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9/15/14
NSCHS
Alg2/Trig
Unit 1 Lesson 6
Aim: How do we solve absolute
inequalities and add polynomials?
Do Now: Solve for x.
|13 – x| = 5
Example
 Remember: absolute
positive answers
l
3x – 2 l + 8 = 1
value always gives us
Absolute Value Inequalities
Solve them the same way you would equations
except that when you separate the equation into 2
cases, you must flip the sign on case 2.
 If the variable starts off less than a value, it becomes
an intersection. If the variable is more than a value,
it becomes a union.


Examples: lxl < a


x< a and x>-a
Examples: lxl > b

x>b or x <-b
Example:

lxl < 5

x < 5 and x > -5
Example:

lxl > 14

x > 14 or x < -14
Example:
l
4x – 7 l > 13
Practice

l 5z + 2 l < 17
Classwork/Homework#4

P. 16 # 8 – 11, 16 – 20, 25, 2

Quiz Wednesday on:





Classify Real Numbers – Rational, Irrational,
natural, whole, integer
Properties of Real numbers – associative,
commutative, distributive, inverse, identity
Solve equations and inequalities
Solve absolute value equations
Translating sentence/phrase into an
equation/expression.
Monomial and Polynomial

A monomial is an algebraic expression that is the
product of constants and variables.

A polynomial is an algebraic expression that is the sum
or difference of monomials. Each monomial within the
polynomial is called a term.
Degree of a Polynomial

Essentially, it’s the highest exponent.

Ex:
4x4 – 34x2 + 12x7

Ex:
5
Hint:

When you get a long convoluted polynomial, arrange the
terms from highest exponent to lowest exponent.
Adding Polynomials

In order to add polynomials, you can ONLY add like
terms together.

Terms are considered like terms iff they contain the
EXACT same variables risen to the EXACT same
exponents.
Determine the Sum of:

4x2 + 7x – 4
and
8x2 -12x + 13
Determine the Sum of:

3t2 – 7t3 – 6t + 15
and
7t3 + 5t – 2t4 + 8
Determine the Sum of:

and
Subtracting Polynomials

Recall:
5 – 13

The same must be applied to polynomials.
Subtracting Polynomials

Ex: Determine the difference of the following:

4x2 – 3
and
5x2 + 10
Determine the difference of:

4x2 + 7x – 4
and
8x2 -12x + 13