Write Systems of Linear Equations

• A

• B

• C

• D

• f + t = 72

  7t + 3f = 12

• t + f = 12

  3t + 7f = 72

• t + f = 12

  7t + 3f = 72

• t + f = 12

  10 ( t + f ) = 72

• A
• B
• C
• D

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

• y = 6.80 + .65x
  y=7.30+.90x

• x + y = 6.80
  x + y = 7.30

• y = 6.80+.90x
  y = 7.30 + .65x

• y + .90x = 6.80
  y + .65x = 7.30

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54
  t = 3n + 8

• t + n = 54
  n = 3t + 8

• t + n = 54
  t = 3n - 8

• t + n = 8
  t = 3n + 54

A total of 1,650 boxes of cookies were sold last week by a group of Girls Scouts. Each large box of cookies cost $3.50, and each small box of cookies cost $2.00. The Girl Scouts group earned $4,650. Which of the following systems of equations could be used to determine, l, the number of large boxes of cookies, and s, the number of small boxes of cookies sold?

• 3.50l + 2.00s = 4,650

  l + s = 1,650

• 3.50l – 2.00s = 4,650

  l + s = 1,650

• 3.50l + 2.00s = 1,650

  l + s = 4,650

• 3.50s + 2.00l = 1,650

  l – s = 4,650

Which system of two linear equations in two variables best represents the graph?

• y = 3x – 3

  y = -2x + 7

• y = 2x – 3

  y = -3x + 7

• y = 2x + 3

  y = -3x + 3.5

• y = 7x + 3.5

  y = x – 3

Eight rectangles are stacked on top of one another. The thickness of each rectangle is either 1 inch or 2 inches. The height of the stack of eight rectangles is 16 inches. Which system of equations can be used to determine x, the number of 1-inch thick rectangles in the stack, and y, the number of 2 inch-thick rectangles in the stack?

• x + y = 16

  2x + y = 8

• x + y = 16

  x + 2y = 8

• x + y = 8

  x + 2y = 16

• x + y = 8

  2x + y = 16

The length of a rectangle is 7 inches

longer than its width. The perimeter of the

rectangle is 82 inches. Which of the following

systems of equations best describes the

dimensions of the rectangle?

• l + w = 7

  l + w = 82

• l – w = 7

  2l + 2w = 82

• l + w = 7

  2l + 2w = 82

• l – w = 7

  l + w = 7

The graph represents a system of two linear equations in two variables. What is the system of linear equations that is shown on the graph?

• y = -3x + 4

  y = 3x – 2

• y = 3x + 4

  y = 3x + 2

• y = -3x + 1

  y = 3x – 2

• y = 4x – 3

  y = -2x + 3