Today Important Dates

Final Exam Review: (4)Simplifying & Multiplying/Dividing

RationalsPractice Problems

May 29, 2014

Notes:

1. Test Dates: a. Rational Expressions/Multiplying & Dividing Rational Expressions—Thursday, June 5th.b. Final Exam: Wednesday, June 11.2. Final Exam Study Guide posted @v6math. The solutions to all problems will be posted shortly.

3. Khan Academy due Monday, June 2nd for everybody. The last KA will be posted before the 2nd.

4. Find some graph paper in your notebook, put today’s date on it and leave it in your notebook when we are finished today. Warm up section, please.

Final Exam Review:

1. Graph the inequality y> -2x + 1

2. Write the inequality of the graph shown

y < x - 4

3. Graph the solution to the system of inequalities

4. Write the system of inequalities shown in the graph.

y > -2

y < x - 1

Class Notes Section of Notebook

Simplifying Rationals:

Now then, what is it we don’t understand about rational

expressions?...And don’t say everything.

Let’s

Practice...

What is an excluded value?Find the excluded value(s), if any, in the following.𝟓𝒙

𝟐

Simplifying Rationals:

Simplify rational expressions by using the same steps you would to simplify any fraction. Factor the numerator and denominator. Divide the numerator and denominator by the GCF. The GCF may be a monomial or polynomial.

Simplifying Rationals:

What is/are the excluded value(s)?

When we cancelled factors (x – 7), we were performing a division operation. Since

division by zero is undefined, x ≠ 7

On yur own.. Simplify & find excluded values

Excluded values are?

w ≠ 2, 6

4 - 22 - 4=

x -yy - x= -1

Simplify: x - 3 x + 3

Cannot be Simplified

(3 + x)(3 - x) 2(x - 3)

(3 + x)(3 - x) -2(3 - x)

Simplifying Opposites

=-1𝟐−𝟐

Multiplying & Dividing Rationals: Same as Fractions

Complete Class Work