Algebra Vocab Exam Chapters 1-6

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WMAAAmath  on January 27, 2011

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Algebra Vocab Exam Chapters 1-6

variable
a symbol used to represent a quantity that can change
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Definitions

variable a symbol used to represent a quantity that can change
constant a value that does not change
algebraic expression an expression that contains at least one variable
numerical expression a mathematical phrase that contains operations and numbers
opposites numbers that are the same distance from zero on opposite sides of the number line
absolute value the distance from zero on a number line
multiplicative inverse the reciprocal of a number
repeating decimal a rational number in decimal form that has a block of one or more digits that repeats continuously
coefficient a number multiplied by a variable.
like terms terms with the same variables raised to the same exponents.
order of operations a rule for evaluating expressions: Parentheses, exponents, multiplication and division, addition and subtraction
terminating decimals a rational number in decimal form that has a finite number of digits after the decimal point
origin the intersection of the x and y axes in a coordinate plane
y axis the vertical axis in a coordinate plane
x axis the horizontal axis in a coordinate plane
axes two perpendicular number lines, also know as the x axis and the y axis, used to define the location of a point in a coordinate plane
ordered pair a pair of numbers that can be used to locate a point on a coordinate plane
y coordinate the second number in an ordered pair
x coordinate the first number in an ordered pair
output the result of substituting a value for a variable in a function
input a value that is substituted for the independent variable in a relation or function
quadrant one of the four regions into which the x and y axis divide the coordinate plane
coordinate plane a plane that is divided into four regions
equation a mathematical sentence that shows that two expressions are equivalent
identity an equation that is true for all values of the variables
solution of the equation a value that makes the equation true
contradiction an equation that is not true for any value of the variable
domain the set of input values of a function
range the set of output values of a function
discrete graph a graph made up of unconnected points
continuous graph a graph made up of connected curves or lines
dependent variable a variable whose value depends on the value of the input, also known as the output
independent variable a variable whose value determines the value of the output, also known as the input
function a type of relation that pairs each element in the domain with exactly one element in the range
no correlation no relationship between the sets of values
scatter plot a graph with point plotted to show a possible relationship between two sets of data
negative correlation one set of data values increases as the other set decreases
positive correlation both sets of data values increase
x intercept the x coordinate of the point where the graph intersects the x axis
linear function a function whose graph forms a straight line
slope the measure of the steepness of a line
y intercept the y coordinate of the point where a graph intersects the y axis
direct variation a relationship between two variables, x and y, that can be written in the form y=kx
perpendicular lines lines that intersect at 90 degree angles
parallel lines lines in the same planes that do not intersect
rotation a turn
reflection a flip
family of functions a set of functions who graphs have basic characteristics in common
parent function the most basic function of a family of functions, or the original function before a transformation is applied
translation a slide

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