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WorksheetsSolve by Substitution Systems
Total questions: 20
Worksheet time: 1hrs 12mins
Name
Class
Date
1.
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
2.
What is the solution to the system of equations?
y = 3x - 8
y = 4 - x
y = 3x - 8
y = 4 - x
a)
(3,1)
b)
(1,3)
c)
(-3,1)
d)
(3,-1)
3.
y = -6
-3x - 6y = 24
-3x - 6y = 24
a)
(6, 6)
b)
(6, -6)
c)
(4, -6)
d)
(-6, 4)
4.
Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16
y = -4x + 5
y = 3x - 16
a)
(-3, -25)
b)
(3,-7)
c)
(11, 17)
d)
(21, 47)
5.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
6.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
7.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
8.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
9.
solve by substitution: y=3x+14
y=-4x
y=-4x
a)
y=3
b)
y=1
c)
y= - 2
d)
y=4
10.
Solve for x and y using any method we've learned!
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
11.
Solve using Substitution
a)
(3,8)
b)
(8,3)
c)
(0,2)
d)
(2,0)
12.
What is the solution to the system?
a)
(6, 8)
b)
(8, 6)
c)
(-6, 8)
d)
No solution
13.
Solve the system by substitution.
-5x - 4y = -9
y = 6
-5x - 4y = -9
y = 6
a)
(3, 6)
b)
(6, -3)
c)
(-3, 6)
d)
(6.8, 3)
14.
Use the substitution method to find a solution for these two systems.
y=-3x-7
y= x+9
y=-3x-7
y= x+9
a)
(-5,4)
b)
(4,13)
c)
(5,-4)
d)
(-4, 5)
15.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
perpendicular lines
d)
intersecting lines
16.
Solve the system:
x + y = 19
y = 3x - 1
x + y = 19
y = 3x - 1
a)
(14, 5)
b)
(11, 8)
c)
(5, 14)
d)
(8, 11)
17.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution
d)
(6, -2)
18.
Solve the following system of equation:
y=2x+18 and y=4x+6
a)
(12,42)
b)
(6,12)
c)
(6,30)
d)
(4,22)
19.
Solve the following system of equations:
y=5x-10 and y=3x-20
a)
(-5,-25)
b)
(-5,-5)
c)
(5,15)
d)
(-5,25)
20.
Solve the following system of equations:
y=4x+12 and y=x-15
a)
(9,48)
b)
(-9,-24)
c)
(-9,-6)
d)
(9,-6)
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