Non-linear equations (multi-variable)

Shakira is making flower arrangements with dahlias (d) and tulips (t). The cost of each dahlia is $0.75 and the cost of each tulip is $0.50. The arrangement has a total of 24 flowers and the flower cost was $30.00. Which system of equations matches the situation?

• d + t = 24

  .75d + .5t = 30

• d + t = 30

  .75d + .5t = 24

• d + t = 24

  .5d + .75t = 30

• d + t = 24

  5d + 75t = 30

Trevor and Kylie are selling fruit for a school fundraiser. Customers can buy small boxes of oranges (x) and large boxes of oranges (y). Kylie sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220.

Mathematical Equivalence

ON

A set of two or more equations with the same variables.

• system of equations

• system of inequalities

• elimination

• variables

At a mall, the cost of 2 shirts, 4 shorts, and 5 pairs of shoes is $237. The cost for 3 shirts and 7 shorts is $145. The cost for 6 shirts and 1 pair of shoes is $100. If x represents shirts, y represents shorts, and z represents shoes, which systems of equations can be used to determine the sale price of the shirts, the shorts, and the shoes? 

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

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation? *

• 1.5x + 0.5y = 78.5
  x + y = 87
• 1.5x + 0.5y = 78.5
  1.5x + 0.5y = 87
• x + y = 78.5
  1.5x + 0.5y = 87
• x + y = 78.5
  x + y = 87

Tay has M boxes that weigh 8 pounds each and B boxes that weigh 4 pounds each.The total weight of his boxes is 20 pounds

• 8+4y=-20

• -8x+-4y=20

• 8x+4y=20

• -8x+4y=20

A company is going to lease office space in two different buildings. The annual cost is $21.75 per square foot in the first building and $17 per square foot in the second. The company has $86,000 budgeted for rent. Write an equation that models the possible amount space they can rent in each building.

• $38.75x=86,000$

• $21.75x-17y=86,000$

• $4.75x=86,000$

• $21.75x+17y=86,000$

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations to represent the situation.

• 5q + 2z = 1.32

  1z = 0.75

• 5q + 2z = 1.32

  3q + 1z = 0.75

• q + z = 1.32

  q + z = 0.75

• 5q + 2z = 0.75

  3q + 1z = 1.32

Westlake Catalog sells mavericks jerseys for $39 and Rangers hats for $18. Megan orders "j" jerseys and "h" hats. The total numbers of items ordered is 25, and the total cost is $702. Which system of equations represent this situation?

• j = 39

  
  

  h = 18

• j + h = 25

  
  

  j + h = 702

• j + h = 25

  
  

  39j + 18h = 702

• j + h = 702

  
  

  39j + 18h = 25