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WorksheetsSubstitution Method Assignment # 1
Total questions: 15
Worksheet time: 3hrs 11mins
Name
Class
Date
1.
y = -6
-3x - 6y = 24
-3x - 6y = 24
a)
(6, 6)
b)
(6, -6)
c)
(4, -6)
d)
(-6, 4)
2.
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)
3.
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)
4.
Solve:
x = -3y - 17
2x + 3y = -7
x = -3y - 17
2x + 3y = -7
a)
(1, -20)
b)
(3, 0)
c)
(-5, -2)
d)
(10 , -9)
5.
solve by substitution: y=3x+14
y=-4x
y=-4x
a)
y=3
b)
y=1
c)
y= - 2
d)
y=4
6.
Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10
-4x + 4y = 8
y = -2x - 10
a)
(-4, -2)
b)
(12, -34)
c)
(4, -18)
d)
(-2, -6)
7.
Solve:
y = 7x + 7
2y + 2x = -18
a)
(5, 0)
b)
(9, 18)
c)
(-2, -7)
d)
(1, 16)
8.
x = y - 2
4x + y = 2
4x + y = 2
a)
(2,0)
b)
(0,2)
c)
(0, -2)
d)
(-2,0)
9.
Which equation is correctly using substitution for the system shown?
y = x + 6
y = -2x − 3
a)
x + 6 = -2x − 3
b)
y = x + 6 − 2x − 3
10.
Determine if the system has one solution, infinitely many solutions, or no solution.
a)
One Solution
b)
Infinitely Many Solutions
c)
No Solution
11.
Solve using Substitution
a)
(3,8)
b)
(8,3)
c)
(0,2)
d)
(2,0)
12.
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)
13.
Which method would be best (quickest) for solving the system below:
3x - 4y = -2
y = 2x + 1
3x - 4y = -2
y = 2x + 1
a)
Substitution
b)
Elimination
c)
Graphing
d)
None
14.
Solve
x = y + 11
2x + y = 19
a)
(10,-1)
b)
(-1,10)
c)
(3,-4)
d)
(6,7)
15.
Determine if the system has one solution, infinitely many solutions, or no solution.
a)
One Solution
b)
Infinitely Many Solutions
c)
No Solution
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