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Maths (school) · Part 03

Equations and formulae

Solving equations, inequalities and quadratics, and rearranging formulae.

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  1. Solving linear equationsFinding the value of the unknown letter by doing the same thing to both sides until the letter is alone.
  2. Unknowns on both sidesWhen the letter appears on both sides, first move the letter terms to one side, then solve as normal.
  3. Changing the subjectRearranging a formula so a different letter stands on its own on one side.
  4. InequalitiesStatements using <, >, or the signs for 'less than or equal' and 'more than or equal' that show a range of possible values.
  5. Simultaneous equationsTwo equations with two unknowns that are both true at once. You find the pair of values that fits both.
  6. Solving quadratics by factorisingWriting the quadratic as two brackets equal to zero, then setting each bracket to zero to find the solutions.
  7. The quadratic formulaA formula that solves any quadratic ax^2 + bx + c = 0, even when it does not factorise easily.
  8. Forming equationsTurning a worded problem into an equation by letting a letter stand for the unknown.