Answer the following:

Find the product or quotient. 17 + 6m + 9 1. 32 10z 3m 2. 5 6m 923 m + 3 2. 1464 3. x+6 x2- 36 763 3. 4. 3b - 12 x - 2 x - 3x + 2 b2 - 96 + 20 Find the quotient. 5. (p2 + 3p - 28) + (p-4) 6. (c' - 50 - 8) + (c+ 2) Find the sum or difference. 7 1 - 4y 3y - 6 x - 3 2 8. + y - 3 y - 3 x- + 2x + 1 x + 1 9. k+ 1 3 m + 1 5k2 10. 10A 2m - 6 m- - 9 Solve the equation. Check your solution. 11. 2 6 4 x - 2 8 12. X x + 10 X - 2 13. 14. 3 2 + 5a + 3 a 3 a + 3 a2 - 9 15. The cost for you and your friends to go to a movie is represented by 6x + 24, where x is the number of tickets sold. Everybody who went to the movie, except 2 friends who forgot their money, shares the cost equally. Find (6x + 24) + (x - 2) to determine an expression for how much each person pays. 16. You have a bag of peanuts, chocolate, and raisins. Fifteen of the 36 pieces are peanuts. You add more peanuts and increase the ratio of peanuts to the total number of peanuts, chocolate, and raisins to 9 : 16. How many peanuts do you add?or neither. Tell whether & and y show direct variation, inverse variations 1. 2 3 4 30 10 7.5 Answers 2 V 3. The variable y varies directly -12 -16 with x. When x = 8 y = 6. Write and graph a direct variation equation that relates x and y. identify the asymptotes of the graph of the function. Then describe the domain and range. 3 4. V + 2 x - 5. y = - Find the inverse of the function. Graph the inverse function. 6. f(x) = 4x - 1 7. f(x) = x2 + 2, where x 2 0 - 2 2 1 x 7. B. Simplify the rational expression, if possible. State the excluded value(s). 9. 9. 18w/2 10 8. 1515 2 w7 a2 - 9 b2 + 8b + 15 10. 11. a2 + 2a - 3 62 - b- 12 12. You have $120 to donate equally to several charities. Does this situation represent direct variation or inverse variation? Explain. 13. The side length of a square is represented by the expression x + 1. Write and simplify a rational expression for the ratio of the perimeter to the area. Big Ide