Objective - To use the distributive property to simplify
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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