This document provides an overview of topics to be covered in class today including: final exam review problems involving solving rational equations, simplifying rational expressions, and adding/subtracting rational expressions. Students are also assigned to complete class work from the previous day and Khan Academy problems for homework due tomorrow. The final note indicates that all practice problems come from the Algebra II workbook.

1. Today:
Final Exam Review
Rational Expressions Review
Adding/Subtracting Rational Expressions
Solving Rational Equations
Complete Class Work from Yesterday
Khan Academy Due Tomorrow for Everyone
June 3, 2014

2. Final Exam Review: (June 11th )
x2 + x – 42 = 0

3. Final Exam Review: (June 11th )
Simplify the following expression:
(x + 2) + (x – 2)(2x + 1) (2x2 – 3x -2) + (x +2)
Solve: 2x2 – x – 4 = 0

4. Simplifying Rational Expressions &
Multiplying/Dividing
Simplify: 𝟗𝒙(𝒙 − 𝟖)
𝟗𝒙(𝒙 − 𝟔)
÷
𝒙 − 𝟖
𝟓
=
𝟗𝒙(𝒙 − 𝟖)
𝟗𝒙(𝒙 − 𝟔)
∙
𝟓
𝒙 − 𝟖
=
𝟗𝒙 𝒙 − 𝟖 𝟓
𝟗𝒙(𝒙 − 𝟔)(𝒙 − 𝟖)
𝟓
𝒙 − 𝟔

5. Adding and Subtracting Rational Expressions
with unlike Denominators
Find the LCD
18a3b3
5d - 20
(x + 4)(x + 1)2
(s + 2)(s - 2 )(s + 5)

6. (x + 1)(x – 2)
x – 3
x2 – x – 2
x – 3
+ x – 3
4
x + 2 LCD = (x – 3)
x – 3 x – 3
+
x2 – x – 6 4
Adding and Subtracting Rational Expressions
with unlike Denominators

7. Adding and Subtracting Rational Expressions
with unlike Denominators
=
𝟐 𝒙+𝟔 +𝒙
(𝒙+𝟔)(𝒙−𝟑)
The LCD 𝐢𝐬 (𝐱 + 𝟔)(𝐱 − 𝟑)
𝟐
𝒙 − 𝟑
+
𝒙
𝒙 𝟐 + 𝟑𝒙 − 𝟏𝟖
𝟐
𝒙 − 𝟑
∙
𝒙 + 𝟔
𝒙 + 𝟔
+
𝒙
(𝒙 + 𝟔)(𝒙 − 𝟑)
=
𝟑𝒙+𝟏𝟐
(𝒙+𝟔)(𝒙−𝟑)

8. +
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

9. Solving Rational Equations

10. Solving Rational Equations

11. Solving Rational Equations

12. Class Work: Please Change #2 to the following
Final Note:
All of today’s practice problems come from the
Algebra II workbook.