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

mrwaddell.net

• 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