Systems word problems

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.
Solve: x= horses y= chickens

• (8, 7)
• (7,8)
• (23,-8)
• (7, 22)

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.  
Solve: x= apples, y= bananas

• (1.75, 1)
• (1.5, 1.17)
• (-10.7, 9.3)
• (1, 1.5)

Tags

CCSS.8.EE.C.8C

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2. Solve:

• (-6, -4)
• (6, -16)
• (-14, -4)
• (-4, -6)

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.  How long does it take her to do a haircut?

• 45 minutes
• 90 minutes
  2x + 4y = 315
• 60 minutes
  3x + 4y = 450
• 30 minutes

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

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

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

John and Vicki are training for a 5km race.  John has already run 20 kilometers and plans to run 10 kilometers each day.  Vicki has already run 30 kilometers but plans to run only 5 kilometers per day. The graph below displays each of their training schedules. Which system of equations could be used to determine by which day both John and Vicki will have run the same amount in their training schedule?

• John: y = 20x + 10    Vicki: y = 30x + 5
• John: y = 10x + 20    Vicki: y = 30x + 5
• John: y = -10x + 20  Vicki: y = 5x + 30
• John: y = 10x + 20  Vicki: y = 5x + 30

Tags

CCSS.8.EE.C.8C