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Function Junction & Equation Station

Dive into the world of functions and equations with interactive activities and explanations. Learn about parallel, perpendicular, or neither lines, and master FOIL frenzy. Test your slant with What's Your Slant? and discover the set of all inputs of a function.

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Function Junction & Equation Station

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  1. Function Junction & Equation Station FOIL Frenzy What's Your Slant? Parallel, Perpendicular, Or Neither L I N E S 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt

  2. The set of all inputs of a function

  3. What is domain?

  4. This is used to determine whether a graph represents a function.

  5. What is the vertical line test?

  6. The definition of a function

  7. What is a mathematical relationship in which each input has only one output?

  8. The solution of 55x – 3(9x + 12) = -64

  9. What is x = -1?

  10. The solution of 1/3(27x + 18) = 12 + 6(x - 4)‏

  11. What is x = -6?

  12. (x + 3) (x + 5)

  13. What is x2 + 8x + 15?

  14. (a + 4)2

  15. What is a2 + 8a + 16?

  16. The factored form of x2 + 5x + 6

  17. What is (x+2)(x+3)?

  18. The factored form of y2 + 12y + 32

  19. What is (y + 4)(y + 8)?

  20. (3x2 + 4)(-2x – 5)

  21. What is -6x3 – 15x2 – 8x – 20?

  22. The slope of the line passing through (-2, 5) and (4, -7)‏

  23. What is m = -2?

  24. The sign (+ or -) of a line's slope that passes through only the 2nd and 4th quadrants.

  25. What is negative?

  26. The slope of the line x = -4

  27. What is undefined slope?

  28. The x and y-intercepts of -13x – y = -65

  29. What are x = 5 and y = 65?

  30. The slope intercept form of the equation 3x – 4y = 20

  31. What is y = 3/4x - 5?

  32. y = 2x – 5 and y = 2x – (-7)

  33. What are parallel?

  34. y = 3x – 1 and y = 4 – 1/3x

  35. What are perpendicular?

  36. 4x – 3y = 12 and y = -4/3x - 10

  37. What are neither?

  38. y = 4 and x = -7

  39. What are perpendicular?

  40. 1/2x – y = -5 -2x + y = 0

  41. What are neither?

  42. The slope-intercept form of the line that has a slope of 2 and passes through (2, -3)‏

  43. What is y = 2x - 7?

  44. The slope-intercept form of the line that passes through (1, 1) and (7, 4)‏

  45. What is y = 1/2x + 1/2?

  46. The slopes of two perpendicular lines.

  47. What are opposite reciprocals?

  48. The equation of a line that passes through (0,2) and is perpendicular to y = -4x + 6

  49. What is y = 1/4x + 2?

  50. The equation of the line that passes through (3.5, 4) and (-5, -4.5)‏

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