October 22, 2014 Multiply Monomials Lesson objectives Teachers' notes 1) Students will be able to multiply two monomials.
October 22, 2014
Multiply Monomials
Lesson objectives Teachers' notes
1) Students will be able to multiply two monomials.
October 22, 2014
x
5y
x2
8
9xy
x + y
Which one of these expressions is not a monomial?
x + y is a binomial, the others are monomials.A monomial is:
- a constant- a variable- a product 5y
y5
It is a polynomial with only 1 term
October 22, 2014
Multiplying monomials
(3x)(2x)
1
3
2
Multiply the coefficients: (3)(2) = 6
Add the exponents: x1+1= x2
Write final answer. 6x2
October 22, 2014
(5x2)(2x4)
(5)(2)(x2) (x4)
(10)(x2+4)
10x6
(5x2)(2x4)
=
=
=
=
1
2
3
Multiplying monomials: adding exponents
October 22, 2014
Practice multiplying monomials
(4y2)(y6)
=
(4xy3)(7x3y5)
=
(8x)(4y7)
=
(3y2)(y6)(6x3y)
=
4y8
32xy7
28x4y8
18x3y9
x = x1
October 22, 2014
(2x2)(2x6)
Highlight the correct answers
(2x8)
(5a2b)(11b6c3) (a2c8)
(3x3y2)3
6x16 8x16 8x96 2x20
55a4b6c1155a4b7c1116a4b7c11
9x27y8 27x9y6 12x6y6 9x9y9
(3x3y2)
8x16
27x9y6
55a4b7c11
1
2
3
October 22, 2014
35x6( x2) (7x ) =
( x2y )(4x y4)(3x8y7) = 60x13y12
2a7b7c7(abc) ( a bc ) = (2a4b5c3)
Fill in the blanks
2a7b7c7
35x6
60x13y12
October 22, 2014
October 22, 2014
October 22, 2014