
System of Equations Word Problem
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered

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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
John and Vicki are training for a 5km race. John has already run 20 kilometers and plans to run 10 kilometers each day. Vicki has already run 30 kilometers but plans to run only 5 kilometers per day. The graph below displays each of their training schedules. Which system of equations could be used to determine by which day both John and Vicki will have run the same amount in their training schedule?
John: y = 20x + 10 Vicki: y = 30x + 5
John: y = 10x + 20 Vicki: y = 30x + 5
John: y = -10x + 20 Vicki: y = 5x + 30
John: y = 10x + 20 Vicki: y = 5x + 30
Tags
CCSS.8.EE.C.8C
2.
MULTIPLE CHOICE QUESTION
1 min • 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?
x + y = 1550
y = 4x
x + y = 1550
y = x + 4
y - x = 1550
y = 4x
y = 1550 + x
y = x + 4
Tags
CCSS.8.EE.C.8C
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Lisa and Tammy are selling items at the craft show. Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?
(1, 12)
(3, 19)
(5, 25)
(0, 10)
Tags
CCSS.8.EE.C.8B
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
y = 9.65 + x
y = 8.40 + x
y = 9.65x + 43
y = 8.40x + 58
y =9.65x
y = 8.40x
y = 9.65x - 43
y = 8.40x - 58
5.
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
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?
y = 6.80 + .65x
y=7.30+.90x
x + y = 6.80
x + y = 7.30
y = 6.80+.90x
y = 7.30 + .65x
y + .90x = 6.80
y + .65x = 7.30
Tags
CCSS.HSA.CED.A.3
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