This document contains notes from a math lesson on rational expressions. It includes: 1) Two warm up problems asking students to determine if lengths can form right triangles 2) Three problems finding missing measures of right triangles 3) Instructions on how to determine excluded values when variables are in denominators of rational expressions 4) Examples of stating excluded values for various rational expressions 5) Two problems simplifying rational expressions and stating their excluded values

1. Lesson 11­3.notebook April 14, 2014
Assignment:
1­­>Lesson 11.3, #2­8 (evens), #18­28 (evens) ­ Due Tomorrow [4/15]

2. Lesson 11­3.notebook April 14, 2014
Lesson 11­3 WarmUp:
1) Can the measures 8, 12, and 16 be lengths of the sides of a
right triangle? Show your work.
2) Can the measures 7, 24, and 25 be lengths of the sides of a
right triangle? Show your work.
Find the missing measure: [Round to the nearest hundredth if
necessary.]
3) 4)
5)
26
x
16
3
35
x
x
6
14

3. Lesson 11­3.notebook April 14, 2014
Lesson 11­3:
*Remember...we can NOT divide anything by zero...
**So ­ that means that we can't have zero in the
denominator of a rational expression either
***Which means that if there is a variable in the
denominator, we must determine what values
must be "excluded".

4. Lesson 11­3.notebook April 14, 2014
Lesson 11­3 examples:
State the excluded value for each rational expression.
A) 8
x2 ­ 16
B) 3x ­ 2
x2 + 6x + 8
C) 12x
x2 ­ 3x ­ 10

5. Lesson 11­3.notebook April 14, 2014
Simplify each expression. State the excluded value of the variables.
D) 2x + 18
x2 + 8x ­ 9
E) x + 3
x2 + 10x + 21

6. Lesson 11­3.notebook April 14, 2014
F) 36 ­ x2
5x ­ 30
G) 32n2p
2n4p