Answer the following questions:

Find the sum or difference. 1. 3h + 2. 8 3. + 4. 5p 5p 8 4 2 5. 6. + S - 3(n + 3) 3(n + 3) Find the LCD of the rational expressions. 7. 5 2 8. 3 d 15h 10h 3 9. 10. -, 5u x+7x 11. Describe and correct the error in finding the LCD of the rational expressions. X 1 1 6x' 9x LCD = 54x Find the sum or difference. 12. ' - 2 3y + 2 13. 1+5 1 - 2 3y 7y 10t 14. 4 - h + 3 3q 15. + h - 3 q . 16. You drive your boat 15 miles against the current to a picnic area, and then drive back to the dock. You drive x miles per hour during the entire trip, and the ocean current is 3 miles per hour. Write an expression for the total time of the trip.Find the sum or difference. 1. 2 7 2 2. 5t 5t p+4 p +4 2 3. V + 4. 9(w - 3) + 9(w - 3) 4 5. 2s + 1 5 - 2 6. x - 4 82 + 4s + 3 8- + 48 + 3 + x- - 5x + 6 x- - 5x + 6 Find the LCD of the rational expressions. 7. . 2 4 B. 8y 12y 3 c+1 3 d 9. 2 10. d - 4' d' - 5d + 4 f+1 11. Find the sum - 15 + V3 X 8x-2 Find the sum or difference. 3p 12. 13. J - 3 p - 8 8 - p j +6 + 2 4 14. z+3 15. w - 2 2 23 - 72 + 10 z - 2 w + w - 12 3 - w 16. Let a, b, c, and d be polynomials. Find two rational expressions - and so that ~ + 3x + 14 b (x + 2) (x+ 6)Simplifying Complex Fractions A complex fraction is a fraction that contains fractions in its numerator and/or denominator. To simplify a complex fraction, write its numerator and its denominator as single fractions. Then divide by multiplying by the reciprocal of the denominator. Example Simplify 3 x - 3 3 3 4x - II Add fractions in denominator. + * + 1 (x - 4)(x + 1) 3 4x + 11 Write as division. X- 4 (x - 4)(x + 1) 3 (x - 4)(x + 1) = Muliply by the reciprocal. x- 4 4x - 11 3(x + 1 ) Divide out the common factor. 4x - 11 Simplify the complex fraction. 2. 3. 4 x+2 20 X+ 5. 6. 3.x3 - 3 2 + 4 x+ r+l x - 2x - 3 2.x 3(4.x + 3) 7. 8. 13 - 16 4x + 3 9. 1 + 5 x + 4 x- 4 4.x + 3