19927858
Description
Mind Map by Adam Pilcher, updated more than 1 year ago
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Created by Adam Pilcher
about 5 years ago
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Section Two - Algebra
- Basics
- Negative Numbers
- + + makes +
- + - makes -
- - + makes _
- - - makes +
- - - 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)
- p(q-r)3 = p x (q-r) x (q-r) x (q-r)
- (gn)2 = g x g x n x n
- gn2 = g x n x n
- abc = a x b x c
- Negative Numbers
- 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
- Fractions - Apply the power to
the top and bottom
- 1 to any power is still 1
- Anything to the power of 0 is 1
- Anything to the power of
1 equals itself
- When raising one power to another, you
multiply them
- When dividing, you subtract the powers
- When multiplying, you add the powers
- 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,
- Two-stage Fractional powers - with powers like 64 5/6, always
split the fraction into a root and power,
- Fractional powers - 1/2 = Square root, 1/3
= Cube root, 1/4 = Fourth root
- Negative powers - turn it upside down (Reciprocal)
- Rules
- Brackets
- Single Brackets
- The number outside the brackets multiplies each
term inside the bracket
- 4a(3b-2c)
- 12ab - 8ac
- 12ab - 8ac
- The number outside the brackets multiplies each
term inside the bracket
- 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
- Last - multiply the second term in each
bracket together
- Inside - multiply the inside terms
- Outside - multiply the outside terms
- First - multiply the first term in each bracket together
- FOIL method
- (2p - 4)(3p + 1) = 6p2 + 2p -12p -4
- 6p2 - 10p -4
- 6p2 - 10p -4
- Multiply everything in the first bracket by
everything in the second bracket
- Triple Brackets
- Multiply the first two brackets
- Then multiply the product by the third bracket
- Then multiply the product by the third bracket
- Multiply the first two brackets
- Single Brackets
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