Solving Systems and Applications

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?

• (35, 52)

• (18, 69)

• ( 52, 35) 

• (61, 26)

Tags

CCSS.8.EE.C.8C

A local fish market is selling fish and lobsters by the pound. The fish costs $5.25 a pound, while the lobster costs $10.50 a pound. The fish market sells 28.5 pounds and makes $215.25?

• The market sold 16 pounds of fish and 12.5 pounds of lobster.

• The market sold 18 pounds of fish and 10.5 pounds of lobster.

• The market sold 12.5 pounds of fish and 16 pounds of lobster.

• The market sold 10.5 pounds of fish and 18 pounds of lobster.

Tags

CCSS.8.EE.C.8C

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

• Van 43
  Bus 14

• Van 11
  Bus 21

• Van 14
  Bus 43

• Van 17
  Bus 45

Tags

CCSS.8.EE.C.8C

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

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. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

• a + c = 21
  6a + 4c = 104

• a + c = 104
  6a + 4c = 21

• a + c = 21
  6c + 4a = 104

• a + c = 104
  6c + 4a = 21

Tags

CCSS.HSA.CED.A.3

What is the solution to this system of equations?

• (1,4)

• (4,1)

• (3,5)

• (-1, 4)

Tags

CCSS.8.EE.C.8B

what can you say about these lines

• They intersect an infinite amount of times

• They don't intersect

• They intersect at one point

• They intersect at 3 points

Tags

CCSS.8.EE.C.8B

How may solutions does this graph have?

• None

• 1

• 3

• Infinitely many

Tags

CCSS.8.EE.C.8B

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Tags

CCSS.8.EE.C.8A