3. $100 $200 $300 $400 $500 $200 $300 $400 $500 Sys. Of Eq. - Graphing Scatter Plots Sys. Of Inequalities Slope and y- intercept Functions & Relations

4. Systems of Equations – Graphing for $100 What is the solution to the following system of equations shown by the graph:

5. Answer Back The lines intersect at the point (-3, 1)

6. Systems of Equations – Graphing for $200 What is the solution to the following system of equations shown by the graph:

7. Answer Back There is no solution – the lines are parallel and thus they never intersect.

8. Systems of Equations – Graphing for $300 Write a system of equations to describe the following graph:

9. Answer y = -x + 2 and y = 2x - 1 Back

10. Systems of Equations – Graphing for $400 Solve the following system of equations by graphing: y = (1/2)x + 2 y = (-3/4)x - 3

11. Answer Back y = (1/2)x + 2 y =(-3/4)x – 3 Solution: (-4, 0)

12. Systems of Equations – Graphing for $500 Solve the following system of equations by graphing: y = 2x - 5 3x + y = 0

13. Answer Solve both equations for slope-intercept form: 3x + y = 0 -3x y = -3x And y = 2x -5 Solution: (1, -3) Back

14. Scatter Plots for $100 Does the following scatterplot show a positive, negative, or no correlation? How do you know?

15. Positive because as one variable increases the other variable also increases Answer Back

16. Scatter Plots for $200 Make a scatter plot for the following data comparing practice to score in a violin competition, and draw in the trend line: Practice (weeks)Score 615.5 821.5 1026.5 1234 1433 1637 1841

17. Answer Back

18. Scatter Plots for $300 What is wrong with the following scatter plot? (Name 2 things)

19. Answer 1)The line of best fit is not correct. 2)There is no arrow at the end of the trend line Back

20. Scatter Plots for $400 Use a graphing calculator to find the equation of the line of best fit for the data. Average Speed (mi/h)Time (Hours) 8.52.5 7.53.75 6.54.5 6.05.0 5.5 5.06.25 4.06.75 3.58.75

21. y = –1.11x + 11.83 Answer Back

22. Scatter Plots for $500 Use a graphing calculator to find the equation of the line of best fit for the data. GRAPH on your whiteboard YearDistance (meters) 031.9 131.55 234.45 331.6 434 536.15 635.05 738.7

23. Answer y = 0.864x + 31.15 Back

24. Slope and y-Intercept for $100 Write the linear equation for slope-intercept form.

25. Answer y = mx + b Back

26. Slope and y-Intercept for $200 Write the equation of the line in slope-intercept form that has a slope of -3 and a y-intercept of 5

27. Answer Back Slope-intercept Form: y = mx + b So, Y = -3x + 5

28. Slope and y-Intercept for $300 Write the equation of the line through points (2, 3) and (4, -1) in slope intercept form

29. Slope Intercept Form: y = mx +b Points: (2, 3) and (4, -1) m = (y2 – y1)/(x2 – x1) m = (3- -1)/(2 – 4) = 4/-2 = -2 Slope-intercept Form: y = mx + b 3 = -2(2) + b b = 3+4 = 7 y = -2x + 7 Answer Back

30. Slope and y-Intercept for $400 Write the equation of the line in slope-intercept form: The line through points (-2, 3) and (0, -1)

31. Answer Point: (-2, 3) Point: (0, -1) m = (y 2 – y 1 )/(x 2 – x 1 ) m = (-1- 3)/(0 – -2) = -4/2 = -2 Slope-intercept Form: y = mx + b -1 = -2(0) + b -1 = b Thus, y = -2x - 1 Back

32. Slope and y-Intercept for $500 Write the equation of the line in slope intercept form:

33. Answer Slope Intercept Form: y = mx +b Pick two points on the line: Points: (-4, -1) and (0, -2) m = (y2 – y1)/(x2 – x1) m = (-1- -2)/(-4 – 0) = 1/-4 = -1/4 B = -2 because that is y when x = 0 Thus, the equation of the line is y = -1/4x - 2 Back

34. Functions and Relations for $100 Define: Relation

35. Answer Relation – A set of ordered pairs Back

36. Functions and Relations for $200 Draw a mapping diagram for the following set of data. Is it a function? (3,4) (2,1) (5,7) (3, -2)

37. No it is not a function because one input (3) goes to two outputs (4 and -2) Answer Back 235235 DomainRange -2 1 4 7

38. Functions and Relations for $300 Write the following equation in function notation: y = 3x - 4

39. Answer y = 3x - 4 f(x) = 3x-4 Back

40. Functions and Relations for $400 Use the vertical line test to determine if the following graph is a function

41. Answer Yes, it is a function because the vertical line never hits more than one point at a time. Back

42. Functions and Relations for $500 Write the function rule from the given graph.

43. Answer Two points on the graph: (0, -3) and (1, -1) m = (y2 – y1)/(x2 – x1) m = (-3 - -1)/ (0-1) m = -2/-1 = 2 y = mx + b y = 2x +b -3 = 2(0) + b b = -3 f(x) = 2x - 3 Back

44. Systems of Inequalities for $100 Graph the following inequality: y < -2x + 1

45. Answer y < -2x + 1 Back

46. Systems of Inequalities for $200 Graph the following inequality: y ≥ 3x + 3

47. Answer y > 3x + 3 Back

48. Systems of Inequalities for $300 Write an inequality to describe the following graph:

49. Answer The line is dashed so it is The graph is shaded above the line meaning it is > or ≥ Thus, it has to be > (The only one that is for dashed and shaded above) The line has a y-intercept of -2 and a y- intercept of -1, so the equation of the line is: y > -x - 2 Back

50. Systems of Inequalities for $400 Graph the following system of inequalities: y > -2x – 3 4x -2y ≥ 8

51. Answer Back Write both eq.’s in slope intercept form: y > -2x – 3 and 4x -2y ≥ 8 -4x -2y ≥ -4x + 8 -2 -2 -2 y ≤ 2x - 4

52. Systems of Inequalities for $500 Write a system of inequalities to describe the following graph:

53. Answer Back y < -x + 2 and y ≥ 3x + 6