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Mathematics

12th Grade

Used 4+ times

System of equations - word problems
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29 questions

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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

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

3.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Select ALL possible equations for the problem:

Matt bought 6 pens and 4 notebooks for $8.

Chance bought 5 pens and 8 notebooks for $9.

6p+4n=8

M=6p+4n

C=5p+8n

5p+8n=9

4.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Select ALL possible equations for the problem:

Tom and Ryan are brothers. The sum of their ages are 49. Tom is 5 years older than Ryan.

T+R=49

T=5+R

T=R-5

R=5+10

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve for y:
2x + 2y = 6

y = - x + 3
y = x + 3
y = 2x +6
y = - 2x + 6

6.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Media Image

How many solutions will this system have? 

No solution
One Solution
I Don't Know
Infinitely Many Solutions

7.

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

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