Systems of Equations Word Problems Graphing

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8A

These two lines intersect at _____

• (4, -2)

• (4, 2)

• (-2, 4) 

• No solution

Tags

CCSS.8.EE.C.8B

CPA 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 tickets. Which equations represents the system that could be used?

• 1s + 3c = 38 2s + 3c = 52

• 3s + 1c = 38 3s + 2c = 52

• s + c = 38 s + c = 52

• 3s + 3c = 38 1s + 2c = 52

Tags

CCSS.HSA.CED.A.3

On Monday Mr. MacLellan bought 10 cups of coffee and 5 doughnuts for the Math department at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Which equations could be used to determine the cost of the coffee? 

• 10c + 5d = 14.25 5c + 10d = 16.50

• 10c + 5d = 16.50 5c + 10d = 14.25

• c + d = 10 5c + 10d = 16.50

• c + d = 5 5c + 10d = 16.50

Tags

CCSS.8.EE.C.8C

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

Groups:

(a) True

,

(b) False

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

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

• 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 slope(m) of the lines are equal

Tags

CCSS.8.EE.C.8B

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

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

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

Solve the system of equations by graphing.

• (4, 7)

• (3, 5)

• (6, 7)

• (5, 3)

Tags

CCSS.8.EE.C.8B

What system of equations does this graph represent?

• A

• B

• C

• D

Tags

CCSS.HSA.REI.C.7