Chapter one (Alg 2) Flashcards
Rational numbers
can be written as the ratios of integers, can be written as decimals that terminate or repeat
irrational numbers
cannot be written as the ratios of integers, cannot be written as decimals that terminate or repeat
Graph
point on a number line that corresponds to a real number
Coordinate
number that corresponds to a point on a number line
Opposite or additive inverse
The opposite of any number a is -a
Reciprocal or multiplicative inverse
any nonzero number a is 1/a.
Properties of Addition and Multiplication (Addition)
Commutative a + b = b +a
Associative (a+b) + c = a + (b +c)
Identity a + 0 = a , 0 + a = a
Inverse a + (-a) = 0
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Subtraction is defined as adding the oppositeProperties of Addition and Multiplication (Multiplication)
Commutative ab = ba
Associative (ab) c = a (bc)
Identity a * 1 = a , 1 * a = a
Inverse a * 1/a = a , a does not equal 0
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Division is defined as multiplying by the reciprocal.Exponent
tells the base the number of times the base is used as a factor.
Power
Consists of the Base and the exponent
Base
What is being factored
Numerical Expression
Consists of numbers, operation, and grouping symbols
Variable
a letter that is used to represent one or more numbers.
Algebraic expression
An a expression involving a variable
Terms
the parts that are added together (which can be found in between numbers)
Coefficient
the number with the term that has a variable
Like terms
Values that have the same variable with matching exponents
Constant terms
values that are defined
Equation
a statement in which two expressions are equal
Linear Equation (in one variable)
a equation that can be written in the form ax = b where a and b are constants and a DNE 0
Mean, or average
the sum of the numbers divided by n, which is the amount of numbers
Median
The middle number in the n amount of numbers, if n is even, its the average of the numbers
Mode
in the amount of n numbers its the number that occur most frequently, there can be one, no mode, or more than one mode.
Range
the difference between the greatest and the least data values
Box and whisker plot ; lower quartile ; upper quartile
Statistical graph; median of the lower half; median of the upper half
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order data from least to greatest
find the minimum and maximum values, the median, and the lower and upper quartiles
plot the five numbers below a number line
draw the box, the whiskers , and a line segment through the median
Histogram
a special type of bar graph
Intervals
data values in a histogram are grouped in these
Frequency
the number of data values in each interval
Frequency distribution
shows how many times the numbers in each interval occur in the data
