Objective
The student will be able to:
use the distributive property to
simplify expressions.
SOL: A.3
Designed by Skip Tyler, Varina High School and Nicole Kessinger, Deep Run High School

The Distributive Property
The process of distributing the number
on the outside of the parentheses to
each term on the inside.
a(b + c) = ab + ac
and
(b + c) a = ba + ca
a(b -
c) = ab - ac
and
(b -
c) a = ba - ca
Example #1
5(x + 7)
5 • x + 5 • 7
5x + 35

Example #2
3(m - 4)
3 • m - 3 • 4
3m - 12
Example #3
-2(y + 3)
-2 • y + (-2) • 3
-2y + (-6)
-2y - 6

Which statement demonstrates the distributive property incorrectly
?
12345678910111213141516171819202122232425262728293031323(x + y + z) = 3x + 3y + 3z(a + b) c = ac + bc5(2 + 3x) = 10 + 3x6(3k - 4) = 18k - 240%0%0%0%1.3(x + y + z) = 3x + 3y + 3z2.(a + b) c = ac + bc3.5(2 + 3x) = 10 + 3x4.6(3k - 4) = 18k - 24Answer Now

A
term
is a
1)
number,
2)
variable, or
3)
a product / quotient of numbers
and variables.
Example
5
m
2x
2

The
coefficient
is
the numerical part of the term.
Examples
1)
4a
4
2)
y
2
1
3)
5
x
2
7
5
7

Like Terms
are terms with the same
variable AND exponent.