Transcript Objective - To use the distributive property to simplify

Distributive Property
a(b  c)  a  b  a  c
or
a(b  c)  a  b  a  c
Order of Operations
Distributive
Property
3(4  5)  3(9)  27
3(4)  3(5)
It works!
12  15
27
Why use the distributive property?
3(x  2)  3(x)  3(2)  3x  6
Simplify using the distributive property.
1) 5(x  3)
4) 4(3  y)
2) 6(y  7)
5) 10(x  7)
3) 3(m  8)
6) 4(k  2)
Use the distributive property to write an equivalent
expression. Then simplify both to show they have
the same value.
1) 5(8  3)  5(8)  5(3)
5(11)
55
40  15
same
55
2) 6(10  3)
3) 8(11  5)
Simplify using the distributive property.
1) 4(x  7)
4) 7(8  x)
2) y(y  3)
5) x(a  b  c)
3) x(2x  9)
6) 4(3  m  k)
Use the distributive property to write an
equivalent variable expression. Then simplify.
1) 8(x  4)
4) y(5)  y(8)
2) 7(3x  2)
5) a  3  a  4
3) 4(5  3x)
6) 6m  11m