Answer the following:

Practice and Problem Solving Find the sum or difference. 45 3. 4. 5. 5 9 16 7 5 1 7. 2 6z 6. 8. + 3v 3v x+2 x+ 2 4(z - 1) 4(z - 1) 312 2n + 3 -17 - 2 p- 2 2 9. 10. + 11. - - n - 2 1- - 1 - 2 p2- 5p+4 p- - 5p+4 12. ERROR ANALYSIS Describe and correct X 4 5 the error in adding the rational expressions. * - 3 + *- 3 2x - 6 Find the LCD of the rational expressions. 2 13. 3 7 1 9 14. 15. 2x x 12y 1By m+5 m-4 16. 2g.- 17. h 18. - 5- 7 3 hta'h + 2h -3 $2 - 2s - 8's - 4 19. CEREAL The height of a cereal box is given S 2 fw 2(8 + w) 2(6+ w) where S is the surface area, / is the length, and w is the width. Find the difference.Find the sum or difference. 014) 20. x+1 2-1 21 7-1 22. 3 - 4+ 2 23. 24. 25. 2p+3 AM- 7 7 - A 1 + 3x- 10 2- 1 p - 7p+ 12 p-3 26. ERROR ANALYSIS Describe and correct the X .+ error in adding the rational expressions. 27. REASONING Can you find a common denominator of two mitonal expressions by finding the product of the denominators? Is this product always going to be the least common denominator? Justity your answers. 28. RUNNING You run 3 miles up a hill and 3 miles down the hill. You run 25% faster going down the hill than going up the hill Let s be your speed (in miles per hour) while running up the hill. Write an expression that represents the amount of time you spend running on the hill 29. OPEN ENDED Write two rational expressions with unlike denominators. I. Find the least common denominator of the two expressions. b. Add the two expressions. Write an expression for the perimeter of the figure. 30. J 31. 32. U 1p+4 204 4 D + 10 A + 10 45 - 1Simplify the expression. ac+ 1 34. 5 33. if + 5 35. 36. x+ 4 20-2 37. HOMEWORK You have 20 more math exercises for homework than biology exercises. You finish 15 exercises before dinner and 18 exercises after dinner. Write an expression that represents the portion of exercises that are complete. 35. WAKEBOARDING You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock. The boat travels & miles per hour during the entire trip, and the river current is 3 miles per hour a. Write an expression that represents the total time of the trip b. How long will the trip take when the speed of the boat is 18 miles per hour? 39. Logic > Leta, b, c, and d be polynomials. Find two rational expressions " and so that -= 2x + 11 Fair Game Review what you learned in previous grades & lewind Graph the system of linear inequalities. (Section 4.5) 40. y > 2x + 1 41. 72 - 42. PS 4r - 3 p