| Terms |
Definitions |
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4^2 =
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16
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5^3 =
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125
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6^2 =
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36
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14^2 =
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196
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2^4 =
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16
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x^0 =
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1
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evaluate
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express numerically
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coordinates
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ordered pair
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variable
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quantity that can change
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Rule: x^a * x^b =
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x^a+b
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algebra
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mathematics of working with variables
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equation
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mathematical sentence built from expressions using one or more equal signs
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Rule: (x^a)^b =
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x^a*b
ex. (7^3)^8 = 7^24
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closed interval
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interval that contains its endpoints
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sqrt(a*b =
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sqrt.a * sqrt.b
ex. sqrt(72 = sqrt(36*2 = 6*sqrt.2
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mean
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average, found by adding up all numbers in set, then dividing sum by number of data points
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trinomial
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polynomial with three terms which are not like
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square root
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positive number that must be multiplied times itself to equal a given number
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binomial
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expression that is the sum or difference of two terms
|
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coefficient
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number multiplied times a product of variables
|
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ordered pair
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collection of objects having two coordinates
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complex fraction
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fraction or fractions within a fraction
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origin
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represented by two zeros separated by a comma on a coordinate plane
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inverse variation
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relationship between two variables in which the product is a constant
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coordinate axis
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reference line on a coordinate plane
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Key to Factoring -
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Basically reversing parentheses rules; pull out common factors to form parentheses.
- With fractions, Factor both numerator and denominator individually 1st. Then look for like terms
Dont try and form & force like terms
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function
|
relation for which each element of the domain corresponds to one element in range
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simplify
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to rewrite an expression as simply as possible
|
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half open interval
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interval that contains only one endpoint
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domain
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set of all possible values of an independent variable in a function
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interval
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set of all real numbers between two given numbers
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coordinate plane
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graph with two axes and four quadrants
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system of equations
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two or more equations containing common variable
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ex. 27^(2x+4) = 3^(3x+9); X=?
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(3^3)^(2x+4) = 3^6x+12=3^3x+9
3x=-3 ; x=-1
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solution set
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any and all values of the variables that satisfy an equation or system of inequalities
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conjugate
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result of writing sum of two terms as a difference or vice versa
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absolute value
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numerical value of a real number, no matter if positive or negative
|
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linear equation
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equation in which each term is either a constant or the product of a constant
|
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range
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set of y values of a function or relation
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(x + y)^2 -breaks down into
|
x^2 + 2*x*y + y^2
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(x - y)^2 -breaks down into
|
x^2 - 2*x*y + y^2
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Units Digits w/ exponents
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There is a pattern for determining units digits for products & exponents.
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cartesian coordinates
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pair of numbers that is used to locate a point
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composite number
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number that is a multiple of at least two numbers other than itself and one
|
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Pattern Units Digits w/ exponents - "5" -
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= 5, 5, 5, 5,....
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Key Property of inequalities -
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If you multiply or divide both sides by a negative number, the inequality flips
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1/2 root of 8 is same as
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8^1/ 1/2 = 8^ 1/1*2/1 = 8^2
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Simultaneously solving more than 2 equations
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Solve by putting 2 of the equations together to eliminate a variable. KEY is to eliminate a variable so, manipulate one or both equations all the way across to do so.
Then use that product to plug into other equations
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