Solving Equations Medina1 Variables on Both Sides.
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Transcript of Solving Equations Medina1 Variables on Both Sides.
Solving EquationsSolving Equations
Medina 1
Variables on Both Sides
Steps to solveSteps to solve
Medina 2
4. Undo addition or subtraction
You may not have to do all the steps to solve the equation
“You know you are done solving when there is a positive 1 in front of the variable.”
5. Undo multiplication or division
1. Use distributive property on each side2. Combine like terms on each side
get the letter by itself variabl
e
3. Get the variable on one side
Solving Equations with Algorithm Solving Equations with Algorithm
Medina 3
2 6 4 3 9x x x
3x
3x
3x
6
Original problem
Subtract 3x from both sides
Check answer
Combine like terms
3x
6x
6 9
3 3
Add 6 to both sides
15
6 3 9x
6
x1 5
Simplify
Simplify
Divide both sides by 3
To Solve:
Solving Equations with Algorithm Solving Equations with Algorithm
Medina 4
Check:
24 24
5x
2 6 4 3 9x x x
5
6 6 3 9x x 6 6 3 9
30 65
15 9
Solving Equations with Algorithm Solving Equations with Algorithm
Medina 5
To Solve:
4 3 2 3 6x x x
3x
x
3x
6
Original problem
Subtract 3x to both sides
Check answer
Combine like terms
3 12x
6x
6
3 3 Divide both sides by 3
1
2 3 6x x Distributive Property
4x 12 12 3 6x
12 123x 18
Simplify
Subtract 12 to both sides
Simplify
Solving Equations with Algorithm Solving Equations with Algorithm
Medina 6
Check:
18 18
6x -
4 3 2 3 6x x x
6-
6 12 3 6x x
6 12 3 6
36- 12
4 12 2 3 6x x x
6-
18- 6