Download Alg II Algebraic Expressions (1.3) 8

Variables and Expressions
The building blocks of math (1.3)
POD
Warm up with a little PEMDAS. Send them via
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3 45  2 
3 45  2  3 
3  4  5  (2  3) 
5(3  4)  2 
How about absolute value? Solve for x = 5.
17  4 x  2 
POD
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3  4  5  2  13
3  4  5  2  3  10
3  4  5  (2  3)  23
35
5(3  4)  2 
2
How about absolute value? Solve for x = 5.
17  4 x  2 
POD
Warm up with a little PEMDAS. Send them via
Navigator.
3  4  5  2  13
3  4  5  2  3  10
3  4  5  (2  3)  23
35
5(3  4)  2 
2
How about absolute value? Solve for x = 5.
17  4 x  2  17  20  2  3  2  1
SAT Question #1
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11 11 8
If P   
14 14 9
then P =
How did you get your answer?
8
a.
9
9
b.
8
c.8
d .11
e.14
SAT Question #2
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If
3x
9
4
find 6x.
How did you get your answer?
a.12
b.18
c.27
d .36
e.72
SAT Question #3
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Simplify 3a b  
3
2
2 3
a.27a 9 b 6
b.54a 9 b 6
c.729a 9 b 6
d .729a 18b12
e.729a 54b16
How did you get your answer?
Polynomials– expressions with numbers and variables involving only
addition, subtraction, and multiplication
This year we’ll work a great deal with polynomials. It will
pay to have a look at the various polynomial parts, the
PP’s if you will.
We have lions and tigers and bears– oh, wait.
We have coefficients, variables, and exponents.
With those parts, we can ONLY add, subtract, and
multiply.
Can someone give an example of a polynomial? (Think
of the graphs you studied in Algebra I.)
Polynomials– expressions with numbers and variables involving only
addition, subtraction, and multiplication
anxn + an-1xn-1+ an-2xn-2 + an-3xn-3 + … a1x + a0
This is a general shape for a polynomial– looks odd, but
we can have it make sense.
Identify the parts: coefficient, leading coefficient
variable
exponent/ degree
We have two ways to classify polynomials– size and
degree:
monomial, binomial, trinomial
linear, quadratic, cubic, quartic, etc.
Polynomials– expressions with numbers and variables involving only
addition, subtraction, and multiplication
Is 5 a polynomial? Are these? Why or why not?
0
1
3
x
3x 2  5
3x  x
x 5
x8
2