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Systems of Equations Word Problems

Authored by Mrs. Burnett

Mathematics

8th Grade

CCSS covered

Used 11+ times

Systems of Equations Word Problems
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20 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 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.8.EE.C.8C

2.

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? 

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

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? 

d + n = 6.60
.10d + .05n = 80
d + n = 80
d + n = 6.60
d + n = 80
.10d + .05n = 6.60
d + n = 80
.05d + .10n = 6.60

Tags

CCSS.8.EE.C.8C

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables? 

t: # of tacos
m: # of glasses of milk
t: Cost of each taco
m: Cost of each glass of milk
t: total cost
m: # of food items
t: Cost of each glass of milk
m: Cost of each taco

Tags

CCSS.8.EE.C.8C

5.

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?

$5
$10
$15
$20

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  
Solve:
x + y = 55
x - y = 3

(26, 23)
(26, 29)
(29, 26)
(29, 32)

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE CHOICE QUESTION

15 mins • 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. Solve the system:
x + y = 21
6x + 4y = 104

(10, 11)
(12, 9)
(11, 10)
(9, 12)

Tags

CCSS.8.EE.C.8C

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