1. If j(x) = x2 + 1, find j(a + 1). A. a2 + a + 2 B. a2 + a + 1 C. a2 + 2a + 2 D. a2 + 2a + 1 Hint 2. The population of Abnerville was 12,500 people in 1950. In 2000, the population was 250,000. Find the average rate of increase in the population over the 50 year period. A. 47.5 or about 48 people per year B. 47,500 people per year C. 475 people per year D. 4750 people per year Hint 3. Which is the graph of f(x) = [[2x]]? A. B. C. D. Hint 4. The compound inequality 300 < x + y < 1200 and x = 2y is shown in the graph below. List the possibilities of Bobcats and Lions produced to meet the imposed conditions. A. All points on the segment of the line x = 2y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. B. All points on the segment of the line 2x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. C. All points on the segment of the line 2x = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. D. All points on the segment of the line x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. Hint 5. The cost of producing an item is \$5 per item plus an initial cost of \$2000. The selling price is \$10 per item. Find the break-even point. A. 400 items B. 4000 items C. 4500 items D. 450 items Hint 6. Solve the system of equations by elimination.2x + y - z = 3x + y + z = 5x - 2y + z = 2 A. (2, 1, 2) B. (2, 2, 1) C. (1, 2, 1) D. (1, 1, 2) Hint 7. When is the function f(x) = continuous at x = 2? A. not enough information is given B. sometimes C. never D. always Hint 8. If y varies directly as the cube of x and y = 30 when x = 2, find x wheny = 468.75. A. 7 B. 5 C. 9 D. 3 Hint 9. In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____. A. none of the above is correct B. there is exactly one positive real zero C. there is one imaginary root D. there could be one or three positive real zeros Hint 10. Decompose into partial fractions. A. B. C. D. Hint 11. Solve + < . A. 0 < a < 5 B. a < 0 or 0 < a < 5 C. a > 0 or 0 < a < 5 D. a < 0 or a > 5 Hint 12. Write north latitude 44° 10' 26" as a decimal rounded to thenearest thousandth. A. 44.174° B. 44.177° C. 44.172° D. 44.173° Hint 13. A bicycle wheel is 30 inches in diameter. If the wheel turns at a constant rate of 3 revolutions per second, what is the linear speed in miles per hour of a point on the tire? A. about 18.4 mph B. about 19.5 mph C. about 16.1 mph D. about 13.7 mph Hint 14. Find the value of csc by referring to the graph of the cosecant function. A. undefined B. 0 C. -1 D. 1 Hint 15. Write an equation for a tangent function with period , phase shift -, and vertical shift 3. A. y = tan + 3 B. y = tan + 3 C. y = tan + 3 D. y = tan + 3 Hint 16. A twig bobs up and down in the water. It moves from its highest point down to its lowest point and back every 12 seconds. The distance between its highest and lowest points is 3.2 centimeters. Write a sine function that models the movement of the twig in relation to the equilibrium point. A. B. C. D. Hint 17. Find the maximum value of f(x, y) = x - 4y for the system of inequalities.2x + y 32x + y -2y 4x < 1 A. 16 B. -16 C. -17 D. -3 Hint 18. Solve |4 - x| < 0. A. all real numbers B. {x|x > 4} C. {x|x < 4} D. no solution Hint 19. Describe the end behavior of this function: A. y -2 as x , y -2 as x B. y 0 as x , y 0 as x C. y 3 as x , y 3 as x D. y as x , y as x Hint 20. Given what you know about matrix multiplication, make a conjecture about what kind of transformation in 3-dimensional space is represented by the matrix . A. The transformation is a reflection over the xz-plane. B. The transformation is a dilation by a scale factor of -1. C. The transformation is a translation 1 unit along the y-axis. D. The transformation is a reflection over the yz-plane, followed by a transformation over the xy-plane. Hint