Systems of Equations Set Up Word Problems

Quiz
•
Mathematics
•
8th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
15 questions
Show all answers
1.
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
2.
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.HSA.CED.A.3
3.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Tags
CCSS.8.EE.C.8C
4.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?
4y = 3x + 64
8y = x + 68
4y = 3x + 64
8y = x + 60
3x + 4y = 64
x + 8y = 68
3x + 4y = 64
x + 8y = 60
Tags
CCSS.HSA.CED.A.3
5.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
The school that Stefan goes to 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
6.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?
x + y = 1430
20x + 50y = 49
x + y = 49
10x + 5y = 1430
x + y = 49
20x + 50y = 1430
x + y = 49
x + y = 1430
Tags
CCSS.HSA.CED.A.3
7.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?
x + y = 6
14.80x + 17y = 91
x + y = 91
14.80x + 17y = 6
x + y = 6
14.80y + 17x = 91
x + y = 91
14.80x+ 17y = 6
Tags
CCSS.HSA.CED.A.3
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