Chapter one (Alg 2) Flashcards

1
Q

Rational numbers

A

can be written as the ratios of integers, can be written as decimals that terminate or repeat

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2
Q

irrational numbers

A

cannot be written as the ratios of integers, cannot be written as decimals that terminate or repeat

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3
Q

Graph

A

point on a number line that corresponds to a real number

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4
Q

Coordinate

A

number that corresponds to a point on a number line

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5
Q

Opposite or additive inverse

A

The opposite of any number a is -a

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6
Q

Reciprocal or multiplicative inverse

A

any nonzero number a is 1/a.

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7
Q

Properties of Addition and Multiplication (Addition)

A
Commutative a + b = b +a
Associative (a+b) + c = a + (b +c)
Identity a + 0 = a , 0 + a = a
Inverse a + (-a) = 0
{}
Subtraction is defined as adding the opposite
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8
Q

Properties of Addition and Multiplication (Multiplication)

A
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
{}
Division is defined as multiplying by the reciprocal.
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9
Q

Exponent

A

tells the base the number of times the base is used as a factor.

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10
Q

Power

A

Consists of the Base and the exponent

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11
Q

Base

A

What is being factored

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12
Q

Numerical Expression

A

Consists of numbers, operation, and grouping symbols

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13
Q

Variable

A

a letter that is used to represent one or more numbers.

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14
Q

Algebraic expression

A

An a expression involving a variable

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15
Q

Terms

A

the parts that are added together (which can be found in between numbers)

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16
Q

Coefficient

A

the number with the term that has a variable

17
Q

Like terms

A

Values that have the same variable with matching exponents

18
Q

Constant terms

A

values that are defined

19
Q

Equation

A

a statement in which two expressions are equal

20
Q

Linear Equation (in one variable)

A

a equation that can be written in the form ax = b where a and b are constants and a DNE 0

21
Q

Mean, or average

A

the sum of the numbers divided by n, which is the amount of numbers

22
Q

Median

A

The middle number in the n amount of numbers, if n is even, its the average of the numbers

23
Q

Mode

A

in the amount of n numbers its the number that occur most frequently, there can be one, no mode, or more than one mode.

24
Q

Range

A

the difference between the greatest and the least data values

25
Box and whisker plot ; lower quartile ; upper quartile
Statistical graph; median of the lower half; median of the upper half {} 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
26
Histogram
a special type of bar graph
27
Intervals
data values in a histogram are grouped in these
28
Frequency
the number of data values in each interval
29
Frequency distribution
shows how many times the numbers in each interval occur in the data