##### Algebra 7
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#### Complete list of Terms and Definitions for Algebra 7

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