### About Consecutive Integer Word Problems:

When solving a word problem, the most important step is to understand the main objective. This gives the student a laser focus. We can then filter through all of the information, leading to an equation that can be solved. We then provide an answer and check to make sure it is reasonable.

Test Objectives

- Demonstrate the ability to read a word problem and understand the main objective
- Understand how to set up an equation based on the information given in a word problem
- Demonstrate the ability to check the solution to a word problem

#1:

Instructions: solve each word problem.

a) Three consecutive integers have a sum of 24. Find the integers.

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#2:

Instructions: solve each word problem.

a) Six consecutive odd integers have a sum of 12. Find the integers.

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#3:

Instructions: solve each word problem.

a) The perimeter of a triangle is equal to the sum of the lengths of the three sides. Suppose that the lengths of the sides of a triangle are consecutive even natural numbers. What is the length of each side if the perimeter of the triangle is 66 inches?

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#4:

Instructions: solve each word problem.

a) If five times the smaller of two consecutive even integers is added to three times the larger, the result is 150. What are the integers?

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#5:

Instructions: solve each word problem.

a) There are three consecutive even integers such that 3 times the smallest plus 6 times the largest is the same as adding 19 to the result of 5 times the sum of the middle integer and 7. What are the integers?

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Written Solutions:

#1:

Solutions:

a) 7, 8, 9

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#2:

Solutions:

a) -3, -1, 1, 3, 5, 7

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#3:

Solutions:

a) 20 inches, 22 inches, 24 inches

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#4:

Solutions:

a) 18, 20

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#5:

Solutions:

a) 10, 12, 14