Transcription of Algebra: Expressions, Equations and Inequalities
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MATHEMATICS Grade 12 Page 1 ALGEBRA: EXPRESSIONS, Equations AND Inequalities 30 JUNE 2014 CHECKLIST Make sure Can solve quadratic Equations by: o Factorising o Using the quadratic formula o Using the K-substitution Can analyse the nature of the roots of a quadratic equation. Revise the surds and the laws of exponents Are able to solve Inequalities Can solve simultaneous Equations Mind Map: Quadratic Equations Quadratic Equations 2+ + =0 Factorise Inequalities Determine nature of roots = 2 4 Quadratic formula = ( 2 4 ) 2 Simultaneous Equations MATHEMATICS Grade 12 Page 2 Exam Questions Question 1 Solve for x: (x -3)(x +5) = 9 (4) (x2 2x)2 8 = 7(x2 2x) (5) -1 = (3) Question 2 (Adapted from Feb 2010,Paper 1, Question 1) Solve the following inequality for x.
C {-1, 6] D {-6, 1} Question 3 Solve the quadratic equation xx2 4 1 0. A r45 B r23 C 46 2 r D 1 and -1 Question 4 Which statement best explains why there is no real solution to the quadratic equation = A The value of 12 – 4•2•7 is positive. B The value of 12 – 4•2•7 is equal to 0.
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