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Solve Equations with Variables on Both Sides
Presentation
•
Mathematics
•
7th - 8th Grade
•
Medium
+1
Standards-aligned
Cheryl Nichols
Used 569+ times
FREE Resource
7 Slides • 7 Questions
1
Solve Equations
with Variables
on Both Sides

2
When you see an equation with variables on both sides you should:
Move all the terms with variables to one side of the equation by making the term zero on one side.
Remember that terms with variables can become zero the same way constants become zero: by adding the opposite or using the inverse operation.
The equation stays balanced when you do the same thing to both sides.
3
It looks like this:
2y + 27 = 5y
−2y −2y
________________________________
27 = 3y
Now we have a one-step equation.
4
It could look like this:
9k + 6 = 8k + 13
____________________________
k + 6 = 13
Now we have a two-step equation.
5
Multiple Choice
Let's try it! Choose the correct first step for this equation.
Subtract 2x from both sides.
Subtract 7x from both sides.
Sutbract 20 from 2x.
6
Is this what you said?
7x = 2x − 20
−2x −2x
___________________________
5x = −20
7
Multiple Choice
Using the work we just did, find the solution for
x = 4
x = -4
x = 15
x = -25
8
Multiple Choice
Try another one. Choose a correct first step for this equation.
Subtract 5n from both sides.
Add 14 to 3n
Subtract 6 from 5n
9
Is this what you thought?
14 + 3n = 5n − 6
−5n −5n
_____________________________
14 − 2n = −6
10
Here's another option:
14 + 3n = 5n − 6
−3n −3n
________________________________
14 = 2n − 6
We can move all the variable terms to either side of the equation.
11
Multiple Choice
Using the math we just saw, solve this equation.
n = 10
n = -10
n = -18
n = -22
12
Multiple Choice
Let's practice some more. What is the solution to this equation?
3 = g
g = 12
9 = g
g = 16
13
Multiple Choice
Try one more:
x = 4
x = −4
x = 41
x = −41
14
Open Ended
On a scale of 1 - 5, with 5 meaning that you understand completely, how do you feel about solving equations with variables on both sides after this lesson? Explain your rating.
Solve Equations
with Variables
on Both Sides

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