7/30/2019 1284Methods Exam Cheat Sheet-2
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Maths Methods Exam Cheat SheetSimultaneous Equations
Substitution methodSubstitute either the x value or y value in
to one of the equations then solve algebraically.
Elimination method
Linear graphsParallel lines
If both gradients are the same, they are parallelPerpendicular
lines
If m1 m2 = -1 then it is perpendicularFinding equation of
straight line
21Work out gradient 21 then substitute it into the equation
along with the x and y values given to work out cTangent of angle
of slope
Angle = tan-1 m Basically multiply the gradient by inverse tan.
If the angle is negative add it to 180 degrees.Distance between two
pointsAB=x x y yMidpoint
( x =
, y =
)
Angle between intersecting lines Basically find the tangent
angle of slope for both equations and subtract from each
other.Quadratics
Finding Turning PointsThere a two very simple methods to finding
the TPs. The first one is to change the formula into the turning
point form:y = a(x - b)2 + cThe other method is to find the x
intercepts, then to find the x-value of the TP, you add the
x-intercepts together and
halve it. Then to find the y-intercept, substitute the x-value
TP into the equation.DiscriminantIf: *discriminant > 0 = two
solutions (x intercepts)
*discriminant = 0 = 1 solution (x intercepts)*discriminant <
0 = no solutions (x intercepts)
Quadratic formula in dif ferent forms:y = ax2+bx+c < use when
given y-int and a pointy = ax(x-b) < use when given one x-int
and a pointy = (x-a)(x-b) < use when give two x-intsy =
a(x-b)2+c < use when given TPy = ax2+c < use when give a y
and x-int
InequationsIf you divide or multiply negative values across, the
> sign will change to < and vice versaGallery of
graphsHyperbolay =
+ ka represents dilation factorh represents translation in the
x-axis (positive moves left, negative moves right)k represents
translation in the y-axis (positive moves up, negative moves
down)
