Page 51 - Math Course 1 (Book 2)

Multi-Step Linear Equations

Solve a Consecutive Integer Problem

Find three consecutive even integers whose sum is 84.
A. 28, 30, 32
B. 26, 28, 30
C. 20, 20, 24
D. 40, 20, 24

Answer

Skill Practice!

Solve each problem by working backward.
1.A number is divided by 2, and then the quotient is added to 8. The result is 33. Find the number.

2. Two is subtracted from a number, and then the difference is divided by 3. The result is 30.Find the number.

3.A number is multiplied by 2, and then the product is added to 9. The result is 49. What is the number?

4. ALLOWANCE After Ricardo received his allowance for the week, he went to the mall with some friends. He
spent half of his allowance on a new paperback book. Then he bought himself a snack for $1.25. When he
arrived home, he had $5.00 left. How much was his allowance?

Solve each equation. Then check your solution. Write an equation and solve each problem.

5. 5x + 3 = 23 23. Twice a number plus four equals 6. What is the
number?

6. 4 = 3a – 14

7. 2y + 5 = 19 24. Sixteen is seven plus three times a number. Find
the number.

8. 6 + 5c = –29

9. 8 – 5w = –37 25. Find two consecutive integers whose sum is 35.

10. 18 – 4v = 42
26. Find three consecutive integers whose sum is 36.
n
11. – 8 = –2
3

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