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Solving Real World Systems of Equations

Authored by Joia Colbert

Mathematics

9th Grade

Solving Real World Systems of Equations
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5 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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.

x + y = 21
6x + 4y = 104
x + y = 104
6x + 4y = 21
x + y = 21
6y + 4x = 104
x + y = 104
6x + 4y = 21

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the value of y in the solution to this system of linear equations?      
Use elimination.

x + 3y = 18  
- x – 4y = - 25

-7
2
6
7

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the solution to this system of linear equations?

       3x + y = -14
-2x - y = 9

(-5, 1)
(-1, -11)
(5, -29)
(13, 55)

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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? *

1.5x + 0.5y = 78.5
x + y = 87
1.5x + 0.5y = 78.5
1.5x + 0.5y = 87
x + y = 78.5
1.5x + 0.5y = 87
x + y = 78.5
x + y = 87

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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)

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