WorksheetsSolving System of Equation By Elimination Method
Total questions: 15
Worksheet time: 15mins
Name
Class
Date
1.
4x + 8y = 20
-4x + 2y = -30
Which variable will be eliminated?
-4x + 2y = -30
Which variable will be eliminated?
a)
The x
b)
The y
c)
The z
d)
The unknown
2.
What would be the first step in finding the solution with elimination?
4x + 3y = 1
x - 3y = -11
a)
cross out the 3y and -3y
b)
cross out the 4x and x
c)
change all the signs of the second equation
d)
add 1 and -11
3.
Identify the solution to this system of equations.
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
4.
A system of two parallel lines will have how many solutions?
a)
One Solution
b)
Two Solutions
c)
No Solution
d)
Infinite Solutions
5.
Solve by elimination:
4x+9y=28
-4x-y=-28
4x+9y=28
-4x-y=-28
a)
(-7,0)
b)
(6,0)
c)
(-6,0)
d)
(7,0)
6.
Solve the system by elimination.
−8x − 10y = 20
−8x − 6y = −4
−8x − 10y = 20
−8x − 6y = −4
a)
Infinite number of solutions
b)
(6, 5)
c)
(−6, −5)
d)
(5, −6)
7.
What is the first step in solving this equation?
5x + 7 = 12
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
8.
Solve for variable x in the following equation:
11 = 3x + 8x
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
9.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
10.
Solve by elimination
-6x + 5y = 1
6x + 4y = -10
a)
(-1,7/5)
b)
(0,-1)
c)
(1,1)
d)
(-1,-1)
11.
Solve by elimination:
-9x - 4y = -20
5x + 4y = 4
-9x - 4y = -20
5x + 4y = 4
a)
(-4,4)
b)
(4,4)
c)
(4,-4)
d)
(-4,-4)
12.
Solve by elimination:
7x + y = -9
-3x - y = 5
a)
No solution
b)
(1,8)
c)
(-1,-3)
d)
(-1,-2)
13.
Solve the system of equations.
x + 5y = -27
-2x - 5y = 24
x + 5y = -27
-2x - 5y = 24
a)
(3, 6)
b)
(-3, -6)
c)
(-3, -4)
d)
(3, -6)
14.
Solve using elimination.
7x + 2y = 24
8x + 2y = 30
7x + 2y = 24
8x + 2y = 30
a)
(6,-9)
b)
(-9,6)
c)
No solution
d)
Infinite number of solutions
15.
6x + 7y = -15
6x - 2y = 12
Will you add or subtract to "eliminate" the x variable?
a)
add
b)
subtract
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