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Solve Equations with Variables on Both Sides of Equation
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Easy
+2
Standards-aligned
Aloma Ukaegbu
Used 4+ times
FREE Resource
5 Slides • 13 Questions
1
Drag and Drop
2
Solve Equations with Variables on Both Sides of the Equation
I can justify the steps taken to solve algebraic equations.
3
5x + 2 = 2x + 14
There are variable terms on both sides of the equation.
To solve, you must decide which variable term to add or subtract to get the variable term on one side only.
4
Drag and Drop
5
There are two variable terms.
Also positive.
On the right of the equation.
2x
Positive.
On the left of the equation.
5x
6
7
Drag and Drop
8
Multiple Choice
What equation results from subtracting 5x from both sides of the equation?
5x + 2 = 2x + 14
2 = 7x + 14
2 = - 3x + 14
2 = -7x + 14
2 = 2x + 9x
9
5x + 2 = 2x + 14
-5x = -5x
2 = -3x + 14
Subtract 5x from both sides.
10
Fill in the Blanks
11
Multiple Choice
What if you chose to subtract 2x on both sides instead?
What would be the resulting equation?
5x + 2 = 2x + 14
-3x + 2 = 14
5x + 1x = 14
7x + 2 = 14
3x + 2 = 14
12
Multiple Choice
Finish solving the equation: 3x + 2 = 14
x = 4
x = 16/3
x = 14/5
x = 36
13
Open Ended
5x + 2 = 2x + 14
If you subtract 5x on both sides first, the resulting equation is 2 = -3x + 14
If you subtract 2x on both sides first, the resulting equation is 3x + 2 = 14
Which first step do you prefer and why?
14
Multiple Choice
What is the solution of 9 + 2k = -3 - 4k?
k = 5
k = 2
k = -2
k = -1
15
Open Ended
In words, explain what steps you would take to solve: 2a + 3 = (1/2)(6 + 4a).
16
Reorder
To solve: 3a + 1 = -3.6(a - 1)
Reorder the following
Distribute -3.6 inside the quantity.
Add 3.6a to both sides.
Subtract 1 from both sides.
Divide by 6.6 on both sides.
a = ?
17
Math Response
Solve: 3a + 1 = -3.6(a - 1)
18
Math Response
Solve: 8a - 4 = -8a + 5a - 15
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DRAG AND DROP
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