Solving Systems Sums Differences

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  Which system of equations represents the situation?

• 2x + 3y = 55
  2x + 5y = 3
• x + y = 55
  x - y = 3
• x + y = 3
  x - y = 55

The difference of a and b is 3. The sum of the variables is 13. Find the numbers.

• a = 7
  b = 10
• a = 8
  b = 5
• a = 10
  b = 13

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

The length of a rectangle is 3 times the width. The perimeter of the rectangle is 72 feet. What is the area of the rectangle?

• 243
• 36
• 9
• 24

Narissa wants to put a wooden border around the edge of her rectangular dining room floor. She knows the perimeter of the dining room is 64 feet and that the dining room's length is 4 feet less than its width. Which system of equations can Narissa use to determine the length, l, and the width, w, of the dining room in feet?

• l + w = 64

  l = w - 4

• 2l + 2w = 64

  l = w + 4

• 2l + 2w = 64

  l + w = 4

• 2l + 2w = 64

  l = w - 4

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2. Solve:

• (-6, -4)
• (6, -16)
• (-14, -4)
• (-4, -6)

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  
Solve: x=Mr M, y=Ms C

• (26, 23)
• (26, 29)
• (29, 26)
• (29, 32)