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Mathematics & Statistic Tutor Perth - SPSS Help   

Tutorial  Topic One            Basic Number Rules (-3 - 7) and (-4) x (-5),    BIDMAS 2³ +7/3 -(4 ^-2 - 8),
                                                    Fractions a/b + c/d adding and a/b / c/d dividing

Tutorial Topic Two               Solving and rearranging equations 4x +5 =20,  (s+1)/(s³-2) = (s+4)/(s⁴-12)
                                                 Multiplying Brackets out (4c² ( (5c+7) (c+1) ) )         

Tutorial Topic Three           Solving Inequalities 3x +8 > 21 and  absolute values 3│4x + 7 │≥ 99

Tutorial  Topic Four             Finding the equation of Straight lines,using two points, and point/intercept
                                                 and gradient, perpendicular  m₁ m₂ = - 1 and  parallel lines m₁ = m₂
                                                 Linear Equations y = m x +c Simultaneous Equations 3y +4 =15 and 2y- x=5
                                                 solve for x  and y 

Tutorial Topic Five               Indices, powers (m² n^-2 /z n^-4 m⁷ )⁴, solving square root problems ie Ö126,
                                                 rationalising ‘opposite sign one’

Tutorial Topic Five extra     Cancelling Indices in detail

Tutorial Topic Six                 Factorising quadratics, ax² + bx + c, common factors for two or  four terms
                                                 3x³ +9x, and  40ab -2b + 20ac  - c
Tutorial Topic Seven            Cancelling (s+2)/(s²-6s -16) and solving (adding /subtracting) algebraic
                                                 fractions with  different factorising techniques
                                                 (s+1)/(s²-6s -16) + (s+4)/(s²-16) = 1/ s² ,
                                                 Difference of two squares a²  – b²
                                                                         Sum / difference of two cubed numbers  a³  ±   b³
Tutorial Topic Nine              Completing the square to find roots  (x  ± p )² + q = 0,

                                                 Quadratic formula to find roots    - b ±  Ö b²- 4 a c   = 0
                                                                                                                            2 a
                                                 Root form of quadratic   (s+1) (s - 6),  roots are s= -1 or s = 6
                                                 Turning point form of quadratic (x  - p )² + q, turning point co-ords are (p,q),
                                                 Y intercept form of quadratic ax² + bx + c,  crosses y axis at c

Tutorial Topic Ten                Solving logarithms, log₈ 64   and powers 3 ^x = 81   Log Rules

Tutorial Topic Ten Extra    Questions with growth/decay of form N(t) =N(0)e ^kt

Tutorial Topic Eleven           Solving equations with logarithms 2 log x  +4 log y into one log
                                                 and  powers  3^x + 3^x+1   = 81

Tutorial Topic Twelve          Basic Differentiation  3x ,  x^{-1/2   3}Öx⁴  and finding the equation of a tangent                                                   line to a curve
Tutorial Topic Thirteen       Integration Basic  x ^(power+1) / (power +1)
                                                 and Substitution where u = then ∫ u’s du

Tutorial Topic  Fourteen      Area enclosed by curve and x-axis ,  Area between two curves

Tutorial Topic Fifteen          Trigonometric equations Sin x = 0.5,  2 Sin 3x = 1 and equations  e^(2y-7) =7