Ms. Garcia Math
Symmetric Property of Equality
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Both sides of the equation are equal.
If
A=B
then
B=A
Addition property of equality
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Adding the same number to each side of an equation gives us an equivalent equation
if
x = y
, then
x + k
=
y + k
Subtraction Property of equality
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Subtracting the same number to each side of an equation gives us an equivalent equation
if
x = y
, then
x - k
=
y - k
Multiplication property of equality
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If you multiply each side of an equation by the same real number you produce an equivalent equation
if
x = y
, then
x·k
=
y·k
Division property of equality
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If you divide each side of an equation with the same real number you produce an equivalent equation
if
x = y
, then
x/k
=
y/k
Substitution Property of equality
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If x = k , then k can be substituted for x in any expression.
Addition property of zero
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Adding 0 to a number does not change the number
Multiplicative Identity Property
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A number does not change when that number is multiplied by 1