Algebra 2 Unit 8.1-8.2 Worksheet - Operations on Rational Functions. Foundation for Algebra II TEK: 2A10.D Determine the solutions of rational equatio...

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8.2 Adding and Subtracting Rational Expressions

NOTES

Foundation for TEK: 2A10.D Determine the solutions of rational equations using graphs, tables, and algebraic methods.

Remember finding the Least Common Denominator (LCD) to add/subtract fractions?

To find the LCD, you must factor each number/polynomial and find the Least Common Multiple (LCM) of the denominators. The LCM contains each factor the greatest # of times it appears as a factor.

EX:

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Well, you must do this same process to add/ subtract polynomials! 1)

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* Find the LCM of 15y and 18xy

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*Find the LCM of 8m n and 12mn

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* Find the LCM of 4w – 16 and 2w - 8

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* Find the LCM of p3 + 5p2 + 6p and p2 + 6p + 9

Simplify Complex Fractions - Work with denominator and numerator separately in the first step. 5)

11 − xy 1+

6)

1 x

2113 Find the slope of a line that passes through the points,, and pp 23

The slope formula is m =

31 − p 2 So m = 12 − 3 p

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.

Algebra 2 Unit 8.1-8.2 Worksheet - Operations on Rational Functions Foundation for Algebra II TEK: 2A10.D Determine the solutions of rational equations using graphs, tables, and algebraic methods.

Look carefully at each problem to see if it is addition, subtraction, multiplication or division. For addition and subtraction you need a ___________________ _____________________. For multiplication, _____________________ first, then _____________________. For division, multiply by the _______________________ of the second fraction.

aa2 ++21 231 aa2 ++

1.

3.

4.

2.

11 xxxx −+−+ 9201025 22

11 424 hh

+

−

h −

66x 2 − 142814 xx2 −+

−9cd 5. 8 xw 15c − w2 (4)

6. 1 +

7.

5 x

73 xxx

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