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First-Degree Equations Practice: Random Generation and Instant Feedback

First-Degree Equations Practice: Random Generation and Instant Feedback
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2017-08-20 15:37
FunctionInequalitySlider AnimationGraphing
This GeoGebra example is an interactive worksheet for practicing solving first-degree (linear) equations. It randomly generates equations with different coefficients and uses tables and conditional logic to present problems and answers, helping students master basic techniques such as transposition and combining like terms. The core mathematical concept is algebraic manipulation and solving of linear equations in one variable. In terms of construction, the summary shows the use of LaTeX commands for rendering mathematical formulas, If and Shuffle commands for random problem generation and conditional checks, TableText for creating problem tables, along with multiple variables (a, b, c, d, etc.) and a button object (botón1) to trigger new problems or check answers. This resource is suitable for middle school algebra instruction or self-study, offering dynamic problem generation and immediate feedback to enhance learning.

GeoGebra Commands & Parameters

  1. LaTeX("\frac{x}{2}=7") → C16
  2. If(n ≟ 1, B14, If[n ≟ 2, C14, If[n ≟ 3, D14, ""]]) → A14
  3. If(n ≟ 1, B15, If[n ≟ 2, C15, If[n ≟ 3, D15, ""]]) → A15
  4. If(n ≟ 1, B16, If[n ≟ 2, C16, If[n ≟ 3, D16, ""]]) → A16
  5. If(n ≟ 1, B17, If[n ≟ 2, C17, If[n ≟ 3, D17, ""]]) → A17
  6. LaTeX("\frac{x+1}{4}=3") → C25
  7. LaTeX("\frac{x}{9}+1=3") → C29
  8. If(n ≟ 1, B18, If[n ≟ 2, C18, If[n ≟ 3, D18, ""]]) → A18
  9. LaTeX("\frac{x}{2}=5") → B19
  10. If(n ≟ 1, B19, If[n ≟ 2, C19, If[n ≟ 3, D19, ""]]) → A19
  11. If(n ≟ 1, B20, If[n ≟ 2, C20, If[n ≟ 3, D20, ""]]) → A20
  12. If(n ≟ 1, B21, If[n ≟ 2, C21, If[n ≟ 3, D21, ""]]) → A21
  13. If(n ≟ 1, B22, If[n ≟ 2, C22, If[n ≟ 3, D22, ""]]) → A22
  14. If(n ≟ 1, B23, If[n ≟ 2, C23, If[n ≟ 3, D23, ""]]) → A23
  15. If(n ≟ 1, B24, If[n ≟ 2, C24, If[n ≟ 3, D24, ""]]) → A24
  16. If(n ≟ 1, B25, If[n ≟ 2, C25, If[n ≟ 3, D25, ""]]) → A25
  17. If(n ≟ 1, B26, If[n ≟ 2, C26, If[n ≟ 3, D26, ""]]) → A26
  18. If(n ≟ 1, B27, If[n ≟ 2, C27, If[n ≟ 3, D27, ""]]) → A27
  19. LaTeX("\frac{x-1}{3}=6") → B28
  20. If(n ≟ 1, B28, If[n ≟ 2, C28, If[n ≟ 3, D28, ""]]) → A28
  21. If(n ≟ 1, B29, If[n ≟ 2, C29, If[n ≟ 3, D29, ""]]) → A29
  22. If(n ≟ 1, B30, If[n ≟ 2, C30, If[n ≟ 3, D30, ""]]) → A30
  23. LaTeX("\frac{x}{6}=3") → B31
  24. If(n ≟ 1, B31, If[n ≟ 2, C31, If[n ≟ 3, D31, ""]]) → A31
  25. If(n ≟ 1, B32, If[n ≟ 2, C32, If[n ≟ 3, D32, ""]]) → A32
  26. If(n ≟ 1, B33, If[n ≟ 2, C33, If[n ≟ 3, D33, ""]]) → A33
  27. Shuffle(lista1) → lista2
  28. If(A1 > 0, Element[lista2, 1], "") → B3
  29. If(A1 > 2, Element[lista2, 3], "") → B5
  30. If(A1 > 3, Element[lista2, 4], "") → B6
  31. If(A1 > 4, Element[lista2, 5], "") → B7
  32. If(A1 > 5, Element[lista2, 6], "") → B8
  33. If(A1 > 6, Element[lista2, 7], "") → B9
  34. If(A1 > 7, Element[lista2, 8], "") → B10
  35. If(A1 > 8, Element[lista2, 9], "") → B11
  36. If(A1 > 9, Element[lista2, 10], "") → B12
  37. If(A1 > 1, Element[lista2, 2], "") → B4
  38. If(A1 > 10, Element[lista2, 11], "") → D3
  39. If(A1 > 11, Element[lista2, 12], "") → D4
  40. If(A1 > 12, Element[lista2, 13], "") → D5
  41. If(A1 > 13, Element[lista2, 14], "") → D6
  42. If(A1 > 14, Element[lista2, 15], "") → D7
  43. If(A1 > 15, Element[lista2, 16], "") → D8
  44. If(A1 > 16, Element[lista2, 17], "") → D9
  45. If(A1 > 17, Element[lista2, 18], "") → D10
  46. If(A1 > 18, Element[lista2, 19], "") → D11
  47. If(A1 > 19, Element[lista2, 20], "") → D12
  48. TableText({{A3, B3}, {A4, B4}, {A5, B5}, {A6, B6}, {A7, B7}, {A8, B8}, {A9, B9}, {A10, B10}, {A11, B11}, {A12, B12}}, "|_") → texto1
  49. TableText({{C3, D3}, {C4, D4}, {C5, D5}, {C6, D6}, {C7, D7}, {C8, D8}, {C9, D9}, {C10, D10}, {C11, D11}, {C12, D12}}, "|_") → texto3