5 times the sum of the first and third was 22 greater than the product of 8 and the sum of the second and the fourth. What were the integers?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.