1. solve equations with variables on both sides. 2. solve equations where combining like terms is...
TRANSCRIPT
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1. solve equations with variables on both sides.
2. solve equations where combining like terms is required.
SOL: A.4df
I can. . .
Designed by Skip Tyler, Varina High School
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Solve equations with the variables on the same side
2x + 4x + 5 = 23
6x + 5 = 23 (Combine Like Terms)
-5 - 5 (Undo Addition/Subtraction)
6x = 18 (Simplify)
6 6 (Undo mult/div)
x = 3
![Page 3: 1. solve equations with variables on both sides. 2. solve equations where combining like terms is required. SOL: A.4df I can... Designed by Skip Tyler,](https://reader036.vdocuments.us/reader036/viewer/2022081513/5697c0211a28abf838cd2e24/html5/thumbnails/3.jpg)
Example: On your own
Try It– Then Move Box
Try It Then Move Box
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1) Solve. 3x + 2 = 4x - 1
You need to get the variables on one side of the equation.
It does not matter which variable you move.
Try to move the one that will keep your variable positive.
![Page 5: 1. solve equations with variables on both sides. 2. solve equations where combining like terms is required. SOL: A.4df I can... Designed by Skip Tyler,](https://reader036.vdocuments.us/reader036/viewer/2022081513/5697c0211a28abf838cd2e24/html5/thumbnails/5.jpg)
1) Solve 3x + 2 = 4x - 1- 3x - 3x
2 = x - 1
+ 1 + 1
3 = x
3(3) + 2 = 4(3) - 1
9 + 2 = 12 - 1
1. Draw the line down the middle
2. Subtract 3x from both sides
3. Simplify4. Add 1 to both sides5. Simplify6. Check your answer
![Page 6: 1. solve equations with variables on both sides. 2. solve equations where combining like terms is required. SOL: A.4df I can... Designed by Skip Tyler,](https://reader036.vdocuments.us/reader036/viewer/2022081513/5697c0211a28abf838cd2e24/html5/thumbnails/6.jpg)
Special Case #5 6) 2x + 5 = 2x - 3
-2x -2x
5 = -3
This is never true!
No solutions
1. Draw “the river” 2. Subtract 2x from both
sides3. Simplify
![Page 7: 1. solve equations with variables on both sides. 2. solve equations where combining like terms is required. SOL: A.4df I can... Designed by Skip Tyler,](https://reader036.vdocuments.us/reader036/viewer/2022081513/5697c0211a28abf838cd2e24/html5/thumbnails/7.jpg)
Special Case #2
3x - 2 = 3x – 2
-3x -3x
-2 = -2
This is always true!
Infinite solutions or Many Solutions
1. Draw “the river” 2. Subtract 3x from both
sides3. Simplify
![Page 8: 1. solve equations with variables on both sides. 2. solve equations where combining like terms is required. SOL: A.4df I can... Designed by Skip Tyler,](https://reader036.vdocuments.us/reader036/viewer/2022081513/5697c0211a28abf838cd2e24/html5/thumbnails/8.jpg)
What is the value of x if -3 + 12x = 12x - 3?
1. 0
2. 4
3. No solutions
4. Infinite solutions
Answer Now
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Go to Number 11• Review Annotation and Copy them
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Now try 12
• When you have completed it raise your hand so that I can check your work