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Maths Gcse Wjec-Eduqas Higher

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  1. Scatter-Graphs-And-Correlation Wjec-Eduqas Higher
    2 主题
  2. Cumulative-Frequency-And-Box-Plots Wjec-Eduqas Higher
    4 主题
  3. Histograms Wjec-Eduqas Higher
    3 主题
  4. Statistical-Diagrams- Wjec-Eduqas Higher
    6 主题
  5. Averages-Ranges-And-Data Wjec-Eduqas Higher
    8 主题
  6. Combined-And-Conditional-Probability Wjec-Eduqas Higher
    3 主题
  7. Tree-Diagrams- Wjec-Eduqas Higher
    1 主题
  8. Simple-Probability-Diagrams- Wjec-Eduqas Higher
    3 主题
  9. Introduction-To-Probability Wjec-Eduqas Higher
    3 主题
  10. Transformations Wjec-Eduqas Higher
    5 主题
  11. Vectors Wjec-Eduqas Higher
    6 主题
  12. 3D-Pythagoras-And-Trigonometry Wjec-Eduqas Higher
    1 主题
  13. Sine-Cosine-Rule-And-Area-Of-Triangles- Wjec-Eduqas Higher
    4 主题
  14. Pythagoras-And-Trigonometry Wjec-Eduqas Higher
    4 主题
  15. Area-And-Volume-Of-Similar-Shapes Wjec-Eduqas Higher
    1 主题
  16. Congruence-Similarity-And-Geometrical-Proof Wjec-Eduqas Higher
    5 主题
  17. Volume-And-Surface-Area- Wjec-Eduqas Higher
    3 主题
  18. Circles-Arcs-And-Sectors- Wjec-Eduqas Higher
    2 主题
  19. Area-And-Perimeter- Wjec-Eduqas Higher
    4 主题
  20. Circle-Theorems Wjec-Eduqas Higher
    7 主题
  21. Bearings-Scale-Drawing-Constructions-And-Loci Wjec-Eduqas Higher
    5 主题
  22. Angles-In-Polygons-And-Parallel-Lines Wjec-Eduqas Higher
    3 主题
  23. Symmetry-And-Shapes Wjec-Eduqas Higher
    6 主题
  24. Exchange-Rates-And-Best-Buys Wjec-Eduqas Higher
    2 主题
  25. Standard-And-Compound-Units- Wjec-Eduqas Higher
    5 主题
  26. Direct-And-Inverse-Proportion- Wjec-Eduqas Higher
    2 主题
  27. Problem-Solving-With-Ratios Wjec-Eduqas Higher
    2 主题
  28. Ratios Wjec-Eduqas Higher
    3 主题
  29. Sequences Wjec-Eduqas Higher
    4 主题
  30. Transformations-Of-Graphs- Wjec-Eduqas Higher
    2 主题
  31. Graphing-Inequalities- Wjec-Eduqas Higher
    2 主题
  32. Solving-Inequalities- Wjec-Eduqas Higher
    2 主题
  33. Real-Life-Graphs Wjec-Eduqas Higher
    4 主题
  34. Estimating-Gradients-And-Areas-Under-Graphs Wjec-Eduqas Higher
    2 主题
  35. Equation-Of-A-Circle- Wjec-Eduqas Higher
    2 主题
  36. Graphs-Of-Functions Wjec-Eduqas Higher
    6 主题
  37. Linear-Graphs Wjec-Eduqas Higher
    4 主题
  38. Quadratic-Equations Wjec-Eduqas Higher
    4 主题
  39. Linear-Equations- Wjec-Eduqas Higher
    1 主题
  40. Algebraic-Proof Wjec-Eduqas Higher
    1 主题
  41. Rearranging-Formulae Wjec-Eduqas Higher
    2 主题
  42. Coordinate-Geometry- Wjec-Eduqas Higher
    4 主题
  43. Functions Wjec-Eduqas Higher
    3 主题
  44. Forming-And-Solving-Equations Wjec-Eduqas Higher
    3 主题
  45. Iteration Wjec-Eduqas Higher
    2 主题
  46. Simultaneous-Equations Wjec-Eduqas Higher
    2 主题
  47. Algebraic-Fractions- Wjec-Eduqas Higher
    4 主题
  48. Completing-The-Square Wjec-Eduqas Higher
    1 主题
  49. Factorising Wjec-Eduqas Higher
    6 主题
  50. Expanding-Brackets Wjec-Eduqas Higher
    3 主题
  51. Algebraic-Roots-And-Indices Wjec-Eduqas Higher
    1 主题
  52. Introduction-To-Algebra Wjec-Eduqas Higher
    4 主题
  53. Using-A-Calculator Wjec-Eduqas Higher
    1 主题
  54. Surds Wjec-Eduqas Higher
    2 主题
  55. Rounding-Estimation-And-Bounds Wjec-Eduqas Higher
    2 主题
  56. Fractions-Decimals-And-Percentages Wjec-Eduqas Higher
    3 主题
  57. Simple-And-Compound-Interest-Growth-And-Decay Wjec-Eduqas Higher
    4 主题
  58. Percentages Wjec-Eduqas Higher
    3 主题
  59. Fractions Wjec-Eduqas Higher
    4 主题
  60. Powers-Roots-And-Standard-Form Wjec-Eduqas Higher
    4 主题
  61. Prime-Factors-Hcf-And-Lcm- Wjec-Eduqas Higher
    4 主题
  62. Number-Operations Wjec-Eduqas Higher
    10 主题
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Exam code:C300

Solving equations using graphs

How do I find the coordinates of points of intersection?

  • Plot two graphs on the same set of axes

    • The points of intersection are where the two lines meet

  • For example, plot y = x2 + 3x + 1 and y = 2x + 1 on the same axes

    • They meet twice, as shown

    • The coordinates of intersection are (-1, -1) and (0, 1)

Points of intersection between a curve and a line

How do I solve simultaneous equations graphically?

  • The x and y solutions to simultaneous equations are the x and y coordinates of the point of intersection

  • For example, to solve 2x – y = 3 and 3x + y = 7 simultaneously

    • Rearrange them into the form y = mx + c

      • y = 2x – 3 and y = -3x + 7

    • Use a table of values to plot each line

    • Find the point of intersection, (2, 1)

    • The solutions are therefore x = 2 and y = 1

Solving simultaneous equations graphically

How do I use graphs to solve equations?

  • This is easiest explained through an example

  • You can use the graph of y equals x squared minus 4 x minus 2 to solve the following equations

    • x squared minus 4 x minus 2 equals 0

      • The solutions are the two x-intercepts

      • This is where the curve cuts the x-axis (also called roots)

    • x squared minus 4 x minus 2 equals 5

      • The solutions are the two x-coordinates where the curve intersects the horizontal line <img alt=”y equals 5″ data-mathml='<math ><semantics><mrow><mi>y</mi><mo>=</mo><mn>5</mn></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“language”:”en”,”fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true}</annotation></semantics></math>’ height=”22″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2222%22%20width%3D%2237%22%20wrs%3Abaseline%3D%2216%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3Ey%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E5%3C%2Fmn%3E%3C%2Fmath%3E–%3

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