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