Algebra II Honors Review (Properties of Real Numbers)
Review of WAY BACK at like the begining of the year, good for mid-terms
Terms
undefined, object
copy deck
- Irrational Numbers
- Their decimal representations neither terminate nor repeat
- Rational Numbers
- All other __________can be written as repeating decimals
- Term
- 3x and the y are two different _______ from 3x+y
- Term
- a number, a variable, or the product of a number and one or more varialbes
- Identity(Multiplication)
- a*1=a, 1*a=a
- Addition Property
- If a=b, then a+c=b+c
- Inverse(Addition)
- a+(-a)=0
- Coefficient
- the 3 in 3x+y
- Multiplication Property
- If a=b, then ac= bc
- Sample Space
- the set of all possible outcomes
- Subtraction Property
- If a=b, then a-c=b-c
- Identity(Addition)
- a+0=a, 0+a=a
- Symmetric Property
- If a=b, then b=a
- Closure (Addition)
- a+b is a real number
- Domain
- of a relation is the set of all inputs or x-coordinates of the ordered pairs
- Inverse(Multiplication)
- a*1/a=1, a (cannot equal) 0
- Integers
- are the natural numbers, their opposites, and zero(0)
- Multiplicative Inverse
- (of any nonzero number) a is 1/a
- Extraneous Solution
- a solution of an equation derived from an origional equation that is not a solution of the original equation
- Rational Numbers
- some ________can be written as terminating decimals
- Mapping Diagram
- Domain on the left, Range on the right. There can be many outputs but two or more inputs cannot share an output
- Mapping Diagram
- links elements of the domain with cooresponding elements of the range
- Irrational Numbers
- are numbers that cannot be written as quotients of integers
- Distributive
- a(b+c)=ab+ac
- Range
- of a relation is the set of all outputs, or y-coordinates of the ordered pairs
- Reflexive Property
- a=a
- Associative(Addition)
- (a+b)+c=a+(b+c)
- Compound Inequality
- a pair of inequalities joined by and or or
- Substitution Property
- If a=b, then b may be substituted for a in any expression to obtain an equivalent expression
- Rational Numbers
- all the numbers that can be written as quotients of integers. (must have a nonzero denominator)
- Whole Numbers
- are the natural numbers and zero(0)
- Theoretical Probability
- p=event occuring/any possible outcomes
- Commutative (Multiplication)
- a*b=b*a
- Coefficient
- the numerical factor of a term
- Transitive Property
- If a=b and b=c, then a=c
- Natural Numbers
- are numbers used for counting
- Closure (Multiplication)
- a*b is a real number
- Associative(Multiplication)
- (ab)c=a(bc)
- Function Notation
- f(x) is read as "f of x" NOT "f times x"
- Commutative (Addition)
- a+b=b+a
- Division Property
- If a=b and c(does not equal zero), then a/c=b/c
- Irrational Number
- If a positive __________is not a perfect square such as 25 or 4/9, then its square root is irrational
- Experimental Probability
- of an event=number of times the event occurs divided by the number of trials
- Relation
- a set of pairs of imput and output values
- Tolerance
- equals one half of the difference between the maximum and the minimum values