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25 Cards in this Set
- Front
- Back
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algebraic expression
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an expression consisting of one or more numbers and variables along with one or more arithmetic operations
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consecutive integers
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integers in counting order (one right after the other such as 6, 7, 8)
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difference
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the answer to a subtraction problem
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distributive property
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for any numbers a, b, and c
a(b + c) = ab + ac (b + c)a = ba + ca a(b - c) = ab - ac (b - c)a = ba - ca examples: 3(2 + 5) = (3)(2) + (3)(5) = 21 3(5 - 2) = (3)(5) - (3)(2) = 9 |
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domain
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the set of the first numbers of the ordered pairs in a relation
example: (3,5) (6,2) (8,4) domain is (3,6,8) |
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equation
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a mathematical sentence that contains an equal sign =
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equivalent ratios
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two ratios that are the same when they are in simplest form or whose cross products are the same
example: 4/8 and 6/12 both simplify to 1/2 or cross products equal each other (4)(12) = (8)(6) |
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formula
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an equation that states a rule for the relationship between certain quantities
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identity
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an equation that is true for every value of a variable
example: x + 2 = x + 2 |
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function
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a relation in which element of the domain is paired with exactly one element of the range
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means-extremes property of proportion
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in a proportion, the product of the extremes is equal to the product of the means
if a/b = c/d and b and d do not equal zero then ad = bc example: if 4/8 = 6/12 then (4)(12) = (6)(8) or 48 = 48 |
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order of operations
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rule to let you know which operation to perform first
PEMDAS - please excuse my dear aunt sally parenthesis ( ) exponents/powers multiplication or division from left to right addition or subtraction from left to right |
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percent of change
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when an increase or decrease is expressed as a percent
(difference/original amount)x 100 |
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product
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in an algebraic expression, the result of quantities being multiplied
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proportion
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an equation of the form a/b = c/d and b and d do not equal zero stating that two ratios are equivalent
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quotient
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the answer to a division problem
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range
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the set of the second numbers of the ordered pairs in a relation
example: (3,5) (6,2) (8,4) range is (5,2,4) |
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ratio
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a comparison of two numbers by division
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reciprocal
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the multiplicative inverse of a number
examples: the reciprocal of 2/3 is 3/2 the reciprocal of 5 is 1/5 |
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reflexive property
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any quantity is equal to itself
for any number a, a = a 5 = 5, 5 + 2 = 5 + 2 |
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scale model
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a model used to represent an object that is too large or too small to be built at actual size
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substitution property
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a quantity may be substituted for its equal in any expression
if a = b, then a may be replaced by b in any expression if n = 11, then 4n = 4(11) |
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symmetric property
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if one quantity equals a second quantity, then the second quantity equal the first
for any numbers a and b, if a = b, then b = a if 6 + 9 = 15, then 15 = 6 + 9 |
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transitive property
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if one quantity equals a second quantity, and the second quantity equals a third quantity, then the first quantity equals the third quantity
for any numbers a, b, and c, if a = b and b= c, then a = c if 6 + 9 = 15 and 15 = 11 + 4, then 6 + 9 = 11 + 4 |
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variables
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symbols used to represent unspecified numbers or values (usually an alphabet letter)
example: 4n, n is the variable |
