Download Multi-Step Equation Notes

Multi­Step Equation Notes
October 28, 2014
Solving Equations
The task is always to get the variable ALONE
(aka ISOLATE the variable).
Solving equations is basically UNDO-ing
operations that are being done to the variable.
Remember, whatever you
do to one side, you MUST
do to the other so they
remain equal.
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Multi­Step Equation Notes
October 28, 2014
Solving Equations
Solving equations is basically UNDO-ing
operations that are being done to the variable.
Use opposite operations to UNDO.
• Opposite of Addition is Subtraction
• Opposite of Multiplication is Division
**Dividing by a fraction is the same as
multiplying by it's reciprocal!
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Multi­Step Equation Notes
October 28, 2014
Solving Multi-Step Equations
like terms- terms that have the same variables
raised to the same power
Examples:
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Multi­Step Equation Notes
October 28, 2014
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Multi­Step Equation Notes
October 28, 2014
Solving Multi-Step Equations
Distributive Property- allows you to multiply each
term inside parentheses by the number outside the
parentheses
Examples:
5(2x + 3)=
(x – 7)3=
-4(8x + 9y)=
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Multi­Step Equation Notes
October 28, 2014
Solving Multi-Step Equations
Examples:
c) (x – 7)3 + 5 = 2
d) 2x + 7 - 5x = 13 - 18
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Multi­Step Equation Notes
October 28, 2014
Solving Multi-Step Equations
Examples:
e) 6(2x + 5) + 5(3x – 7) = 4
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Multi­Step Equation Notes
October 28, 2014
Solving Multi-Step Equations
When solving an equation, you must distribute and/or
combine like terms to simplify the equation before you
solve.
Examples:
a) 5(2x + 3)= 25
b) -4(8x + 9)= -36
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Multi­Step Equation Notes
October 28, 2014
Solving Multi-Step Equations
Examples:
f) 7(6x – 1) – 6(8x + 3) = 5
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Multi­Step Equation Notes
October 28, 2014
Solving Multi-Step Equations
Examples:
g) 8(5x - 1) +3 = 19
-15
h) 4(11x + 3) + 21 = 41
5
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Multi­Step Equation Notes
October 28, 2014
Solving Multi-Step Equations
Examples:
g) 8(5x - 1) +3 = 19
-15
h) 4(11x + 3) + 21 = 41
5
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Multi­Step Equation Notes
October 28, 2014
Solving Multi-Step Equations
Classwork:
Solving Multi-Step Equations WS
If you don't finish it now, it's homework!
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Attachments
2014­09­11 algebraic fractions.rtf