
System of Equations Substitution Steps
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered

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20 questions
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1.
REORDER QUESTION
1 min • 5 pts
Put the steps for solving by SUBSTITUTION in order:
Solve one equation for x or y
Solve for the second variable
Plug that number into the other equation
Plug the resulting expression into the other equation
Solve for the first variable
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
DRAG AND DROP QUESTION
1 min • 2 pts
In this system
x+3y=9
4x-2y=-6
it'll be easiest to start by solving the first equation for x.
The result of doing so is x=9-3y.
Fill in the blanks to plug that expression in and solve for y:
4(9-3y)-2y =-6
36-12y-2y=-6
36-14y =-6
-14y= (a)
y= (b)
-42
3
30
-3
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FILL IN THE BLANK QUESTION
1 min • 1 pt
x+3y=9
4x-2y=-6
it'll be easiest to start by solving the first equation for x.
The result of doing so is x=
(a)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
DRAG AND DROP QUESTION
1 min • 5 pts
In this system
x+3y=9
4x-2y=-6
it'll be easiest to start by solving the first equation for x.
The result of doing so is x=9-3y.
Fill in the blanks to plug that expression in and solve for y:
4( (a) )-2 (b) =-6
36- (c) y-2y= (d)
36- (e) =-6
9-3y
y
12
-6
14y
x
10y
x+3y
24y
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21
(3,-9)
(-3,-9)
(-3,9)
(0,1)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use SUBSTITUTION METHOD
y = 2x + 1
y = 4x - 1
(1,3)
(-1,-3)
(-1,3)
(3,1)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
solve by substitution: y=3x+14
y=-4x
y=3
y=1
y= - 2
y=4
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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