Solving Systems Sum of Two Numbers Differences of Two Numbers

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)