Number operation review 7 doc

Now combine like terms:

14x  9y  18z

To multiply monomials, multiply their coefficients and multiply like variables by adding their exponents.

Example

(4a3b)(6a2b3) (4)(6)(a3)(a2)(b)(b3) 24a5b4

To divide monomials, divide their coefficients and divide like variables by subtracting their exponents.

Example

1

1

0

5

x

x

5

4

y

y

7

2 (

1

1

0

5

)(

x

x

5

4 )(

y

y

7

2 )

2x

3

y5

To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial and add the

products.

Example

8x(12x  3y  9) Distribute.

(8x)(12x)  (8x) (3y)  (8x)(9) Simplify.

96x2  24xy  72x

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial and add the quotients.

Example

6x  1

6

8

y  42

6

6

x



1

6

8y



4

6

2

x  3y  7

Practice Question

Which of the following is the solution to

1

2

8

4

x

x

8

3

y

y

5

4 ?

a. 4x

3

5

y

b.

18

2

x1

4

1y9

c. 42x11y9

d.

3x

4

5y

e.

x

6

5y

Answer

d. To find the quotient:

1

2

8

4

x

x

8

3

y

y

5

4 Divide the coefficients and subtract the exponents.

3x8 

4

3y5  4

3x

4

5y1

3x

4

5y

–ALGEBRA REVIEW–

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