1. What is the graph of the rational function? A. B. C. D. 2. Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct or inverse variation, write a function to model it. A. inverse variation; B. direct variation; y = -17/9x C. neither 3. Find the least common multiple of x3 - x2 + x - 1 and x2 - 1. Write the answer in factored form. A. (x + 1)2(x - 1) B. (x + 1)(x - 1)(x2 + 1) C. (x3 - x2 + x - 1)(x2 - 1) D. (x + 1)(x - 1)(x2 - 1) 4. Suppose that x and y vary inversely and that inverse variation and find y when x = 4. A. B. C. D. when x = 8. Write a function that models the Question 5 of 20 5.0 Points Simplify the difference. A. B. C. D. Question 6 of 20 5.0 Points Simplify the complex fraction. A. B. C. D. Question 7 of 20 5.0 Points Simplify the sum. A. B. C. D. Question 8 of 20 5.0 Points Simplify the rational expression. State any restrictions on the variable. A. B. C. D. Question 9 of 20 Simplify the sum. A. B. C. D. Question 10 of 20 5.0 Points Designer Dolls, Inc. found that the number N of dolls sold varies directly with their advertising budget A and inversely with the price P of each doll. The company sold 5200 dolls when $26,000 was spent on advertising and the price of a doll was set at $30. Determine the number of dolls sold when the amount spent on advertising is increased to $52,000. Round to the nearest whole number. A. 5,200 dolls B. 1,723 dolls C. 3,447 dolls D. 10,400 dolls Question 11 of 20 5.0 Points A drama club is planning a bus trip to New York City to see a Broadway play. The table represents the cost per person for the bus rental compared to the number of people going on the trip. What function models the data, and how much per person will it cost if 12 students go on the trip? Number of Students (n) Cost per Student (c) A. nc = 9, $10 B. , $12 C. nc = 72, $6 D. Question 12 of 20 5.0 Points , $12 3 $24 6 $12 9 $8 16 $4.5 This graph of a function is a translation of A. B. C. . What is an equation for the function? D. Question 13 of 20 5.0 Points A soccer team is collecting money to buy their coach a present. The table represents the cost per person for the gift compared to the number of people contributing. What function models the data, and how much per person will it cost if all 40 players contribute? Number of Players (n) Cost per Player (c) A. , $20 B. , $5 C. , $10 D. , $5 Question 14 of 20 5.0 Points What is the graph of the rational function? 5 $40 8 $25 15 $13.33 20 $10 A. B. C. D. Question 15 of 20 5.0 Points Describe the vertical asymptote(s) and hole(s) for the graph of A. asymptote: x = 5 and hole: x = 1 . B. asymptote: x = -5 and hole: x = -1 C. asymptote: x = -3 and hole: x = 5 D. asymptote: x = 5 and hole: x = -1 Question 16 of 20 5.0 Points Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct or inverse variation, write a function to model it. A. direct variation; y = 12x B. inverse variation; C. neither Question 17 of 20 5.0 Points Simplify the rational expression. State any restrictions on the variable. A. B. C. D. Question 18 of 20 5.0 Points Simplify the rational expression. State any restrictions on the variable. A. B. C. D. Question 19 of 20 5.0 Points Graph the function. A. B. C. D. Question 20 of 20 5.0 Points Solve the equation. Check the solution. A. B. C. D. 2