The document outlines the schedule and topics for a math class, including: - A final exam review covering rational expressions, adding/subtracting rational expressions, and solving rational equations. - The next class will focus on solving rational equations and mixture problems, followed by a review for the last test before the final exam. - Examples are provided for simplifying, adding, subtracting, multiplying, and dividing rational expressions.

1. Today:
 Final Exam Review
 Rational Expressions Review
 Adding/Subtracting Rational Expressions
Class Work
May 26, 2015

2. Last Khan Academy Due This Weekend
Tomorrow:
 Solving Rational Equations
 Mixture Type Problems
Then:
 Review for Last Test of the Year
before Final Exam

3. The specs for Samsung’s latest, yet
to be released phone, were leaked
online Saturday. Based on the
specs, what will the screen size
be?
1” = 25 mm.
Final Exam Review: (June 9th )

4. Write the equation for, and graph the line perpendicular to the line
shown and passing through the points (0,1) and (-2,0) y = 1/2x + 1
Final Exam Review: (June 9th )
What is the solution to the equations?

5. Final Exam Review: (June 9th )

6. Simplify:
Simplify:
Final Exam Review: (June 9th )

7. Simplifying Rational Expressions
Simplify; Excludify
x ≠ -2,-5
x ≠ 9

8. Adding and Subtracting Rational Expressions
with like Denominators
x ≠ 4,8

9. LCD=6x
Adding and Subtracting Rational Expressions
with unlike Denominators
2r - 1 r + 4 (2r – 1)(r + 4)
Find the LCD

10. Adding and Subtracting Rational Expressions
with unlike Denominators
1. Find the LCD of the denominators
2. Multiply each fraction by the remaining factors of the LCD
3. Perform the addition or subtraction

11. Simplify:
Adding and Subtracting Rational Expressions
with unlike Denominators

12. +
a2 – 36 a - 6
3 2 +
(a + 6)(a – 6) (a – 6)
3 2
(a + 6)
(a + 6)(a – 6)
3 + 2a + 123 2
(a + 6)(a – 6) (a + 6)(a – 6)
+
(a + 6)(a – 6)
2a +15
Adding and Subtracting Rational Expressions
with unlike Denominators

13. ~Works the same as multiplying fractions:
 Multiply numerators
 Multiply denominators
 Simplify
Multiplying Monomials

14. • Factor numerators and denominators first.
• Then, multiply (don’t FOIL, keep in factored form)
• Simplify
Hint:
Multiplying Polynomials
Multiply:

15. • To divide: flip and multiply.
• Then simplify.
• Example:
Dividing Rational Expressions

16. Class Work:
 4.11/4.12

17. Adding and Subtracting Rational Expressions
with like Denominators