WorksheetsSolving Systems of Equations
Total questions: 17
Worksheet time: 1hrs 16mins
Name
Class
Date
1.
There are 50 donkeys and chickens on a far. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?
a)
d + c = 174
4d + 2c = 50
4d + 2c = 50
b)
d + c = 50
4d + 2c = 174
4d + 2c = 174
c)
d + c = 50
2d + 4c = 174
2d + 4c = 174
d)
d + c = 174
2d + 4c = 50
2d + 4c = 50
2.
Solve the system of equations by graphing.
y = -4x + 5
y = 3x - 16
y = -4x + 5
y = 3x - 16
a)
(-3, -25)
b)
(3,-7)
c)
(11, 17)
d)
(21, 47)
3.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
4.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
3x + 4y = 450
5.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
6.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
7.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
8.
What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7
x-2y=1
x+4y=7
a)
1
b)
-1
c)
3
d)
4
9.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
10.
What is the slope of the linear equation:
y = -5x + 6?
y = -5x + 6?
a)
1/5
b)
6
c)
-5x
d)
-5
11.
Solve the system given:
3x - y = 7
2x + y = 3
3x - y = 7
2x + y = 3
a)
(-1,2)
b)
(5,4)
c)
(4,5)
d)
(2,-1)
12.
solve by substitution: y=3x+14
y=-4x
y=-4x
a)
y=3
b)
y=1
c)
y=2
d)
y=4
13.
Given the equation y = 7x + 11, write another equation that will result in “No Solution” when both equations are graphed.
a)
y = -7x
b)
y = 7
c)
y = 7x + 2
14.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
15.
The number that is multiplied by the variable
a)
Idependent
b)
Dependent
c)
Coefficient
d)
Parallel
16.
Solve the system given:
3x - y = 7
2x + y = 3
3x - y = 7
2x + y = 3
a)
(-1,2)
b)
(5,4)
c)
(4,5)
d)
(2,-1)
17.
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?
a)
(1, 12)
b)
(3, 19)
c)
(5, 25)
d)
(0, 10)
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