1. 2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt SequencesSlope Writing Equations Systems of Equations

2. Determine whether the following is a function {(2, 5); (3, 9); (2, 7); (-3, 6)}

3. No it is not a function since the x-value of 2 repeats

4. Determine whether the following is a function x48392 y127573

5. It is a function because no x-value repeats; despite on of the y-values repeating

6. Find the value of f(9) if f(x) = 3x - 5

7. f(x) = 3x – 5 f(9) = 3(9) – 5 = 27 – 5 = 22

8. Find the value of g(-4) if g(x) = 4x + 2

9. g(x) = 4x + 2 g(-2) = 4(-4) + 2 = -16 + 2 = -14

10. Determine whether the following is a function

11. It is not a function since it doesn’t pass the vertical line test

12. Write an equation for the sequence below 3, 4, 5, 6, …

13. t = n + 2

14. Write an equation for the following sequence 2, 4, 6, 8, …

15. t = 2n

16. Write an equation for the following sequence 6, 16, 26, 36, …

17. t = 10n – 4

18. Find the 13 th term of the following sequence by first finding the equation 4, 8, 12, 16

19. t = 4n t = 4(13) t = 52

20. Find the equation and find the 33 rd term of the following sequence 7, 9, 11, 13, …

21. t = 2n + 5 t = 2(33) + 5 t = 66 + 5 t = 71

22. Find the slope of a hill that has a vertical change of 5 feet and a horizontal change of 12 feet

24. Find the slope of a hill that has a horizontal change of 15 feet and a vertical change of 7 feet

26. Find the slope on the graph

28. Find the slope based on these two points (4, 8) and (7, 12)

30. Find the slope based on these two points (-8, 12) and (4, -15)

32. Name the equation in slope-intercept form Slope is 2 and y- intercept is 3

33. y = mx + b m is slope b is y-intercept b = 3 and m = 2 y = 2x + 3

34. Give the equation of the graph below in slope-intercept form

35. y = mx + b m is slope b is y-intercept b = -2 and m = 5 y = 5x + -2 or y = 5x – 2

36. Write the equation in point- slope form (2, 5) and (8, 3)

38. Write the following in slope-intercept form (4, 8) and (3, 9)

40. Write the equation of the following (4, 9) and (12, 9)

41. There is no change in y since both points have a y value of 9. Therefore the slope of the line is 0. Therefore, your equation is simply y = 9

42. Find the solution of the two equations y = 5x y = x + 8

43. y = 5xPlug in and get y y = x + 8y = 5(2) y = 10 5x = x + 8 4x = 8(2, 10) x = 2

44. Find the solution of the two equations y = -3x y = x - 12

45. y = -3xPlug in and get y y = x – 12y = -3(-3) y = 9 -3x = x – 12 -4x = 12(-3, 9) x = -3

46. Find the solution of the two equations y = 2x + 3 y = 2x - 9

47. Since the slopes of both equation are equal, they will never intersect. Therefore, there is no solution.

48. Find the solution of the two equations 2x + 2y = 8 y = -x + 4

49. Solve the top equation for y and get y = -x + 4. Since they are the same equation, the solutions are infinite!

50. Find the solutions of the two equations y = 3x + 2 y = 5x - 6

51. y = 3x + 2Plug in and get y y = 5x – 6 y = 5(4) – 6 y = 20 – 6 5x – 6 = 3x + 2y = 14 2x – 6 = 2(4, 14) 2x = 8 x = 4