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Section Two - Algebra
Descripción
Includes Brackets, powers and roots, and the Basics of Algebra.
Sin etiquetas
algebra
gcse
maths
maths
section two - algebra
gcse
Mapa Mental por
Adam Pilcher
, actualizado hace más de 1 año
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Creado por
Adam Pilcher
hace alrededor de 5 años
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Resumen del Recurso
Section Two - Algebra
Basics
Negative Numbers
+ + makes +
+ - makes -
- + makes _
- - makes +
letters multiplied
abc = a x b x c
gn2 = g x n x n
(gn)2 = g x g x n x n
p(q-r)3 = p x (q-r) x (q-r) x (q-r)
Powers and Roots
Rules
When multiplying, you add the powers
When dividing, you subtract the powers
When raising one power to another, you multiply them
Anything to the power of 1 equals itself
Anything to the power of 0 is 1
1 to any power is still 1
Fractions - Apply the power to the top and bottom
Tricky rules
Negative powers - turn it upside down (Reciprocal)
Fractional powers - 1/2 = Square root, 1/3 = Cube root, 1/4 = Fourth root
Two-stage Fractional powers - with powers like 64 5/6, always split the fraction into a root and power,
Brackets
Single Brackets
The number outside the brackets multiplies each term inside the bracket
4a(3b-2c)
12ab - 8ac
Double Brackets
Multiply everything in the first bracket by everything in the second bracket
FOIL method
First - multiply the first term in each bracket together
Outside - multiply the outside terms
Inside - multiply the inside terms
Last - multiply the second term in each bracket together
(2p - 4)(3p + 1) = 6p2 + 2p -12p -4
6p2 - 10p -4
Triple Brackets
Multiply the first two brackets
Then multiply the product by the third bracket
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