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
Q

Box and whisker plot ; lower quartile ; upper quartile

A

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
Q

Histogram

A

a special type of bar graph

27
Q

Intervals

A

data values in a histogram are grouped in these

28
Q

Frequency

A

the number of data values in each interval

29
Q

Frequency distribution

A

shows how many times the numbers in each interval occur in the data