Interpret Systems Word Problems Using a Graph

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. To solve, I graphed: x + y = 21 6x + 4y = 104 I got an intersection point at (10,11). What does that mean in context of the problem?

• There are 10 adults and 11 children.

• There are 11 adults and 10 children.

• The adults are $10 and the children are $11.

• There are 104 adults and 21 children.

Tags

CCSS.8.EE.C.8C

At a local concert hall, the owner charges $7 per ticket. The owner must pay his band $1200. Every customer receives a brochure that costs the owner $2 for each person.

What system would determine when he breaks even?

• y = 7x

  y = 2x + 1200

• y = 2x

  y = 7x + 1200

• y = 9x + 1200

• y = -2x - 1200

  y = 7x

Tags

CCSS.8.EE.C.8C

John was 20 feet away and was running 5 feet per minute. Alex was 50 feet away and was 3 feet per minute. Write a system of two equations for this situation?

• y = 5x + 20

  y = 3x + 50

• y = 20x + 5

  y = 50x + 3

• y = 5x + 50

  y = 2x + 20

• y = 50x + 5

  y = 20x + 3

Tags

CCSS.8.EE.C.8C

The Really Awesome Skating Rink was $5 to get in and $3 per hour. The Not As Awesome Skating Rink was $10 at the door and was $6 per hour. Write an equation for this situation.

• y = 3x + 5

  y = 6x + 10

• y = 5x + 3

  y = 10x + 6

• y = 3x + 10

  y = 6x + 5

• y = 5x + 6

  y = 10x + 3

Tags

CCSS.8.EE.C.8C

Which statement describes Kayla's solutions?

• Her solutions are correct.

• She marked the y-intercepts instead of the x-intercepts.

• She marked the y-intercepts instead of the intersection point of the two lines.

• She marked only the y-intercepts instead of the x- and y-intercepts.

Tags

CCSS.8.EE.C.8B

Decide if the following statements are true or false about the graph.

Groups:

(a) True

,

(b) False

• The line are parallel, so the system has no solution

• The slopes are equal, so the system has infinitely many solutions

• The lines will not intersect, so the system has no solution

• The lines will eventually touch, so the system has one solution

• The lines are perpendicular which means they will not ever cross.

• The slope(m) of the lines are equal

Tags

CCSS.8.EE.C.8B

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution

• No solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

What does the point (8, 4) represent?

• 8 hours of charge will give you 4 hours of flight time

• 4 hours of charge will give you 8 hours of flight time

Tags

CCSS.8.EE.B.5

What does the point (6, 50) represent?

• $50 for 6 suits

• $6 for 50 suits

Tags

CCSS.HSF.LE.B.5

What does the point (3, 12) represent?

• 12 boxes in 3 minutes

• 3 boxes in 12 minutes

Tags

CCSS.8.EE.B.5