Combining like Terms and the Distributive Property

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Transcript Combining like Terms and the Distributive Property

How can I use the Distributive Property to combine like
terms?
Distributiv
e Property
A)
a(b + c)
B)
b(c + a)
C)
c(a + b)
Distributive
Property
A) 2(x+6)
B) (1 + 2n)7
C) (2p-3)1/2
D) (x-2)5
E) 5(2-f)
F) (6y + 4)3
G) 6(2y +4)
Combine
Like Terms
A. 7x + 5 + 6x – 4
B. 5y²- 4 + 9y²
C. 2p + 3 – 2 - 1p
D.
8 + 4x + 5y – 7 + 2x²- 2x
E.
5y + 8x + 3y - 6x + 3
F.
You write one for
your partner. You
will exchange and
solve.
Distributive Property
and Combing Like
Terms Altogether!
A)
7(x + 2) - 3(4-x)
B)
4(x + 1) + 2(4x-5)
C)
2(x +3) + 3(5-x)
D)
6(x + 7)– 5(10x-2)
Application of
Information
…show what you know!
Tara and Carlos decided to
rent a van to drive to Disney
World with their adorable
children. The RentACar
Agency told them they would
be charged $40.00 each day.
They would also have to pay
15 cents per mile.
A) Write an equation to show
the total cost of a one day
rental with x miles driven.
B) If they drive 550 miles
and they are gone for 7 days,
how much will they owe?
Let’s Review
A)
6(4 + x) =
B)
4x + 3 - 2x +5=
C) 2x + 8y – 7 + 2x²+ 5y –y
=
D) 6(x+y)-4(2x +3y)
E)
Last year, my
brother lost 119
pounds. Before
that he weighed
354pounds! How
much does he
weigh now? Write
an equation to
show what he will
weigh if he loses 3
more pounds.