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Exercises.

  1. Algebraic Products.
  1.1 Monome with a polynome.
  1.2 Binome with a binome.
  1.3 Two similar binomials to form a trinome.
  1.4 Square of a binomial.
  1.5 Difference of two squares.
  1.6 The product of a binomial and a trinomial.
  1.7 Sum and difference of two cubes.
     
  2. Algebraic Factors.
  2.1 Common factor.
  2.2 Grouping to find a common factor.
  2.3 Factorising a trinomial.
  2.4 Factorising a perfect square.
  2.5 Factorising the difference of two squares.
     
  3. Number patterns.
  3.1 Linear number patterns.
     
  4. Equations and their solution.
  4.1 Linear equations.
  4.2 Linear equations containing fractions.
  4.3 Linear equations containing letter coefficients and brackets.
  4.4 Simultaneous equations.
     
  5. Functions and their graphs.
  5.1 Linear functions, straight line graphs.
  5.2 The Parabola.
  5.3 The Hiperbola.
  5.4 The graph of the exponential function.
  5.5 The graphs of the trigonometrical functions.
     
  6. Trigonometry.
  6.1 Definitions of trigonometric functions.
  6.2 Calculations using a pocket calculator.
  6.3 Calculations using special angles.
  6.4 Trigonometrical applications.
     
     
  7. Finance.
  7.1 Interest, compound growth, inflation.
     
  8. Analytical geometry.
  8.1 Length and Midpoints.
  8.2 Gradients, parallel lines, perpendicular lines.
  8.3 Equations of lines.
  8.4 Applications.
     
  9. Statistics.
  9.1 Statistics.
     
  10. Probability.
  10.1 Probability.
     
  11. Total surface area and volume of real prisms.
  11.1 Total surface area and volume.
     
  12. Geometry.
  12.1 Lines and angles.
  12.2 Triangles and angles.
  12.3 Triangles and parallel lines.
  12.4 Theorem of Pythagoras.
  

Answers to the exercises.

If you do not get the same answers as these,
   1. rework your answer to check yourself.
   2. make sure that your method of calculation is correct.
   3. do you undestand the problem and the method? - consult my notes or any other text book about the subject.
If you still differ, email or fax us the problem and your complete answer so that we can compare answers.
     
  1. Algebraic Products.
  1.1 Monome with a polynome.
  1.2 Binome with a binome.
  1.3 Two similar binomials to form a trinome.
  1.4 Square of a binomial.
  1.5 Difference of two squares.
  1.6 The product of a binomial and a trinomial.
  1.7 Sum and difference of two cubes.
     
  2. Algebraic Factors.
  2.1 Common factor.
  2.2 Grouping to find a common factor.
  2.3 Factorising a trinomial.
  2.4 Factorising a perfect square.
  2.5 Factorising the difference of two squares.
     
  3. Number patterns.
  3.1 Linear number patterns.
     
  4. Equations and their solution.
  4.1 Linear equations.
  4.2 Linear equations containing fractions.
  4.3 Linear equations containing letter coefficients and brackets.
  4.4 Simultaneous equations.
     
  5. Functions and their graphs.
  5.1 Linear functions, straight line graphs.
  5.2 The Parabola.
  5.4 The graph of the exponential function.
  5.5 The graphs of the trigonometrical functions.
     
     
     
     
  8. Analytical geometry.
  8.1 Length and Midpoints.
  8.2 Gradients, parallel lines, perpendicular lines.
  8.3 Equations of lines.
  8.4 Applications.
     
  
     
  
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