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104 Cards in this Set
- Front
- Back
variable
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symbol that represents a number
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algebraic expression
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math phrase that includes numbers, variables, and operations symbols
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equation
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math sentence that shows two expressions are equal
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open sentence
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math equation that has one or more variables
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exponent
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tells how many times a base is multiplied
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base
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the number in a power being multiplied
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power
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base and exponent as one
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order of operation
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PEMDAS
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evaluate
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substituting numbers for variables then simplifying
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natural numbers or counting numbers
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1, 2, 3, 4, etc
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whole numbers
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0, 1, 2, 3, 4 etc
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integers
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. . . -2, -1, 0, 1, 2 . . .
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rational number
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numbers that can be written as fractions and decimals
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irrational number
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number that cannot be written in fraction form
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real numbers
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rational and irrational numbers
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counterexample
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example that proves a statement false
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inequality
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math sentence that uses less than, greater than, etc
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opposites
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numbers that are the same distance from zero in different directions
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absolute value
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a numbers distance from zero
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coordinate plane
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two number lines that intersect at right angles
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x axis
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horizontal line
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y axis
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vertical line
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origin
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point where axes intersect
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quadrants
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four sections of the coordinate plane
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ordered pair
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(x, y)
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midpoint
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halfway between two endpoints
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function
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relationship that assigns exactly one output for each input
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function rule
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equation that describes a relationship
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dependent variable
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y value, output
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independent variable
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x value, input
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domain
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inputs
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range
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outputs
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scatter plot
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graph that relates to sets of data as positive correlates, negative correlates, or no correlate
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positive correlation
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both data values increase
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negative correlation
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one data value increases, one data value decreases
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no correlation
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unrelated data sets
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undefined correlation
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one data set shows no change
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measures of central tendency
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mean, median, mode
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mean
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average
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median
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middle value of data set when organized least to greatest
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mode
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data value that occurs the most often
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range
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difference between greatest value and least value
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outlier
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data value that is too large or too small
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stem and leaf plot
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data table using the digits of the values
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identity property
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8 x 1 = 8
r + 0 = r |
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additive inverse
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the opposite of a number
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inverse property of addition
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-8 + 8 = 0
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matrix
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rectangular arrangement of numbers in rows and columns
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element
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an item value in a matrix
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multiplication property of zero
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h x 0 = 0
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multiplication property of -1
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-1 x r = -r
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multiplicative inverse
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reciprocal
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term
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number, variable, or product of number and variable
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constant
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term that has no variable
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coefficient
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number before a variable
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like terms
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terms with exactly the same variables
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probability
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how likely something is to happen
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outcome
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result of a single trial
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sample space
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all possible outcomes
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event
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any outcome or group of outcomes
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theoretical probability
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number of favorable outcomes divided by number of possible outcomes
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complement of an event
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all outcomes not in the event
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odds
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comparing favorable events to unfavorable events
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experimental probability
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number of times and event occurs divided by number of times the experiment is done
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independent events
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events that do not influence one another
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dependent events
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events that influence each other
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identity
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an equation that is true for every value of the variable
EX. 2x = 2x |
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literal equation
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equation involving two or more variables
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ratio
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comparison of two numbers by division
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rate
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quantities measured in different units
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unit rate
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rate with a denominator of 1
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unit analysis or dimensional analysis
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conversion from one unit of measurement to another
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proportion
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an equation that states two ratios are equal
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extremes of proportion
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values "a" and "d" of ratios
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means of proportion
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values "b" and "c" of ratios
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cross products
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products "ad" and "bc" of ratios
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dilation
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transformation in which a figure and its image are similar (smaller or bigger)
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scale factor
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ratio by which an image is enlarged or reduced
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scale drawing
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enlarged or reduced drawing that is similar to actual
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scale
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ratio of a distance corresponding to the actual distance
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consecutive integers
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integers that differe by 1
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uniform motion
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an object that moves at a constant rate
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percent of change
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ratio of "amount of change" divided by "original amount"
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percent of increase
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value increases from its original amount
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precent of decrease
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value decreases from its original amount
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greatest possible error
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error that is one half of the measuring unit
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percent error
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ratio of "greatest possible error" divided by "measurement"
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principal square root
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positive value
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negative square root
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negative symbol outside of radical symbol
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radicand
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the expression under the radical symbol
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perfect squares
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1, 4, 9, 16, 25, 36, 49 etc
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hypotenuse
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longest side of a right triangle
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leg
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other shorter sides of a right triangle
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pythagorean theorem
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a^2 + b^2 = c^2
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45-45-90 triangle theorem
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hypotenuse = leg times the square root of 2
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30-60-90 triangle theorem
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hypotenuse = 2 times the shorter leg
longer leg = square root of three times shorter leg |
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solution of an inequality
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any number that makes the inequality true
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equivalent inequalities
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inequalities with the same solutions
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compound inequality
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two inequalities joined by the word "and" or "or"
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set
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well defined collection of numbers called elements
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elements
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numbers in a set
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intersection
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set of all numbers that are common to both sets
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null set
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has no elements
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union
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set of all numbers that are in "either" of the sets
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