silemus.
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  1. 1Solving 4x−7=2x+9
  2. 2Linear cost equation
  3. 3System of two equations
  4. 6Weight limit word problem
  5. 7Solving a linear inequality
  6. 8Rate of change, cost per hour
  7. 9Finding slope then extending line
  8. 10Percent increase then decrease
  9. 11Percent: part is 18% of what
  10. 12Ratio split of 66 members
  11. 13Converting mph to ft/s
  12. 14Printer rate word problem
  13. 16Fraction from a table
  14. 17Mean shift, finding new value
  15. 19Factoring a quadratic
  16. 20Sum of roots, quadratic
  17. 21Vertex form of a parabola
  18. 24Percent growth rate, 1.03^t
  19. 26Exponential growth, doubling
  20. 27Evaluating f(−2)
  21. 28Finding a, then g(-2)
  22. 30Shifting a graph f(x−3)+1
  23. 31Circle by completing the square
  24. 34Complementary angles in a triangle
  25. 35Tangent in a right triangle
  26. 36Isosceles right triangle area
  27. 38Volume of a cylinder
  28. 39Volume of a sphere
  29. 40Scaling a box's volume
  30. 41Supplementary angles equation
  31. 42Setting up a cost equation
  32. 43Slope between two points
  33. 44x-intercept of a line
  34. 45Slope of perpendicular line
  35. 46Solving a linear system
  36. 48Solving a fraction equation
  37. 49Solving 7-3x>2x-18
  38. 50Height when planted, w=0
  39. 53Intersecting lines, find k
  40. 54System of two equations
  41. 57Product of roots
  42. 58Matching exponent bases
  43. 60Equation with same denominator
  44. 61Vertex of a parabola
  45. 63Exponential decay, halving
  46. 65Solving f(a)=21 for a quadratic
  47. 68Exponential growth, V=2500(1.04)^t
  48. 69Composing g(x)=f(x+2)-3
  49. 71Price per ounce comparison
  50. 72Percent increase
  51. 76Map scale ratio problem
  52. 77Converting rate units
  53. 78Line of best fit
  54. 79Median of a data set
  55. 80Scaling up a sample
  56. 83Ratio of flour to sugar
  57. 84Two successive percent decreases
  58. 87Triangle angle sum
  59. 88Ladder as right triangle
  60. 89Area of a trapezoid
  61. 9030-60-90 triangle sides
  62. 91Area of a circle sector
  63. 94Volume of a cone
  64. 95Cube volume to surface area
  65. 99Same-side interior angles

76Map scale ratio problem

On a map, 1.5 inches represents 20 miles. Two towns are 6.3 inches apart on the map. How many miles apart are the towns?

The towns are 84 miles apart. Setting up the ratio 1.5/20 = 6.3/x and cross-multiplying gives 1.5x = 126, so x = 84; both ratios reduce to about 13.33, confirming it.

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