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Algebraic Expressions and Terms

Learn how to solve linear equations, manipulate terms, simplify fractions, solve simultaneous equations, change formula subjects, solve quadratic equations, and factorize expressions.

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Algebraic Expressions and Terms

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  1. Algebraic Expressions and Terms

  2. Solving linear equations An equation is a statement that shows that two things are equal To solve an equation you have to find the value of the unknown which makes the statement true

  3. Solving linear equations Solve When a term is moved from one side of equation to the other, the sign of the term is changed

  4. Solving linear equations Solve When a term is moved from one side of equation to the other, the sign of the term is changed

  5. Solving linear equations Solve Move all the unknowns to the left hand side and all the numbers to the right hand side.

  6. Solving linear equations Solve When a term is moved from one side of equation to the other, the sign of the term is changed

  7. Solving linear equations Solve you can simplify an equation with a single fraction on each side by 'cross-multiplying ' .

  8. Solving linear equations Solve you can simplify an equation with a single fraction on each side by 'cross-multiplying ' .

  9. Solving Simultaneous equations Elimination method The elimination method involves adding or subtracting the equations (or multiples of them) to eliminate one of the variables.

  10. Solving Simultaneous equations Solve these simultaneous equations. 3x + 2y = 19 ---- ×1 x+ 2y =13 ---- ×3

  11. Solving Simultaneous equations Solve these simultaneous equations. 4x + 3y = 1 ---- ×2 2x – 3y = 14 ---- ×4

  12. Changing the subject of a formula Rearrange the formula y = to make mthe subject.

  13. Changing the subject of a formula Rearrange the formula to make ythe subject.

  14. Quadratic equation A quadratic equation in the variable x is an equation of the form where a, b, c are real numbers, a ≠ 0

  15. Quadratic equation Solve the equation In this case a=2 , b = - 3 , c = - 4

  16. Factorization When the terms of an expression have a common factor, you can simplify the expression by factorization. This is the reverse of multiplication.

  17. Factorization Factorize ab + ac ab + ac a × b + a × c a ( b + c) Expand the terms Find the common factors Write the common factor in front of the bracket and the other factors inside the bracket

  18. Factorization Factorize 3m – 15n 3m - 15 n 3 × m - 3 × 5 × n 3 ( m – 5n) Expand the terms Find the common factors Write the common factor in front of the bracket and the other factors inside the bracket

  19. Factorization Expand the terms Find the common factors Write the common factor in front of the bracket and the other factors inside the bracket

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