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Word Problem for Solving system of linear equations

Authored by Benjamin Duong

Mathematics

9th - 12th Grade

CCSS covered

Used 4+ times

Word Problem for Solving system of linear equations
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10 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.HSA.CED.A.3

2.

MULTIPLE CHOICE QUESTION

15 mins • 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

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? 

10c + 5d = 14.25
5c + 10d = 16.50
10c + 5d = 16.50
5c + 10d = 14.25
c + d = 10
5c + 10d = 16.50
c + d = 5
5c + 10d = 16.50

Tags

CCSS.8.EE.C.8C

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

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

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The equations of two lines are 6x + y = 26 and y = 2x + 10. If the solution is (2, y), what is the value of y? 

14
4
6
2

Tags

CCSS.8.EE.C.7

CCSS.8.EE.C.8

CCSS.8.SP.A.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

(0, 3)

(3, 0)

(0, -3)

(-3, 3)

(-3, 0)

Tags

CCSS.8.EE.C.8B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of equations?

(0, 2)

(2, 0)

(2, -2)

(-2, -2)

(-2, 2)

Tags

CCSS.8.EE.C.8B

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