Vocabulary for Chapters 1 - 5 Algebra I
Terms
undefined, object
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- symbol which represents one or more numbers
- variable
- a number; a value which does not change
- constant
- mathematical phrase which includes numbers and operation symbols
- numeric expression
- mathematical phrase which includes numbers, variables, and operation symbols
- algebraic expression
- mathematical sentence which contains an equals sign
- equation
- an equation which contains one or more variables
- open sentence
- accepted order of operations
- PEMDAS
- replace a phrase with its simplest name
- simpligy
- tells how many times a number is used as a factor
- exponent
- has two parts, a base and an exponent
- power
- number in a power used as a factor
- base
- substitute given values for variables and simplify
- evaluatef
- mathematical sentence which compares the value of two expressions using an inequality symbol
- inequality
- any example which proves a statement false
- counterexample
- two numbers which are the same distance from zero on a number line
- opposites
- distance of a number from zero on the number line
- absolute value
- rectangular arrangement of numbers in columns and rows
- matrix
- an item in a matrix
- element
- multiplicative inverse
- reciprocal
- number by which you multiply all elements in a matrix
- scalar
- number, variable, or product of a number and variable in an algebraic expression
- term
- numerical factor of a term
- coefficient
- terms which have the same variable factors
- like terms
- two number lines that intersect at right angles
- coordinate plane
- point of intersection of two number lines
- origin
- horizontal axis
- x-axis
- vertical axis
- y-axis
- four sections made by the two axes in a coordinate plane
- quadrants
- x-coordinate
- abscissa
- y-coordinate
- ordinatef
- graph which relates two types of data
- scatter plot
- shows a correlation on a scatter plot more clearly
- trend line
- values of variables which make an equation true
- solution
- equations which have the same solution
- equivalent equations
- equation which is true for every value of the variable
- identityf
- integers which differ by 1
- consecutive integers
- a constant rate
- uniform motion
- distance = rate * time
- rate or distance formula
- equation involving two or more variables
- literal equation
- values used to describe a set of data
- measure of central tendency
- sum of all data items divided by the number of data items
- mean
- middle value when the numbers in a data set are arranged in order
- median
- data item that occurs the most often
- mode
- difference between the greatest and smallest data values in a set
- range
- a data value which is much lower or higher than other values in the data set
- outlier
- display of data made by using the digits of the values
- stem and leaf plot
- any number that makes an inequality true
- solution
- inequalities with the same solution
- equivalent inequalities
- two inequalities joined by the word and ...or...or
- compound inequalities
- compound inequality which uses the word and
- conjunction
- compound inequality which uses the word or
- disjunction
- equation which states that two rations are equal
- proportion
- figures which have the same shape but not the same size
- similar figures
- an enlarged or reduced drawing that is similar to an actual object or place
- scale drawing
- ratio of a distance in a scale drawing to the corresponding actual distance
- scale
- amount of change divided by the original amount times 100
- percent change
- one half of the measuring unit
- greatest possible error
- greatest possible error divided by the measurement times 100
- percent error
- how likely an event is to occur
- probability
- result of a single trial
- outcome
- any outcome or group of outcomes
- event
- all of the possible outcomes
- sample space
- number of favorable outcomes divided by the number of possible outomes
- theoretical probability
- consists of all the outcomes not in the event
- complement of an event
- number of times an event occurs divided by the number of times the experiment is done
- experimental probability
- events that do not influence one another
- independent events
- events that influence each other
- dependent events
- a set of ordered pairs
- relation
- set of first coordinates in a relation
- domain
- set of second coordinates in a relation
- range
- a relation that assigns exactly one value in the range to each value in the domain
- function
- a way to determine if a relation is a function by analyzing the graph
- vertical line test
- equation which describes a function
- function rule
- using f(x) to describe function outputs
- function notation
- input values of a function
- independent variable
- output values of corresponding input values
- dependent variable
- a function in the form y = kx where k does not equal zero
- direct variation
- a function in the form xy=k where k does not equal zero
- inverse variation
- coefficient of x in a direct variation
- constant of variation
- making conclusions based on patterns you see
- inductive reasoning
- a conclusion reached by inductive reasoning
- conjecture
- a number patternf
- sequence
- each number in a sequence
- term
- a type of sequence which is formed by adding a fixed number to each previous term
- arithmetic sequence
- fixed term in an arithmetic sequence
- common difference