Algebra 2 Word Problems

Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?

• x - y = -10
  x + y = -2

• x = -2
  y = 5

• x + y = -2
  x - y = -10

• x + y = -10
  x - y = -2

Mario had 102 dollars to spend on 9 books. After buying them he had 21 dollars. How much did each book cost ?

• $9

• $10

• $8

• $11

Same cell phone plan: You're paying for a cell phone plan that charges $30 per month if you stay under 500 texts. For each additional text over 500, you pay ten cents ($0.10) per text.

You only have enough money every month to afford $35 for your cell phone.

Which inequality shows how you could calculate the number of texts you can send and still stay on (or below) budget? (let t = number of texts)

• 
• 
• 
• 

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

Cherokee High School order two copiers plus a supply of toner cartridges. Each copier cost $675, and each cartridge cost $80. If the total cost was $2310, how many cartridges were ordered?

• 20 cartridges were ordered.

• 21 cartridges were ordered.

• 12 cartridges were ordered.

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

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

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 two consecutive numbers that add to give you 197.