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multi-step equations with distributive
Contributed by: Harkenrider
(Original author: Knarr)
This Practice is to see ifyou are ready to workon the PracticeWorksheet for SolvingMulti-Step Equations.
What is the first thing you should do with this
equation?
Distribute the 6 to the m and 2
Add 2 to each side
Subtract 12 from each side
I hope you said DISTRIBUTE!  Which of the 
following is the correct way to distribute the 6?
6m - 2
6m - 12
m - 12
6m - 6
The correct answer is 6m - 12.  Your equation shouldnow look like :


Since this is now a 2-step equation, it should be simple to solve.  What two steps will you take to solveit and in what order? (Look closely at the answers.)
Subtract 12 and then divide by 6
Divide by 6 and then add 12
Add 12 and then divide by 6
Add 6 and then divide by 12
6m - 12 = 12
6m - 12 = 12
The correct answer is:
Add 12 and then divide by 6.
What is the first thing you should do with this
equation?
Subtract x from both sides
Combine the x's to get 2x.
Combine the x's to get 4x.
The correct answer was "Combine the x's to get 4x."
The new equation looks like this:
Subtract 4 and then divide by 4.
Add 12 and then divide by 4.
Divide by 4 and then add 12.
Subtract 12 and then divide by 12.
What are the next two steps?
4x - 12 = 4
The correct answer was "Add 12 and then divide by 4."
4x - 12 = 4
What is the first thing you should do with this
equation?
Combine the x's.
Subtract 2x from each side
Distribute the 5 to the x and -3
Add 3 to both sides
I hope you said DISTRIBUTE!  Which of the following is the correct way to distribute the 5?
5x - 3
5x - 15
x - 15
5x - 8
The correct answer is 5x - 15.  The equation should
now look like this:
5x - 15 + 2x = 41
Add 15 to both sides.
Combine the x's to get 3x.
Subtract 2x from both sides.
Combine the x's to get 7x.
What is  the next step?
The correct answer is to combine the x's to get 7x.
The equation should now look like this:
Add 15 and then divide by 7.
Subtract 41 and then divide by 7.
Divide by 7 and then add 15.
Subtract 15 and then multiply by 7.
7x - 15 = 41
What are the next 2 steps?
The correct answer is 
"Add 15 and then divide by 7."
7x - 15 = 41
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