1. May 30, 2014

2. 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 Tuesday, June 3rd 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.

3. Determine which point is a solution to the system of equations.
y = -2x + 6
-2x + y = + 2
The solution to this system of equations is (1,4)

4. Solve for a specific variable
S = 2h + 4
7q
Scores on your first 2 tests were 85 and 65.
What score must you get on your 3rd and final
test to average 70%?

5. Review: Simplifying Rationals

6. Simplify the expression:

7. Multiply & State Excluded Values

8. 𝟕
𝟏𝟎
+
𝟐
𝟏𝟎
=
𝟗
𝟏𝟎
𝟓
𝒙
+
𝒙−𝟓
𝒙
=
𝟓+𝒙−𝟓
𝒙
=
𝒙
𝒙
= 1
Adding and Subtracting Rational Expressions
1. All addition & subtraction rules of fractions apply. In particular:
a) Like terms are much more important than when mult./dividing
b) Finding the LCD of two unlike denominators is key to success

9. 𝟏.
𝟒
𝒙+𝟏
+
𝒙−𝟏
𝒙+𝟏
=
𝟒+𝒙−𝟏
𝒙+𝟏
=
𝒙+𝟑
𝒙+𝟏
Adding and Subtracting Rational Expressions
𝟐.
𝟏𝟎𝒙
𝒙−𝟒
−
𝟖𝒙
𝒙−𝟒
=
𝟏𝟎𝒙−𝟖𝒙
𝒙−𝟒
=
𝟐𝒙
𝒙−𝟒

10. 𝟐𝒙
𝒙 𝟐−𝒙−𝟒𝟐
−
𝒙−𝟔
𝒙 𝟐−𝒙−𝟒𝟐
Adding and Subtracting Rational Expressions
=
𝟐𝒙−(𝒙−𝟔)
𝒙 𝟐−𝒙−𝟒𝟐
=
𝟐𝒙−𝒙+𝟔
𝒙 𝟐−𝒙−𝟒𝟐
=
𝒙+𝟔
𝒙 𝟐−𝒙−𝟒𝟐
=
𝒙+𝟔
(𝒙+𝟔)(𝒙−𝟕)
=
𝟏
𝒙−𝟕

11. Adding and Subtracting Rational Expressions *
=
𝟒𝒙−(𝒙−𝟐)
𝟑𝒙 𝟐−𝒙−𝟐
=
𝟒𝒙−𝒙+𝟐
𝟑𝒙 𝟐−𝒙−𝟐
=
𝟑𝒙+𝟐
𝟑𝒙 𝟐−𝒙−𝟐
=
𝟑𝒙+𝟐
(𝟑𝒙+𝟐)(𝒙−𝟏)
=
𝟏
𝒙−𝟏

12. Adding and Subtracting Rational Expressions

13. Adding and Subtracting Rational Expressions
3 + 3
5 4 = 6/20 = 3/10
Find the LCD of..
The LCD is the product of each
unique (different) factor
2•2 •r, 2 •5 •r •r = The LCD is 20r2

14. Adding and Subtracting Rational Expressions
28 m3
Add the following:
First, find the LCD
Next, multiply both
sides by the LCD

15. Complete Class Work