Systems of Equations Word Problems Set Up

Quiz
•
Mathematics
•
8th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 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.
x + y = 33
y = 2x - 3
x + y = 33
x = 2y - 3
x + y = 33
x = 3 - 2y
x + y = 3
x = 33 - 2y
Tags
CCSS.HSA.CED.A.3
2.
MULTIPLE CHOICE QUESTION
1 min • 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. 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
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?
4x + 7y = 578
x + y = 3365
4x + 7y = 3365
x + y = 578
4y + 7x = 578
x + y = 3365
4y + 7x = 3365
x + y = 578
Tags
CCSS.HSA.CED.A.3
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses? Which equations are set up to solve this word problem if x represents # of horses and y represents # of chickens?
2x + 4y = 28
x+y = 80
4x + 2y = 80
x+y = 28
2x + 4y = 80
x+y = 28
4x + 2y = 28
x+y = 80
Tags
CCSS.8.EE.C.8C
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there? Which set of equations is correctly set up to solve this word problem if x represents # of pigs and y represents # of ducks?
x+y=10
4x+2y=36
x+y=36
4x+2y=10
x+y=10
2x+4y=36
x+y=36
2x+4y=10
Tags
CCSS.8.EE.C.8C
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
There are 20 animals in the barn. Some are geese and some are buffalo. There are 64 legs in all. How many of each animal are there? Which set of equations is correctly set up to solve this word problem if x represents # of geese and y represents # of buffalo?
x+y=64
4x+2y=20
x+y=20
4x+2y=64
x+y=64
2x+4y=20
x+y=20
2x+4y=64
Tags
CCSS.8.EE.C.8C
7.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Tags
CCSS.8.EE.C.8C
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