Algebra 2 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

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

Find two consecutive numbers whose sum is 115.

• 57 and 58

• 44 and 45

• 56 and 57

• 225 and 226

p + 95 = 215

What is the best first step to solve this equation?

• Add 95 to both sides.

• Subtract 215 from both sides.

• Subtract 95 from both sides.

• Subtract "p" from both sides.

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

• 15

• 1.667

• 8

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

Find three consecutive numbers that add to give you 54.

Find two consecutive numbers that add to give you 197.