Plug Into Equations
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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19 questions
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1.
REORDER QUESTION
1 min • 5 pts
Put the steps for solving by SUBSTITUTION in order:
Plug that number into the other equation
Plug the resulting expression into the other equation
Solve one equation for x or y
Solve for the second variable
Solve for the first variable
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
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
3.
DRAG AND DROP QUESTION
1 min • 2 pts
In this system x+3y=9 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
4.
DRAG AND DROP QUESTION
1 min • 5 pts
In this system x+3y=9 4x-2y=-6 we have figured out that x=9-3y, and y=3. Complete the steps to solve for x: x=9-3( (a) ) x=9- (b) x= (c) The solution to the system is ( (d) , (e) ).
3
9
0
y
x
y=3
3y
-9
18
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
DRAG AND DROP QUESTION
1 min • 5 pts
Consider the system:
4x+3y=-1
5x+4y=1
Since we now know that x=-7, solve for y:
4( (a) )+3y=-1
(b) +3y=-1
(c) = (d)
y= (e)
-7
-28
3y
27
9
5
7
-12
3
y
Tags
CCSS.HSA.REI.C.9
6.
DRAG AND DROP QUESTION
1 min • 2 pts
What is the solution to the system of equations?
4x-y=3
3x+y=4
( (a) , (b) )
1
2
3
4
5
6
7
8
9
0
Tags
CCSS.HSA.REI.C.9
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which ordered pair is the solution to this system?
HINT: plug the x number into the x in each equation and plug the y number into the y in each equation and solve to see which one works for BOTH!)
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
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