System Word Problems Linear

System Word Problems Linear

9th - 12th Grade

20 Qs

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System Word Problems Linear

System Word Problems Linear

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
8.EE.C.8B, 8.EE.C.8C, 8.EE.C.8A

+1

Standards-aligned

Created by

Barbara White

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20 questions

Show all answers

1.

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?

x + y = 15
4x + 2y = 44
4x + 2y = 15
x + y = 44
x = 2y + 44
4x = y + 15
2x - 4y = 44
x - y = 15

Tags

CCSS.8.EE.C.8C

2.

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?

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

3.

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

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam 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

5.

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

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

Van 43
Bus 14
Van 11
Bus 21
Van 14
Bus 43
Van 17
Bus 45

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

Adult $13
Child $5
Adult $10
Child $6
Adult $8
Child $16
Adult $12
Child $13

Tags

CCSS.8.EE.C.8C

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