Solving Equations Using Models

Mr. G buys b burritos at Kroger for d dollars each. Mr. G spends a total of t dollars on burritos. Create an equation that represents the relationship between t and d. 

• b = t d

• d = t b

• t = b d

• t = Total

  d = Cost

  b = Burritos

A bowling alley charges x dollars per guest and a fixed $40 rental fee for parties.

 

Which equation represents the total cost, y, for 5 guests?

• y = 5x + 40

• y = 5x + 35

• y = 5x

• y = 40x + 5

The perimeter of a regular 6-sided figure is 54 units, and the length of each side is x + 3 units.

What is the value of x?

• 6

• 9

• 10

• 3

Mike purchases a cell phone plan, which includes a cell phone and cell phone service.  He makes a deposit of $200 for the cell phone and then pays $50 per month for the cell phone service. Which of the following equations correctly models the total amount of money, y, in dollars, Mike spends on the cell phone and plan after x months?

• y = 200x + 50

• y = 50x - 200

• y = 50x + 200

• y = 200x - 50

Solve the system.

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Write the system of equations to solve this problem.

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6

• x + y = 4
  x - y = 6

• 4x + 6y = 13
  3x + 7y = 13.5

• 4x - 6y = 13
  3x - 7y = 13.5

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

• Sugar Cookies $5 
  Oatmeal Cookies $3

• Sugar Cookies $4
  Oatmeal Cookies $8

• Sugar Cookies $2
  Oatmeal Cookies $6

• Sugar Cookies $3
  Oatmeal Cookies $6

Solve the system of equations: 

• ( -2, 3, -3)

• None of these

• ( -2, -3, 3)

• ( -3, 3, -2)

Solve the system of equations: 

• ( -1, 6, 1)

• ( 1, 6, -1)

• None of these

• ( -6, -1, 1)