Addition and Subtraction Property of Equality

Addition and Subtraction Property of Equality

1. ADDITION AND
SUBTRACTION
PROPERTY OF
EQUALITY

2. ADDITION PROPERTY OF
EQUALITY (APE)
●If a, b, and c are real numbers then,
a + c = b + c

3. SUBTRACTION PROPERTY OF
EQUALITY (SPE)
●If a, b, and c are real numbers then,
a - c = b - c

4. Solve for x.

x - 2 = 13
x - 2 + 2 = 13 + 2 (add 2
to both sides of the
equation)

x = 15
EXAMPLE 1

5. Solve for x.

x + 9 = 21
x + 9 - 9 = 21 - 9
(subtract 9 to both sides
of the equation)

x = 12
EXAMPLE 2

6. EXAMPLE 3

7. Try it!

8. Determine the solution of
each equation.

a + 2 = 5
Try it!

9. Determine the solution of
each equation.

c - 4 = 16
Try it!

10. Determine the solution of
each equation.

12n + 10 - 10n = 10 + 3n -3
Try it!