Writing Systems of Equations

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

Tags

CCSS.8.EE.C.8C

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740
• S + A = 530
  4S + 3A = 1740
• S + A = 1740
  3S + 4A = 530
• S + A = 1740
  4S + 3A = 530

Tags

CCSS.HSA.CED.A.3

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

• 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

Tags

CCSS.HSA.CED.A.3

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

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

• 3H + 2D = 315

  2H + 4D = 450

• 3H + 2D = 450

  2H + 4D = 315

• 2H + 4D = 315

  3H + 2D = 450

• 3H + 2D = 315

  2H + 2D = 135

Tags

CCSS.8.EE.C.8C

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?

• 1.5N+0.5S=78.5

  N+S=87

• 1.5N+0.5S=78.5

  1.5N+0.5S=87

• N+S=78.5

  1.5N+0.5S=87

• N+S=78.5

  N+S=87

Tags

CCSS.HSA.CED.A.3

There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174
  4d + 2c = 50
• d + c = 50
  4d + 2c = 174
• d + c = 50
  2d + 4c = 174
• d + c = 174
  2d + 4c = 50

Tags

CCSS.8.EE.C.8C

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child ticket

• 3S+C=38

  3S+2C=52

• 3S+C=52

  3S+2C=38

• 3C+S=38

  3C+2S=52

• 3C+S=52

  3C+2S=38

Tags

CCSS.HSA.CED.A.3

Yolanda scored 3 times as many goals as Xander. Xander scored 4 fewer goals than Yolanda. Let x represent the number of goals that Xander scored, and let y represent the number of goals that Yolanda scored.

•  $y=3x\ \ \ and\ \ \ \ \ x=y-4$  

•  $x=3y\ \ \ and\ \ \ \ \ y=x-4$  

•  $y=3x\ \ \ \ and\ \ \ \ x=4-y$  

•  $y=3+x\ \ \ and\ \ \ \ x=y-4$  

Tags

CCSS.HSA.CED.A.3

The total number of cats and dogs at the shelter is 125. There are 5 more cats than dogs. Let x represent the number of cats, and let y represent the number of dogs.

• $x+y=125\ \ and\ \ \ \ y=5+x$

• $xy=125\ \ \ and\ \ \ \ y=5+x$

• $x+y=125\ \ and\ \ \ \ \ x=5+y$

• $x+y=125\ \ and\ \ \ \ x=5y$

Tags

CCSS.HSA.CED.A.3