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Warmup Alg 2 19 Mar 2012
Warmup Alg 2 20 & 21 Mar 2012
Warmup Alg 222 Mar 2012
Agenda• Don't forget about resources on
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• Section 8.5: Adding rational expressions• Adding rational expressions• Subtracting rational expressions
Go over assignment from last class period
Section 8.5: Fractions are your friend
Adding Rational Expressions 1
Common or “Like” denominators
Easy stuff. Just add or subtract the top!
8
7
8
5
8
75
8
12
And reduce if possible
24
34
2
3
A more complex problem
22 4
3
4
5
x
x
x
x
Step 1: you have Like D’s
Step 3: add or subtract
Step 2: combine them
Step 4: reduce
24
)3()5(
x
xx
24
22
x
x
222
)1(2
x
x
22
)1(
x
x
Unlike Denominators
Unlike denominatorsOnly one more step
6
7
4
5
First, find common D.
REMEMBER, you can always just multiply the D’s! 4
4
6
7
6
6
4
5
64
2830
Do the math, you know what to do!
64
58
Factor and simplify.
122
292
12
29
Adding Simple Rational Expressions
Step 1: Factor everything
Step 3: Multiply the D’s
Step 2: find the common denominator)3)(1(
)1(2)3(3
xx
xx
3
2
1
3
xx
)34(
22932
xx
xx
Step 4: Simplify 34
1152
xx
x
Adding Simple Rational Expressions
Step 1: Factor everything
Step 3: Multiply
Step 2: find the common denominator
)2)(1(
)1(2)2)(13(
xx
xxx
2
2
1
13
xx
x
)2(
22)253(2
2
xx
xxx
Step 4: Simplify 2
332
2
xx
xx
Assignment
Section 8.5: pg 586
6 – 8,
16 – 23,
27 – 30