Daily Starter
Simplify:
1. 3x2
6xy
Factor:
3. 4x2 – 16 4.
2. ­ab
ab2
5x2y– 15xy2 – 12x2y2 5. 6x2 + 5y
Feb 16­7:01 PM
1
y = kx
Steps: 1. Plug in x and y
2. Solve for k
3. Use k to rewrite the equation
Mar 2­7:18 AM
2
Section 11.4
Simplifying Rational
Expressions
Feb 16­7:05 PM
3
Definitions:
Rational Number:
Rational Expression:
Undefined:
Feb 16­7:09 PM
4
Simplifying a rational expression:
F
C
R
Feb 16­7:12 PM
5
Simplifying a rational expression:
4x
20
Feb 16­7:12 PM
6
Simplifying a rational expression:
2x
2(x + 5)
Feb 16­7:12 PM
7
Simplifying a rational expression:
x(x2 + 6)
x2
Feb 16­7:12 PM
8
Simplifying a rational expression:
x+4
x
Feb 16­7:12 PM
9
Simplifying a rational expression:
2x2 - 6x
6x2
Feb 16­7:12 PM
10
Simplifying a rational expression:
3x2 - 18x
-9x2
Feb 16­7:12 PM
11
Practice
Mar 2­7:15 AM
12
Homework:
Section 11.4a
p. 667
# 10, 12, 14, 15, 16, 24-26 all
Feb 16­7:22 PM
13
Homework Answers:
10. x
12.
14.
25x2
3
15.
7
7
7 - x2
6
16. Cannot be simplified
x + 12
24. 3
25. 8
26. -1, 1
Feb 16­7:27 PM
14
Daily Starter:
Simplify and indicate where undefined:
1. 14x2
50x4
2. 42x - 6x3
36x
Feb 16­7:33 PM
15
Mar 3­8:41 AM
16
Mar 3­8:23 AM
17
Mar 3­8:43 AM
18
Mar 3­8:45 AM
19
Mar 3­8:47 AM
20
Simplifying a rational expression:
6 + 2x
x2 + 5x + 6
Feb 16­7:12 PM
21
Simplifying a rational expression:
x+6
x2 + 7x + 6
Feb 16­7:12 PM
22
Simplifying a rational expression:
x2 - 8x + 15
x-3
Feb 16­7:12 PM
23
Simplifying a rational expression:
x3 + 2x2 - 15x
x2 - 5x + 6
Feb 16­7:12 PM
24
Simplifying a rational expression:
7 - 3x
x2 + 16x + 63
25
Homework:
Section 11.4b
p. 667
# 20-23, 27-29
Feb 16­7:41 PM
26