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64 Cards in this Set
- Front
- Back
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How do you subtracting integers
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to subtract a number, add its additive inverse, for any numbers a and b,
a-b=a+(-b) |
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What is a domain
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the set of first numbers of the ordered pairs
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What is a function
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a relationship between input and output
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What is a line plot
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numerical data displayed on a number line
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What is a commutative property
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for any numbers a and b,
a + b = b + a and a x b = b x a |
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What is the simplest form
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an expression having no like terms and no parentheses
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What is an equation
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a sentence that contains an equal sign =
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What is a comparison property
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for any two numbers a and b, exactly one of the following sentences is true
ab |
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What is a venn diagrams
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figures used to represent sets of numbers
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What is a coefficient
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the numerical factor (ex. 2b, the coefficient is 2)
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What is a base
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the variable x is the base
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What is a data
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numerical information
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What is a verbal expression
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the translation of an equation in to words (ex. three plus two)
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What is an order of operations
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"please excuse my dear aunt sally", parentheses, exponents, multiply, divide, add, subtract
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What is a product
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the result of the quantities being multiplied (ex. 3 x 2 = 6, 6 is the product)
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What is an algebraic expression
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consists of one or more numbers and variables along with one or more arithmetic operations (ex. x-2)
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What is a variables
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symbols that are used to represent unspecified numbers (ex. x and y are variables)
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What is a factors
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quantities being multiplied
(ex. 3 x 2, 3 and 2 are factors) |
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What is an exponent
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the exponent indicates the number of times the base is used as a factor
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What is a power
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an expression of the form x to the nth is power
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What is a sequence
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a set of numbers in a specific order
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What is associative property
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for any numbers a, b, and c,
(a+b)+c=a+(b=) and (ab)c=a(bc) |
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What is an element
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each object or number in a set
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What are statistics
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methods of collecting, organizing and interpreting data
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What are ordered pairs
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used to locate points on a graph
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What is a relation
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set of ordered pairs
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What is a replacement set
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a set of numbers from which replacements for a variable may be chosen
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What is a stem and leaf plot
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the greatest place value is used to form the stems, the next greatest place value is used to form the leaves
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What is a negative number
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the points to the left of zero on a number line
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What is an origin
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the ordered pair, (0,0)
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What is a open sentences
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mathematical statements with one or more variables or unknown numbers
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What is a range
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the set of second numbers of the ordered pairs
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How do you evaluate
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means to find the value
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What is an additive inverse property
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for every number a,
a=(-a)=0 |
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What is a solution
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the replacement to solve an open sentence
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What is solving the open sentence
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finding a replacement for the variable that results in a true sentence
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What is an integers
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a set of numbers
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What is a multiplicative property of zero
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for any number a,
a x 0 = 0 |
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What is a set
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a collection of objects or numbers
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How do you compare numbers on the number line
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if a and b represent any numbers and the graph of a is to the left of the graph of b, then ab
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What is inequality
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a sentence having the sign < or >
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What is a solution set
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the set of all replacements for the variable that make the sentence true
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What is a multiplicative identity property
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for any number a,
a x 1 = 1 x a |
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What is a coordinate
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the number that corresponds to a point on a number line
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What is a graph
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to draw, or plot the points named
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What is an additive identity property
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for any number a,
a+0=0+a |
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What is a terms
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the numbers in the sequence
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What is a rational number
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a number that can be expressed in the form a/b, where a and b are integers and b is not eqal to 0
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What is a matrix
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a rectangular arrangement of elements in rows and columns
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What is a reflexive property of equality
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for any number a.
a=a |
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What is a symmetric property of equality
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for any numbers a and b,
if a = b, then b = a |
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What is a multiplicative inverse property
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for every nonzero number a/b, where a,b does not = 0, there is exactly one number b/a, such that a/b x b/a =1
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What is a discrete mathematics
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deals with finite or discontinuous quantities
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What is a transitive property of equality
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for any numbers a, b and c,
if a = b and b = c, then a = c |
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What is a comparison property for rational numbers
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for any ration numbers a/b and c/d, with b>0 and d>0,
1. if a/b2. if ad |
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What is a definition of absolute value
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the absolute value of a number is its distance from zero on a number line
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How do you adding integers with the same sign
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add their absolute values, give the result the same sign as the integers
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What is a substitution property of equality
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if a = b, then a may be replaced by b in any expression
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how do you add integers with different signs
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subtract the lesser absolute value from the greater absolute value, give the result of the same sign as the integer with the greater absolute value
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What is a density property for rational numbers
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between every pair of distinct rational numbers, there are infinitely many rational numbers
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What are equivalent expressions
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3x + 8x and 11x are equivalent expressions
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What is distributive property
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for any numbers a, b and c,
a(b+c)=ab+ac and (b+c)a=ba+ca a(b-c)=ab-ac and (b-c)a=ba-ca |
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What is a term
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a number, a variable or a product or quotient of numbers and variables (ex. 9y+3x+2 has three terms)
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What are like terms
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terms that contain the same variables, with corresponding variables having the same power
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