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Maths Revision. - Coggle Diagram
Maths Revision.
Multiplying terms
2a x 4a = 8a²
2 x 4a = 8a
Linear and non-linear patterns.
Linear have 1 difference that stays the same
Quadratic have a 2nd difference
collecting like terms
2+2+3y-4y = -x+4
Multiplying terms
2(3+2a) = 6+4a
Multiplying double brackets
(2+2a)(1+3) = 2+6+2a+6a = 8+8a
solve linear equations
2a = 10 .... a = 5
Solve simultaneous equations with the same coefficients
x=1 y=2 3xy2y=7 = true 4x+2y=7 = false
Solve worded simultaneous equations
If two apples and two oranges cost 76c and five apples and two oranges cost 121c solve both equations together to get cost of a and o
Factorise Quadratic trinomials
Guide number, coefficients of AxC = gn, gn makes b from two factors of itself.
General term of a linear sequence
tn = a+d(n-1)
General term of quadratic sequence
Tn = a(n)²+b(n)+c
Solving quadratic trinomials
When a trinomial = 0 factorise fully. Then if for example x - 3 = 0, x=3
solving difference of 2 squares
if (x-3)(x+3) then x=3, x=-3
forming quadratic equations
if x=3 and x=-4 then work backwards from solving equations
Quadratic formula
(-b+-√(b)²-4(a)(c)) divided by 2(a)
time=distance divided by speed. distance= time x speed. speed= distance divided by time.
HCF between 4 and 6 = 2 4 divided by 2 = 2, 6 divided by 2 = 3
sx + tx + ty + sy = x(s+t)+y(s+t) = (s+t)(x+y)
x²+9 = (x)² + (3)²