Download Chapter 11 Handout

Chapter 11 Rational Equations and Functions
Monday
March 19
11.1
26
11.5
April 2
Tuesday
20
11.2
27
11.6
3
Wednesday
21
11.3
28
11.6
4
9
10
11.7
17
Ch 11 Test
11
11.8
16
review
Thursday
22
11.3
29
Quiz 11.1-11.6
5
Holy Thursday
12
11.8
Friday
23
11.4
30
11.7
6
Good Friday
13
review
Below is an estimate of when assignments will be due. Dates may be adjusted.
Date Assigned
Assignment
-due next day
Monday, March 19
11.1 p646 18,22,26,30,34,38,44,47,48
Tuesday, March 20
11.2 p653 #14-32 even, 33-41,45
Wednesday, March 21 11.3 p659 #12-36 even, 37,38
Thursday, March 22
11.3 p660 #42,47-49; p662 1-9 odd
Friday, March 23
Monday, March 26
Tuesday, March 27
Wednesday, March 28
Thursday, March 29
11.4 p667 10-30 even, 31, 40,41,50
11.5 p673 12-34 even, 52,59
11.6 p679 10-32 even, 36-38, 42-48 even
Study for quiz on 11.1-11.6
11.7 p687 16-22 even; 23-26 all; 28-48 even
Tuesday, April 10
Wednesday, April 11
Thursday, April 12
Friday, April 13
quiz 1 p662; quiz 2 p682
11.8 p694 14,16,18,22,24,26,30, 32,34,36
p700-702 #2-28 even
Study for Ch 11 Test
11.1 Ratio and proportion
Proportion
Extremes
Reciprocal Property: if two ratios are equal, then their reciprocals are equal; a/b=c/d then b/a=d/c
Cross product property: product of extremes=product of means
if a/b=c/d, then ad=bc USE ONLY IN PROPORTIONS
Extraneous solution
11.2 Percent
11.3 Direct and inverse variation
Direct variation: y=kx
Indirect variation: y=k/x
Graph and compare: y=2x and y=2/x
11.4 Simplifying rational expressions
Rational number: # that can be written as the quotient of two integers, eg. 1/2, 4/3, 7/1
Rational expression: a fraction whose numerator, denominator, or both are nonzero polynomials
-is undefined when the denominator is equal to zero
Simplified: in a fraction, the numerator and denominator do not have any common factors other
than + or - 1
- ac/bc is simplified to a/b
Are the original expression and the simplified expression defined for the same values of the
variable?
A rational expression is undefined when the denominator=0
Natural or counting numbers: 1,2,3,4,5..
Whole numbers: 0,1,2,3,4,5...
Integers: …-3,-2,-1,0,1,2,3...
Rational numbers: can be written as an integer/a natural #, or a/b b not equal zero, can also be
written as either a terminating decimal or a repeating decimal; eg 19/8=2.374; 1/3 =.3333...
Irrational number: a number whose decimal form is nonterminating and nonrepeating eg
√5 or pi√3 pi/2
11.5 Multiplying and dividing rational expressions
To multiply: multiply numerators and denominators, then factor and divide out common factors.
To divide: multiply by the reciprocal of the divisor, then factor and divide out common factors.
11.6 Adding and subtracting rational expressions
With Like Denominators:
eg. 1/4+2/4=3/4; 5/6-2/6=3/6
To add, add the numerators: a/c +b/c = (a+b)/c
To subtract, subtract the numerator: a/c-b/c=(a-b)/c
With Unlike Denominators:
eg. 1/4+2/6= 3/12+4/12=7/12
find the least common denominator, then add or subtract
11.7 Dividing polynomials
11.8 Rational equations and functions