Systems Applications

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures.
Which system represents this situation?

• x+y=134
  x+y=120
• 3x+3y=134
  4x+3y=120
• 4x+3y=134
  3x+3y=120
• 7xy=134
  6xy=120

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.3

Chase wants to divide $400 between Dylan and Josh.  He wants to give Josh 25 more dollars than Dylan how much should each person get?

• Dylan $200
  Josh $200
• Dylan $190
  Josh $210
• Dylan $195
  Josh $205
• Dylan $187.50
  Josh $212.50

Tags

CCSS.8.EE.C.8C

There are 75 people on a bus. There are 7 more girls than boys. Write and solve a systems of linear equations to determine how many boys and girls are on the bus.

• 68 girls and 7 boys
• 34 girls and 41 boys
• 41 girls and 34 boys
• 41 boys and 48 girls

Tags

CCSS.8.EE.C.8C

At a concessions window, candy bars are sold for $1 each and drinks are sold for $2 each. If 100 items were sold altogether and $132 was earned, which of the systems of linear equations could be used to find how many drinks (x) and candy bars (y) were sold. 

• x+y=132
  2x+y=100
• x+y=100
  2x+y=132
• x+y=100
  x+2y=132
• none listed

Tags

CCSS.HSA.CED.A.3

The school is having a play.  They have sold a total of 1000 tickets.  Student tickets cost $5 and general admission tickets cost $8.  The play made a total of $6461.  How many of each student and general admission tickets were sold?

• (372,628)
• (475,525)
• (513,487)
• (630,370)

Tags

CCSS.8.EE.C.8C

The perimeter of rectangular box is 18 inches and the width is five inches less than the length. If W=width of the box and L=length of the box, which system of equations matches the situation?

• L + W = 18
  W = L - 5
• 2L + 2W = 18
  L = W - 5
• 2L + 2W = 18
  W = L - 5
• 2L + 2W = 18
  W = 5 - L

Tags

CCSS.HSA.CED.A.3

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3
• x + y = 33
  x = 2y - 3
• x + y = 33
  x = 3 - 2y
• x + y = 3
  x = 33 - 2y

Tags

CCSS.HSA.CED.A.3

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 

• x + y = 1550
  y  = 4x
• x + y = 1550
  y = x + 4
• y - x = 1550
  y = 4x
• y = 1550 + x
  y = x + 4

Tags

CCSS.8.EE.C.8C

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables? 

• t: # of tacos
  m: # of glasses of milk
• t: Cost of each taco
  m: Cost of each glass of milk
• t: total cost
  m: # of food items
• t: Cost of each glass of milk
  m: Cost of each taco

Tags

CCSS.8.EE.C.8C