| Step 1 | Call the first integer x. |
| Step 2 | Make a table that has a variable expression for every unknown integer that the problem requires. Because consecutive integers are one apart, we can use the x, x+1, x+2.... pattern. |
| Step 3 | Write an equation that reflects the information in the problem. (Look for the is.) |
| Step 4 | Solve the equation. |
| Step 5 | Answer the question. |
Directions: Please answer the following question.
The sum of four consecutive integers is 138. What is the product of the third and fourth integers?
| Step 1 | Let x = 1ST integer | ||||||||
| Step 2 |
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| Step 3 | x+(x+1)+(x+2)+(x+3)=138 | ||||||||
| Step 4 | 4x+6=138 4x=132 x=33 |
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| Step 5 | The third and fourth integers are 35
& 36 There product is 35*36=1260 |
Directions: Please answer the following questions.
1. The sum of three consecutive integers is 1371. What are the three integers?
2. The sum of four consecutive integers is 90. What is the product of the first and fourth integer?
3. The sum of four consecutive integers is 330. What is the average of the first and the third integers?
4. The sum of five consecutive integers is 25. What is the product of all of the integers?
5. The sum of three consecutive integers is twenty-one more than twice the third integer. What are the three integers?
6. The sum of four
consecutive integers is two more than twice the second integer.
What is the second integer?