Download Addition property of equality

ADDITION, SUBTRACTION,
MULTIPLICATION, AND DIVISION
PROPERTIES OF EQUALITY
ADDITION AND SUBTRACTION
PROPERTIES OF EQUALITY
 Let a, b, and c represent algebraic expressions
 Addition property of equality:
If a = b,
then a + c = b + c
 Subtraction property of equality:
If a = b,
then a – c = b -c
APPLYING THE ADDITION AND
SUBTRACTION PROPERTIES OF
EQUALITY
In each equation, the goal is to isolate the variable on
one side of the equation. To accomplish this, we use
the fact that the sum of a number and its opposite is
zero and the difference of a number and itself is zero.
p – 4 = 11
To isolate p, add 4 to
both sides (-4 +4 = 0).
p – 4 +4 = 4 +4
p- + 0 = 15
p = 15
Simplify
CHECK
MULTIPLICATION AND DIVISION
PROPERTIES OF EQUALITY
Multiplication and Division Properties of Equality
Let a, b, and c represent algebraic expressions
1. Multiplication property of equality:
If
then
2. Division property of equality:
If
then
provided c ≠ 0
a = b,
ac = bc
a=b
a b

c c
Applying the Multiplication and
Division Properties of Equality
12x = 60
To obtain a coefficient
of 1 for the x-term,
divide both sides by 12
12x = 60
12 12
Simplify
x=5
Check!
Tip: Recall that
the product of a
number and its
reciprocal is 1.
For example:
1
(12)  1
12