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System of equations word problems

Authored by Stephanie Ruffner

Mathematics

8th Grade

CCSS covered

Used 2+ times

System of equations word problems
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7 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Nancy went to the grocery story.  On Monday she purchased 4 apples (x) and 6 bananas (y) 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?

4x + 6y = 3
13.5x - 13y = 6
x + y = 4
x - y = 6
4x + 6y = 13
3x + 7y = 13.5
4x - 6y = 13
3x - 7y = 13.5

Tags

CCSS.8.EE.C.8C

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Habiba sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Ruth sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

Sugar Cookies $5 
Oatmeal Cookies $3
Sugar Cookies $4
Oatmeal Cookies $8
Sugar Cookies $2
Oatmeal Cookies $6
Sugar Cookies $3
Oatmeal Cookies $6

Tags

CCSS.8.EE.C.8C

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

(35, 52)
(18, 69)
( 52, 35) 
(61, 26)

Tags

CCSS.8.EE.C.8C

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

S + A = 530
3S + 4A = 1740
S + A = 530
4S + 3A = 1740
S + A = 1740
3S + 4A = 530
S + A = 1740
4S + 3A = 530

Tags

CCSS.HSA.CED.A.3

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Yazzy 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 Yazzy 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

6.

GRAPHING QUESTION

3 mins • 1 pt

y=3x+1

y=-1/2x+4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

GRAPHING QUESTION

3 mins • 1 pt

y=2x-4

y=-2/3x+1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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