__Questions:__**Translate each situation into an algebraic equation. Then solve.**

- The sum of a number and twice that number is 15. What is the number?
- The sum of 7 and twice a certain number is 10 more than the number. What is the number?
- One number is 5 less than another. The sum of the two numbers is 181. Find the two numbers.
- When the sum of 8 and a certain number is increased by 12, the result is the same as the product of 3 and the number. What is the number?
- The sum of two consecutive numbers is 49. What is the lesser number?
- George is 5 times as old as his son. In 15 years, he will be only twice as old as his son. How old will his son be in 15 years?
- The sum of three consecutive even numbers is 30. What is the greatest of the three even numbers? (Hint: Let x represent the first even number. Let x + 2 represent the second even number.)
- Nora is 4 years older than Diana. Two years from now, Nora will be twice as old as Diana. How old is Diana now?
- A bank teller had 125 $10 and $5 bills to start a day. If the total value of the bills was $1,000, how many $5 bills did the teller have? [Hint: If x equals the number of $5 bills, then 5x equals the value of the $5 bills. The number of $10 bills is 125 - x, and the total value of the $10 bills is 10(125 - x).]
- Twice a number divided by 4 is 16. What is the number?
- The sum of three consecutive odd numbers is 315. What are the numbers? (Hint: If x represents the first odd number, the second number is x + 2.)
- One number is two more than three times another. The sum of the numbers is 26. What is the lesser number?
- Armando works part-time at a pet store. This week he earned $18 less than 4 times the amount he earned last week. His total earnings for the two weeks were $262. How much did he earn this week?
- There are two consecutive numbers. The sum of the lesser number and three times the greater number is 103. Find the two numbers.
- A shoe store sold 340 pairs of shoes in one day. The number of pairs of athletic shoes sold was 4 more than twice the number of pairs of dress shoes sold. How many pairs of athletic shoes were sold?
- A school sold 200 tickets to a play. Ticket prices were $8 per adult and $5 per child. If the total sales for the tickets came to $1,414, how many children's tickets were sold? (Hint: If x adult tickets were sold, then 200 - x children's tickets were sold.)
- Erika's uncle is three times as old as she is now. Four years ago, he was four times as old as she was then. How old is Erika now?

Answers:

- 5
- 3
- 88 and 93
- 10
- 24
- 20
- 12
- 2
- 50
- 32
- 103, 105, and 107
- 6
- $206
- 25 and 26
- 228 pairs
- 62
- 12

Reference:

Complete Test Preparation for the GED Test 2014 by Steck-Vaughn