Review of Algebra

Match the following situations with the correct algebraic expression.

• Grayson walked 12 times as much as he ran.

• Gavin walked 12 miles less than he ran.

• Esther walked and ran a total of 12 miles.

• Karla ran 12 miles less than she walked.

• Brandon ran 12 times as much he walked.

A university will spend $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard will cost $50.

 

Which equation represents x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab?

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

Copland competes in 27 swimming events this season. He wins either first place or second place in each event. Copland has 3 more first-place wins than second-place wins. Which system of equations represents this story?

There are 47 people attending a play at an outdoor theater. There are 11 groups of people sitting in groups of 3 or 5. Which system of equations best represents this story?