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Worksheetssolving system
Total questions: 26
Worksheet time: 2hrs 36mins
Name
Class
Date
1.
Solve this system of equations.
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
2.
Solve the system by substitution.
5x + 4y= −14
y = −7x − 15
5x + 4y= −14
y = −7x − 15
a)
(-2, -1)
b)
(1, -2)
c)
(-2, 1)
d)
(-1, -2)
3.
x + 2y = 2
x = -4y + 2
x = -4y + 2
a)
(-3, 0)
b)
(0, 2)
c)
(-3, -2)
d)
(2, 0)
4.
How many solutions?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
5.
Solve the system by elimination:
x+y=6
6x−y=1
a)
(3, 3)
b)
(1, 5)
c)
(1, 3)
d)
(7, -1)
6.
Solve the system by elimination:
2x+8y=−24
−2x−3y=14
a)
(-4, -2)
b)
(2, 5)
c)
(10, 2)
d)
(-8, -1)
7.
A system of two parallel lines will have how many solutions?
a)
One Solution
b)
Two Solutions
c)
No Solution
d)
Infinite Solutions
8.
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
9.
Will the solution (-3, -7) make the following system of equations a true statement?
y = 4x + 5
y = x – 4
y = 4x + 5
y = x – 4
a)
YES
b)
NO
10.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
11.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
12.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
13.
Parallel Lines never intersect because...
a)
they have the same slopes.
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts.
14.
When you graph the exact same equation twice,
a)
you will have no solution.
b)
you will have one solution.
c)
you will have infinite solutions.
d)
you will graph a giraffe.
15.
a)
No Solution
b)
(2, 2)
c)
(-1, 2)
d)
(-1, -2)
16.
How many solutions does this system of equations have?
a)
One
b)
None
c)
Infinite
17.
How many solutions does this systems of equations have?
a)
One
b)
None
c)
Infinite
18.
How many solutions does this systems of equations have?
a)
One
b)
None
c)
Infinite
19.
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)
20.
Solve by elimination:
4x+4y=4
3x+4y=10
4x+4y=4
3x+4y=10
a)
(7,-6)
b)
(-6,7)
c)
(6,7)
d)
(7,6)
21.
Solve by elimination:
3x+7y=23
-3x-7y=-17
a)
No solution
b)
(0, 3)
c)
(-3,3)
d)
(3,3)
22.
Solve by elimination
4x-6y= -6
-2x-12y= -12
a)
(0,1)
b)
(1,0)
c)
(1,1)
d)
(0, 2)
23.
Solve by elimination
2x+9y= -7
6x-3y= 9
2x+9y= -7
6x-3y= 9
a)
(-1, -1)
b)
(2,-1)
c)
(1,1)
d)
(1,-1)
24.
Solve the system by multiplication.
2x + 10y = -20
-x + 4y = 28
2x + 10y = -20
-x + 4y = 28
a)
(-20,2)
b)
(1,4)
c)
(2,-20)
d)
(-2,2)
25.
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)
26.
Solve by elimination:
7x+y=-9
-3x-y=5
7x+y=-9
-3x-y=5
a)
No solution
b)
(1,8)
c)
(-2,-3)
d)
(-1,-2)
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