
System of equations - word problems
Authored by Julianne Huang
Mathematics
12th Grade
Used 4+ times

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29 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?
4x + 2y = 44
x + y = 44
4x = y + 15
x - y = 15
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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. Which system of equations represents the situation?
13.5x - 13y = 6
x - y = 6
3x + 7y = 13.5
3x - 7y = 13.5
3.
MULTIPLE SELECT QUESTION
15 mins • 1 pt
Select ALL possible equations for the problem:
Matt bought 6 pens and 4 notebooks for $8.
Chance bought 5 pens and 8 notebooks for $9.
6p+4n=8
M=6p+4n
C=5p+8n
5p+8n=9
4.
MULTIPLE SELECT QUESTION
15 mins • 1 pt
Select ALL possible equations for the problem:
Tom and Ryan are brothers. The sum of their ages are 49. Tom is 5 years older than Ryan.
T+R=49
T=5+R
T=R-5
R=5+10
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Solve for y:
2x + 2y = 6
6.
MULTIPLE CHOICE QUESTION
1 min • 12 pts
How many solutions will this system have?
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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.
y = 2x - 3
x = 2y - 3
x = 3 - 2y
x = 33 - 2y
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