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Notes to remember for Alg1H Final Exam
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Example: A ={a,b,c}
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An example would be {1,3,5,7} from {2x+1|x element of R} 
 
Cardinality of N,W,Z, and Q are all aleph null, the basic level of infinity
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Unit Two : Mathematical Systems 
A group must be  
Closed: No other numbers than the ones provided
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Inverse: There is at least one identity element (e) in each row
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Unit Four : Functions 
A function has an input and output
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This also applies to wind & water
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Unit 6 : Exponents 
When solving for exponent value X, convert the bases to the same before removing
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When it comes down to a fractional exponent, the denominator is always the root, the numerator is the exponent
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Unit 7 : Polynomials 
There are monomials,binomials, trinomials, and more
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Terms have degrees but constants do not
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Reference Sheet for Dividing Polynomials
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Arithmetic is addition 
between terms while Geometric is multiplication between terms
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[ A (sub) n = a(sub)1 x r^(n-1) ] for Geometric sequences
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Other notes 
Always remember to add your small number base of root when it comes to bases and radicals
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This will be used in bases and in radicals
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