
System of equation word problems
Authored by Maria Smith
Mathematics
9th Grade
CCSS covered
Used 3+ times

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10 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
y = 4x
y = x + 4
y = 4x
y = x + 4
Tags
CCSS.8.EE.C.8C
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?
.10d + .05n = 80
d + n = 6.60
.10d + .05n = 6.60
.05d + .10n = 6.60
Tags
CCSS.HSA.CED.A.3
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?
5c + 10d = 16.50
5c + 10d = 14.25
5c + 10d = 16.50
5c + 10d = 16.50
Tags
CCSS.8.EE.C.8C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?
$1.00 per taco, $2.00 per burrito
$2.50 per taco, $1.25 per burrito
$1.33 per taco, $1.66 per burrito
$1.25 per taco, $2.50 per burrito
Tags
CCSS.8.EE.C.8C
5.
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
Tags
CCSS.HSA.CED.A.3
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?
Tags
CCSS.8.EE.C.8C
7.
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
Tags
CCSS.HSA.CED.A.3
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