Do Now

Is the data qualitative or quantitative?1) The heights of everyone in the class.

2) The favorite television shows of everyone in the class.

Would the data need to be univariate or bivariate?3) Does the number of hours a student studies

improve his/her final examination scores?

4) Find the mean of the scores on the last math test.

Is the situation biased?5) A study is conducted to determine the number of

students who wore a free promotional T-shirt given to all students at a local university rock concert.  Five hundred students were chosen at random from the 5000 students attending the concert and asked if they wore the T-shirt during the concert.

6) A study is conducted to estimate the average speed of drivers using the fast lane of the highway.  To determine the drivers' speeds, a police car will follow the drivers on the highway and record their speeds using the police car's speedometer.

A monomial is a single term, it can be1. a number,

2. a variable, or

3. a product of one or more numbers and variables.

Examples:

5

y

3x2y3

Why are the following not monomials?

x + yaddition

division

2 - 3a

subtraction

x

y

Multiplying MonomialsWhen multiplying monomials, you1) MULTIPLY the coefficients 2) ADD the exponents.

1) x2 • x4

x2+4

x6

2) 2a2y3 • 3a3y4

6a5y7

Simplify m3(m4)(m)

1. m7

2. m8

3. m12

4. m13

Raising Monomials To A PowerWhen you raise a monomial to a power,

you first rewrite the problem, then multiply.

1) (x3)2

(x3) (x3)x6

2) (y2)4

(y2) (y2) (y2) (y2)y8

Simplify (p4)4

1. p2

2. p4

3. p8

4. p16

1) (2a)3

(2a) (2a) (2a)

8a3

2) (3x)2

(3x) (3x)

9x2

More Practice

Simplify (4r)3

1. 12r3

2. 12r4

3. 64r3

4. 64r4

Even More Practice

1) (x3y2)2

(x3y2) (x3y2)

x6 y4

2) (-4x4y3)3

(-4x4y3) (-4x4y3) (-4x4y3)

- 64x12y9

Simplify (3a2b3)4

1. 12a8b12

2. 81a6b7

3. 81a16b81

4. 81a8b12

* Always start with the exponents outside the ( ) !!!!

1) (3x2y3)2(4xy)

(3x2y3) (3x2y3) (4xy)

36x5 y7

2) (4xy)2 (-2x2)3

(4xy) (4xy) (-2x2) (-2x2) (-2x2)

- 128x8y2