This document contains notes from a math lesson on adding and subtracting rational expressions. It provides examples of finding common denominators when adding or subtracting rational expressions with the same or different denominators. Students are given practice problems to find the sum or difference of various rational expressions. The document also lists upcoming assignments, including a lesson worksheet due the next day, a checkpoint due in a few days, and a chapter test scheduled for the following week.

1. Lesson 11­6.notebook April 22, 2014
Assignment:
1­­>Lesson 11.6, ##3­48 [thirds] ­ Due Tomorrow [4/23]
2­­>Checkpoint 11.5­11.6 ­ Due Thursday [4/24]
3­­>Chapter 11 Test ­ Tuesday [4/29]

2. Lesson 11­6.notebook April 22, 2014
Lesson 11­6 WarmUp:
Find each product.
1) 3x 8x2
16x2 3
2) x + 3 5
x x2 + 7x + 12
F
Find each quotient.
3) 4 12
15n3 25n
4) 4d ­ 8 2d ­ 4
2d ­ 6 d ­ 4
5) y2 ­ 1 y ­ 7
y2 ­ 49 y + 1

3. Lesson 11­6.notebook April 22, 2014
Lesson 11­6:
*To add or subtract rational expressions, we must have common
denominators [just like fractions]
**When they are the same:
­­add or subtract the numerators
­­keep the same denominator
­­simplify if possible
***EX­­> 5n 15
n + 3 n + 3

4. Lesson 11­6.notebook April 22, 2014
**When they are the different:
­­find the LCM of the denominators
­­write as equivalent expressions
­­add or subtract the numerators
­­keep the same denominator
­­simplify if possible
***EX­­> 4d2 d + 2
d d2

5. Lesson 11­6.notebook April 22, 2014
Lesson 11­6 examples:
Find each sum or difference.
A) 1 5m
6m 6m
B) a 3a
4 4
C) 3a + 1 a + 4
a ­ 1 a ­ 1
D) x + 8 x
2 2
­
­

6. Lesson 11­6.notebook April 22, 2014
E) 3 2
4x 5y
F) 6 2
5t2 3t
G) a a
a ­ 2 a + 1
­

7. Lesson 11­6.notebook April 22, 2014
H) 8 ­5
3c 6d
I) n 1
2n + 10 n2 ­ 25
J) 2x x + 3
x2 + 8x + 15 x + 5
­