1. Determine the slope of the line that passes through (2, 2) and (5, 8). A. B. -2 C. D. 2 Hint 2. Three out of the four equations listed below are equations of lines that are parallel to each other. Which equation does not have a graph that is a line parallel to the other three? A. 3x + 4y = -16 B. C. D. 8y = - 6x Hint 3. What is the slope of the line through the points A(-3, 4) and B(2, -1)? A. -3 B. 1 C. -1 D. Hint 4. Determine the slope of the line containing the points P(-7, -8) and Q(3, 0). A. B. C. 2 D. -2 Hint 5. Which characteristic describes a graph that is linear and has direct variation. A. The graph does not pass through (0, 0). B. Variables x and y are not proportional. C. The equation has the form y = mx. D. The equation has the form y = mx + b. Hint 6. Find the equation that has direct variation. A. y = 4x B. y = –3x – 1 C. y = 0.8x + 9 D. y = 5x + 1.3 Hint 7. Find the situation that involves a decreasing linear relationship and has direct variation. A. An airplane that begins at 20,000 feet and descends for a landing on the ground at the airport. B. A bucket that begins at ground level and is lowered into a well at a rate of 1 foot per second. C. The temperature that begins at 0°F at 6:00 a.m. rises 3°F every hour for 6 hours. D. A submarine that begins at the bottom of the ocean and is raised to the surface of the water at 15 meters per second. Hint 8. Find the equation that is nonlinear. A. y = 14 + 6x B. y = 8 – x C. y = –3x – 1 D. y = 4y2 Hint 9. Find the table that represents a graph with direct variation. A. B. C. D. Hint 10. Michael just got a job mowing his elderly neighbor's lawn paying him \$10 each week. Draw a graph showing the amount he receives is increasing very rapidly. Suppose you graph the time in weeks on the horizontal axis and the amount Michael receives on the vertical axis. A. B. C. D. Hint 11. Pam's mother gives Pam \$20 each week for lunch to be bought at the school cafeteria. Lunches cost \$4 per day. Draw a graph showing the amount Pam has left decreasing very slowly. Suppose you graph the time in days on the horizontal axis and the amount Pam has left on the vertical axis. A. B. C. D. Hint 12. Find the graph of y = x2. A. B. C. D. Hint 13. Find the equation of the graph below. A. y = x2 – 3 B. y = (x - 3)2 C. y = x2 + 3 D. y = (x + 3)2 Hint 14. Two friends are playing catch with a baseball. The ball's flight can be modeled by the equationy = 1 + 0.6x – 0.08x2, in meters. What is the height of the ball at its highest point? A. 2.13 m B. 1 m C. 3.78 m D. 18.8 m Hint 15. Consider the equation xy = 3. What happens to the value of y when x doubles? A. y triples B. y quarters C. y doubles D. y halves Hint 16. Find the equation of the following graph. A. y = x3 B. y = x2 C. y = D. y = Hint 17. In the relationship , why is y inversely proportional to x? A. the relationship is undefined at x = 0 B. 8 is divided into x C. the product of xy is a constant, 8 D. 8 is divided into y Hint 18. What are the second differences in the y-values? A. 0 B. 2 C. 1 D. –1 Hint 19. What type of relationship does the equation have if its second differences are constant? A. cubic B. constant C. quadratic D. linear Hint 20. How many counterexamples are needed to prove a conjecture wrong? A. 1 B. 2 C. 4 D. 3 Hint