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# Operations with rational expressions

Find each function value
2) f(y) = y - 2 / -5 + y; f(-5), f(0), f(10)

6) g(x) 4 -3x / 2

10) f(x) = -4x/-2 + x

14) h(x) = 5 -3x / 2x^2 - 14x + 20

18) Explain how to simplify a rational expression or to write in it lowest terms?
Simplify each rational expression
22) 9 - x / 5x - 45

26) x^2 - 4 / 2x + 8x + 8

30) 3x^2 - 5x - 2 / 6x^3 + 2x^2 + 3x + 1

34) x^2 - 8x + 16 / 4 -x
38) 9x^2 - 15x + 25 / 27x^3 + 125
42) - 2xyz^3 x 10xy (multiply)
5x^2z^2 x^3

46) 3ab^2 x a - 2 (multiply)
a^2 - 4 6a^2b^2

50) x^2 - 1 multiply 12x + 36
10x + 30 3x - 3

54) 4a + 36 divide a^2 - a - 6
a^2 - 7a - 18 a^2 - 81

58) 4x + 4 divide x^2 - 4x - 5
x - 1 x^2 - 1

6) 4/ x - 2 - x^2 / x - 2 (subtract)

10) Find the perimeter of the quadrilateral
5/ x - 1 cm, 3x/x -1 cm, x^2 - 8/x - 1cm, x^2 - 2x, x - 1cm

Find the LCD of the rational expressions in each list

14) 5/2x, 7 / 2 + x

18) 2 / 3a + 9, 5 / 5a - 15

22) 2a/a^2 + 8a + 16, 7a/a^2 + a - 12

26) When is the LCD of two rational expressions with different denominators equal to one of the denominators.

30) 4/11x^4y minus 1/4x^2y^3

34) x + 1/x^2 - x - 20 minus 2/x + 4

38) 5/1 -x minus 1/x - 1

42) x + 2/x^2 - 36 minus x/x^2 + 9x + 18

46) a/a^2 + 10a +25 plus 4/a^2 + 6a +5

50) x + 2/x^2 - 2x - 3 plus x/x-3 minus 4/x + 1

54) x + 4/4x minus x - 4/4x

58) -3/2a + 8 minus 8/a^2 + 4a

#### Solution Preview

pls see attached, and please add the parenthesis in the further to avoid ...

#### Solution Summary

This provides several examples of working with rational expressions, including addition, subtraction, domain, simplification, multiplication, and division.

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