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Solving Equations by Adding and Subtracting

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Solving Equations by Adding and Subtracting Think of an equation as a balance scale. When you solve an equation, your goal is to isolate the variable. – PowerPoint PPT presentation

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Title: Solving Equations by Adding and Subtracting


1
Solving Equations by Adding and Subtracting
Think of an equation as a balance scale.
When you solve an equation, your goal is to
isolate the variable.
2
Golden Rule of Equations
What you do to one side of an equation, you must
do to the other side to keep it the equation
balanced.
ADDITION and SUBTRACTION balance each other
MULTIPLICATION and DIVISION balance each other
3
Addition Property of Equality
You can Add the same number to each side of an
equation without changing the value.
Y - 5 13
Y - 5 (5) 13 5
Y 18
4
Subtraction Property of Equality
You can SUBTRACT the same number from each side
of an equation without changing the value.
Y 5 13
Y 5 -(5) 13 - 5
Y 8
5
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6
Examples
  1. t 58 71

2. x 6 -55
3. 114 m 249
4. x 34 -46
7
Examples Cont.
5. x x 64
6. x x 64
7. The sale price of a camera is 119. This is
35 less than the original price. What was the
original price?
8
Division Property of Equality

3x
18
9
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10
Examples
1. 5b -235
2. -7h 35
  • d/4 7

11
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12
Remember Whatever you do to one side of an
equation, you must do to the other!
Be careful you cannot divide by zero Division
by ZERO is
UNDEFINED
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