Algebra Word Problems

One number is 4 times as large as another. Their sum is 45. What are the numbers? Select the two that apply.

• 6

• 9

• 12

• 27

• 36

Johnny borrowed $270 from you and he needs 3 months to pay it back. How much money does he need to give you each month? This problem can be shown by the equation 3m = 270 What are the steps and solution to this problem?

• Divide both sides by 3, m = 90

• Multiply both sides by 3, m = 810

• Subtract 3 from both sides, m = 267

• none of these

The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers.

• 12 and 24

• 31 and 43

• 24 and 36

• 51 and 63

The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches, find the dimensions of the rectangle.

• 9 in by 12 in

• 3 in by 14 in

• 10 in by 11 in

• 8 in by 13 in

• F.
• G.
• H.
• J.

Jada's teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weights 3 pounds. The equation 5x + 3 = 17 describes this situation. Match each amount in the story with the expression that represents it.

• The weight of all of the books.

• x

• The weight of an empty travel bag.

• 17

• The weight of each book.

• 5x

• The weight of the travel bag and books.

• • 3

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Find two consecutive numbers whose sum is 115.

• 57 and 58

• 44 and 45

• 56 and 57

• 225 and 226

Marco and Polo are making the world's largest apple pie. They will need 215 apples. Marco has already picked 95 apples. How many apples will Polo need to pick so they have enough? Select the equation that best describes this problem.

• p - 95 = 215

• 215 + p = 95

• p + 95 = 215

• 95p = 215

Find three consecutive numbers that add to give you 54.