Chapter 1 Elementary Algebra
Terms
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 Unlike Terms MULTIPLICATION
 can multiply like and unlike terms
 Natural Numbers
 (counting numbers) {1,2,3,4,...}
 Whole Numbers

(not counting numbers) {0,1,2,3,...}
 Rational Numbers

any number that CAN be written as fractions/quotient
ex: 1/2,7/3 
() + () =
(lose) + (lose) = 
()
(lose alot)  Dividing Fractions

 multiply it by its reciprocal
 reduce (cross division)
 multiply across
ex: flip the second fraction (reciprocal) (2/3)/(4/3)= (2/3)x(3/4)  Irrational Numbers

any number that CAN NOT be written as fractions/quotient
ex: pi, square root of 2  Multiply Fractions

reduce
find common denominator (whatever u do to the bottom, u do to the top)
multiply across  ORDER OF OPERATIONS

Parenthesis
Exponent
Multiplacation
Division
Addition
Subtraction
**from left to right 
(+) + (+) = (+)
(win) + (win) = 
(+)
(win alot) 
(add & subtract real #s)
1. WHEN SIGNS ARE DIFFERENT?
2. WHEN SIGNS ARE SAME 
1. SUBTRACT THEIR ABSOLUTE VALUES (addition of the opposite) ex: ab=a+(b)
2. ADD KEEPING THE SIGN 
(multiply & divide real #s)
1. SAME SIGN?
2. DIFFERNT SIGN? 
1. answer POSITIVE ex: (+)(+)=(+) or ()()=(+)
2. answer NEGATIVE ex: (+)()=() or ()(+)=()  Multiplicative Inverse
 (reciprocal) ex: 2= 1/2, 1/7=7/1=7, 3=1/3
 Absolute Value

distance from zero
ex: 5= 5, 8= 8 
(+) + () =
(win) + (lose) =  **(win or lose) depends on whichever has the larger sign
 0/5 =
 0
 5/0=
 undefined (we may never divide by 0)

1. (4)^2 =
2. 4^2 = 
1.(4)(4)= 16 **(same sign = pos)
2. (4)(4)= 16**(diff.sign = neg) 
Like Terms ADDITION/SUBTRACTION
 can ONLY add or subtract(simplify) like terms
 Integers
 a member of the set of positive whole numbers, negative whole numbers, and zero