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Solving Equations with Variables on Both Sides
Presentation
•
Mathematics
•
9th Grade
•
Hard
Catherine Hanley
Used 844+ times
FREE Resource
17 Slides • 2 Questions
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Solving Equations with Variables on Both Sides
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At the end of this lesson you will be able to:
Solve linear equations with variables on both sides
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Step1:
Get all the variable terms on one side of the equation
It doesn’t matter which side you choose - I tend to move it so my variable term remains positive
Make sure you follow the rules for equations
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Step 1:
subtract 3x from BOTH sides
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Step 2:
Now get all the constants (regular numbers) to the OTHER side of the equation
Once completed you will have your variable term on one side, and your constant term on the other
Make sure you follow the rules for equations
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Step 2:
subtract 1 from BOTH sides
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Step 3: Solve this one step equation
Divide to get the variable all by itself
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Step 3:
divide each side by 2
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Step 4: Check your answer
Substitute your answer into every variable in the equation
Follow the rules of the order of operations
If the two sides match then you have the correct answer
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Step 4:
check the answer x = 2
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Regardless of which variable term you move first the answer is still x = -14
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Alternate method:
- Subtract 7x from both sides
- -13 = -10x - 33
- Add 33 to both sides
20 = -10x
- divide both sides by -10 and you still get x = -2
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Alternate Method:
- Add 6x to both sides
-4x + 15 = 17
- Subtract 15 from both sides
-4x = 2
- Divide both sides by -4 and you still get -0.5 or -1/2
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Video Links - copy URL
https://www.youtube.com/watch?v=wShnYemIr28&t=5s
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Fill in the Blanks
Type answer...
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Solution to
2x - 5 = 4x + 3
Same problem solved two different ways
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Fill in the Blanks
Type answer...
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Solution to
-3x + 1 = -7x - 9
Same problem solved two different ways
19
Practice Using IXL
See Playlist on Google Classroom -
Algebra 1 J.6
Solve linear equations with variables on both sides
Solving Equations with Variables on Both Sides
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