1. In a science experiment, students hung a cup from a spring and measured the length of the spring when candies were added to it. Their data are shown in the table below. Which statement is true? A. The relation is a function because the range values increase. B. The relation is not a function because only a line can be a function. C. The relation is a function because for each x value, there is exactly one y value. D. The relation is not a function because there are two y values for some x values. Hint 2. State the slope and y-intercept of the graph of -y = -0.9x + 4. A. m = 0.9, b = -4 B. m = 4, b = -0.9 C. m = -4, b = 0.9 D. m = -0.9, b = 4 Hint 3. Choose the graph that shows the solution to the system of inequalities and A. B. C. D. Hint 4. What is the solution of the system of inequalities? A. region 4 B. region 2 C. region 3 D. region 1 Hint 5. Which is the quadratic term in the function f(x) = 3x2 + 6x - 4? A. 3x2 B. x2 C. 3x2 + 6x - 4 D. 3 Hint 6. When x3 - 4x2 + x - 5 is divided by x - 2, the quotient is _____. A. -11 B. x - 2 C. x2 - x + 25 D. x2 - 2x - 3 Hint 7. Find 2p(a) + p(a - 1) if p(x) = x2 + x. A. 3a2 - a B. 3a2 + a C. 3a2 + 3a D. 3a2 Hint 8. If y varies inversely as x and y = 3 when x = 3, find y when x = 4. A. 4 B. 3.5 C. 1 D. 2.25 Hint 9. Choose the line that has a slope of zero. A. B. C. D. Hint 10. Suppose a plant grows one inch every year. If x is how old the plant is (in years), and f (x) is how tall the plant is (in inches), what type of function is f (x)? A. identity function B. constant function C. absolute value function D. step function Hint 11. At a firm, there are three workers that are supposed to work a combined 110 hours per week. Worker 1 gets paid \$10 per hour, worker 2 gets paid \$12 per hour, and worker 3 gets paid \$14 per hour. If the company wants their total income to be \$1268, how many hours should each one work if worker 3 and worker 2 work for the same amount of hours? A. worker 1: 54worker 2: 28worker 3: 28 B. worker 1: 44worker 2: 33worker 3: 33 C. worker 1: 40worker 2: 35worker 3: 35 D. worker 1: 14worker 2: 48worker 3: 48 Hint 12. Find the inverse of if it exists. A. B. C. does not exist, since ad  bc = 0 D. Hint 13. Which of the following is a matrix equation for the system 5x  3y =11, 3x + 2y = 7? A. B. C. D. Hint 14. Evaluate A. 81 B. 27 C. 486 D. 9 Hint 15. Solve A. B. 1, 1.22 C. D. 1, 11.31 Hint 16. Which of the following points will not be included in the graph of ? A. (-2, 4) B. (2, 4) C. (3, 9) D. (4, 6) Hint 17. What is the major difference between hyperbolas and parabolas? A. In parabolas, one of the squared terms has a coefficient that is = 0. B. Hyperbolas have the potential to be wider than parabolas. C. Parabolas are always a function of x, while hyperbolas are not a function of either. D. Hyperbolas are connected, while parabolas are not. Hint 18. Solve 4  2e4x = 1. A. 0.41 B. 0.10 C. 0.41 D. 0.10 Hint 19. Suppose three coins are tossed, and each time, they turn up heads. What is the probability that the next toss will be heads? A. 0.5 B. 0.125 C. 0.9375 D. 0.0625 Hint 20. Suppose that the mean is 50. How many standard deviations away is the value 65? A. about 1 standard deviation B. cannot be determined from given information C. about 2 standard deviations D. within 1 standard deviation Hint