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IGCSEMathsEdexcelMaths A (Modular)Higher Unit 2FlashcardsAlgebra & SequencesForming & Solving Equations

Forming & Solving Equations (Edexcel IGCSE Maths A (Modular))

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  • FrontForming Equations from Shapes

    If the total perimeter of the regular pentagon below is 100 cm, show how to form an equation.

    A regular pentagon with side length x + 2.

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  • If the total perimeter of the regular pentagon below is 100 cm, show how to form an equation.

    A regular pentagon with side length x + 2.

    The pentagon being regular means the side lengths are all equal.

    If the total perimeter of a regular pentagon with side length open parentheses x plus 2 close parentheses is 100 cm, then:

    1. Find the total perimeter in terms of x by multiplying open parentheses x plus 2 close parentheses by 5

    2. Set this equal to 100

    This forms the equation 5 open parentheses x plus 2 close parentheses equals 100.

  • True or False?

    If the interior angles of an n-sided polygon are given algebraically in terms of x, you can calculate the size of x as the total sum of the angles will always be 180 open parentheses n minus 2 close parentheses.

    True.

    If the interior angles of an n-sided polygon are given algebraically in terms of x, you can calculate the size of x as the total sum of the angles will always be 180 open parentheses n minus 2 close parentheses.

    E.g. for any hexagon (regular or irregular), the sum of its interior angles will always be 180 open parentheses 6 minus 2 close parentheses equals 720 degree.
    So if the interior angles are in terms of x, add them together and set equal to 720 degree.

  • True or False?

    You can use a 'show that' answer from part (a) to do part (b), even if you did not complete part (a) yourself.

    True.

    You can use a 'show that' answer from part (a) to do part (b), even if you did not complete part (a) yourself.

    If part (a) says to show that certain information leads to the equation x squared minus x minus 6 equals 0, then you can use that equation in part (b) without having proved part (a)!

  • Explain the phrase answer the question in context.

    Answer the question in context means that your final answer should

    • be related to the real-life situation in the question

    • be written in sentences

    • use words and phrases from the question

    • state the correct units

    • be rounded appropriately

    The answer should not be, for example:

    • x equals 2 (no explanation)

    • "the length is bigger" (no context)

Previous:Simultaneous EquationsNext:Sequences

    1. Topic 1

      Prime Factors, HCF & LCM

    2. Topic 2

      Standard Form

    3. Topic 3

      Using Percentages

    4. Topic 4

      Compound Interest & Depreciation

    5. Topic 5

      Ratio Toolkit

    6. Topic 6

      Ratio Problem Solving

    7. Topic 7

      Direct & Inverse Proportion

    1. Topic 1

      Rearranging Formulas

    2. Topic 2

      Algebraic Proof

    3. Topic 3

      Solving Inequalities

    4. Topic 4

      Simultaneous Equations

    5. Topic 5

      Forming & Solving Equations

    6. Topic 6

      Sequences

    1. Topic 1

      Functions

    2. Topic 2

      Graphing Inequalities

    3. Topic 3

      Transformations of Graphs

    4. Topic 4

      Differentiation & Gradients

    1. Topic 1

      Angles in Polygons & Parallel Lines

    2. Topic 2

      Bearings, Scale Drawing & Constructions

    3. Topic 3

      Circle Theorems

    4. Topic 4

      Volume & Surface Area

    5. Topic 5

      Similarity & Geometrical Proof

    6. Topic 6

      Area & Volume of Similar Shapes

    1. Topic 1

      Vectors

    2. Topic 2

      Transformations

    1. Topic 1

      Statistics Toolkit

    2. Topic 2

      Cumulative Frequency Diagrams