3.4 communicating with algerbra

Review

43{ Power

Exponent

Base

The Language

25 x x5 2

Each one is a term

Coefficient VariableConstant

-

Identify the coefficient and the constant for the following situations:

Travel expenses are $180 for a bus plus $94 a day for the driver.

Identify the coefficient and the constant for the following situations:

Travel expenses are $180 for a bus plus $94 a day for the driver.

– Constant = $180– Coefficient =94– X = variable– Therefore bus cost $180+94x

Bjorn Daehlie can ski 40km per hour.

Bjorn Daehlie can ski 40km per hour.

– 40 coeffieient– X variable– Distance is 40x

It costs $15 an hour for guitar lessons plus $100 for materials

It costs $15 an hour for guitar lessons plus $100 for materials

constant is $100

Coeffieient is $15

Variable is x (hours worked)

Therefore cost is 100 +15x

Ploynomial

Are algerbraic expression that contain more than one term

– Monomial – 1 term 2x, 4, x, 24p– Binomial – 2 terms 5x-2, 22t-5, 5x +2y– Trinomials – 3 terms 4c - 2b2 + 12

5

4

3

2

2

1 2 ax

Classify each polynomial by the number of terms:

a) -2x2 + 4

b) -3m

c) 5x2 – 2xy + 1

d) 2x – 3x + 7

Classify each polynomial by the number of terms:

a) -2x2 + 4 Binomial

b) -3m Monomial

c) 5x2 – 2xy + 1 Trinomial

d) 2x – 3x + 7 Brinomial (like terms)

Every polynomial can be classified by its DEGREE

DEGREE of a TERM: the sum of the exponents of the variables

2x = 1 degree

3y2 = 2 degree

DEGREE of a POLYNOMIAL: determined by the term with the largest sum

Degree of polynomial

Find the degree of each polynomial: a) 2x – 5

b) 3x2 + 5x – 2

c) 4x3y2 + 2xy – 10

d) -5m4n2 – 7m6n

Degree of polynomial

Find the degree of each polynomial: a) 2x – 5 Degree 1

b) 3x2 + 5x – 2 Degree 2

c) 4x3y2 + 2xy – 10 Degree 5

d) -5m4n2 – 7m6n Degree 7

= 5

= 6 = 7

= 2

Lift tickets at a ski resort cost $60 per adult, $45 per student and $30 per child.

Write an algebraic expression to represent the cost for a family to go skiing for the day.

X = # of adults

Y = # of students

Z = # of children

60x + 45y + 30z

cont

State what type of a polynomial it is and its degree.

60x + 45y + 30z =Trinomial

60x + 45y + 30z =Degree 1

Evaluate

Evaluate the cost if two adults, 3 students and one child go skiing.

= 60x + 45y + 30z

= 60(2) + 45(3) + 30(1)

=120 + 135 + 30

=$285