1. Warm-up!!
1/15/2019
Day 6

2. 1/15/2019
Homework Questions???

3. Are you ready for the Skills Check??
1/15/2019
Day 6
Are you ready for the Skills Check??

4. State the Domain and Range
1/15/2019
State the Domain and Range

5. Are these Functions? If no, WHY NOT??
1/15/2019
Are these Functions? If no, WHY NOT??
Input
Output -2 2 1 4 5 6
YES NO

6. f(-2) = (-2)2 – 2(-2) + 3 f(-2) = 4 + 4 + 3 f(-2) = 11
1/15/2019
Evaluating a function
f(x) = x2 – 2x + 3 when x = -2
f(-2) = (-2)2 – 2(-2) + 3
f(-2) =
f(-2) = 11

7. 1/15/2019
Day 6
Skills Check

8. GSE Algebra I
UNIT QUESTION: How can we use real-world situations to construct and compare linear and exponential models and solve problems?
Standard: MGSE.APR.1 – add and subtract polynomials.
Today’s Question:
How do we combine like terms?

9. Adding and Subtracting Polynomials

10. Naming Polynomials MONOMIALS: A. A monomial is
B. Some examples of monomials are:
a number, variable, or a product of numbers and variables.
x y a5

11. A. A polynomial is the ________ or ___________ of monomials.
POLYNOMIALS:
A. A polynomial is the ________ or ___________ of monomials.
monomial
the sum
B. An example of a polynomial in one variable, x, would be
x3+6x2+12x+8
C. How many MONOMIALS are there in the above polynomial? 4

12. B. Example: Find the degree of the following polynomial:
The _________exponent in the polynomial determines the DEGREE OF A POLYNOMIAL in one variable.
largest
A. Example: The degree of –7x + 9 – 4x2 is ____ because ___ is the largest exponent in the polynomial. 2 2
B. Example: Find the degree of the following polynomial:
x4 + 6x3 + 7x5 + 12x 5

13. B. The coefficient of the first term is called the _______________.
STANDARD FORM
A. The terms of a polynomial are in STANDARD FORM if they are ordered from left to right in ______________ order; which means from the ____________ exponent to the smallest.
decreasing
largest
B. The coefficient of the first term is called the _______________.
C. To write a polynomial in Standard Form, ______________ the terms of the polynomial in ______________ order according to the ________________ of the variables.
Lead coefficient
arrange
decreasing
exponent

14. STANDARD FORM
D. Example: Write 9 + x – 4x3 in standard form.
– 4x3 + x + 9
E. Example: Write 3x2 – 2 + 4x – 5x3 in standard form.
– 5x3 + 3x2 + 4x - 2

15. B. Their _________ of terms C. Look at the chart for an explanation.
Some polynomials have SPECIAL NAMES that are determined by the following:
A. Their _________ or
B. Their _________ of terms
C. Look at the chart for an explanation.
degree
number

16. Polynomial Name by # of Terms DEGREE Name by Degree12 8x
4x2 + 3
5x3 + x2
3x2 – 4x + 6
Monomial Constant
Monomial Linear
Binomial 2 Quadratic
Binomial Cubic
3 Trinomial 2 Quadratic

17. Adding Polynomials We don’t need the parenthesis.
Underline, circle, double underline… LIKE terms.

18. Subtracting Polynomials
We need to distribute the negative.

19. Simplify the following expressions
1/15/2019
Simplify the following expressions
4(x – 3) + 2x – 7
-2(2x + 1) – 3(5x – 2)
3(x3 – 2x2 + 5x +1)

20. Evaluating Functions

21. Find the indicated values by using the graph.
1/15/2019
Find the indicated values by using the graph. 5
g(4) = ___
g(9) = ___
g(5) = ___
g(___) = 1
What are the values for g(______) = 3? 4 9 10
1 & 7

22. Find the indicated values by looking in the table.
1/15/2019
Find the indicated values by looking in the table. 15 x
h(x) 3 2 7 4 11 6 15
h(6) = ___
h(2) = ___
h(___) = 3
h(___) = 11
h(1) = ___
h(3) = ___
h(___) = 13 7 4 5 9 5

23. 1/15/2019
Practice WS