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WorksheetsSystem of Equations Word Problems
Total questions: 20
Worksheet time: 3hrs 47mins
Name
Class
Date
1.
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?
a)
x + y = 15
4x + 2y = 44
4x + 2y = 44
b)
4x + 2y = 15
x + y = 44
x + y = 44
c)
x = 2y + 44
4x = y + 15
4x = y + 15
d)
2x - 4y = 44
x - y = 15
x - y = 15
2.
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?
a)
4x + 6y = 3
13.5x - 13y = 6
13.5x - 13y = 6
b)
x + y = 4
x - y = 6
x - y = 6
c)
4x + 6y = 13
3x + 7y = 13.5
3x + 7y = 13.5
d)
4x - 6y = 13
3x - 7y = 13.5
3x - 7y = 13.5
3.
The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve:
x + y = 55
x - y = 3
Solve:
x + y = 55
x - y = 3
a)
(26, 23)
b)
(26, 29)
c)
(29, 26)
d)
(29, 32)
4.
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?
a)
Sugar Cookies $5
Oatmeal Cookies $3
Oatmeal Cookies $3
b)
Sugar Cookies $4
Oatmeal Cookies $8
Oatmeal Cookies $8
c)
Sugar Cookies $2
Oatmeal Cookies $6
Oatmeal Cookies $6
d)
Sugar Cookies $3
Oatmeal Cookies $6
Oatmeal Cookies $6
5.
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?
a)
(35, 52)
b)
(18, 69)
c)
( 52, 35)
d)
(61, 26)
6.
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?
a)
Van 43
Bus 14
Bus 14
b)
Van 11
Bus 21
Bus 21
c)
Van 14
Bus 43
Bus 43
d)
Van 17
Bus 45
Bus 45
7.
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.
a)
Adult $13
Child $5
Child $5
b)
Adult $10
Child $6
Child $6
c)
Adult $8
Child $16
Child $16
d)
Adult $12
Child $13
Child $13
8.
A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?
a)
20 Multiple Choice
b)
10 Multiple CHoice
c)
15 Multiple Choice
d)
5 multiple choice
9.
How many solutions will this system have?
a)
No Solution
b)
Infinitely Many Solutions
c)
No Clue
d)
One solution
10.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
11.
How many solutions will this system have?
a)
One
b)
Two
c)
No Solution
d)
Infinitely Many Solutions
12.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
13.
The solution (x, y) to a system of equations is the point where they...?
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
14.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
15.
If a system of linear equations has infinitely many solutions, what does this mean about the two lines?
a)
Intersecting lines
b)
Same line
c)
Parallel lines
16.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
17.
Solve the following system by graphing. What is the solution?
a)
Infinite number of solutions
b)
(3, 3)
c)
(3, -3)
d)
(-3, 3)
18.
Solve by graphing.
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
19.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
20.
Solve:
y = -1x - 5
4x - 8y = 4
y = -1x - 5
4x - 8y = 4
a)
(-3, -2)
b)
(5, -7)
c)
(3, 9)
d)
(-5, 4)
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