Algebra 1 vocab ch 1  5
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a letter that is used to represent one or more numbers
variable

a collection of numbers, variables and operations
variable expression


Replacing each variable in an expression by a number is called
evaluating the expression

writing the units of each variable in a real life problem
unit analysis

translating words into mathematics
verbal model

the number of times the base is used as a factor
exponent

indicate the order in which the operations should be performed
 grouping symbols
 parentheses and brackets

mathematicians have established these to evaluate a expression involving more than one operation
order of operations

formed when an equal sign is placed between 2 expressions
equation

an equation that contains one or more variables
open sentence

when variables are replace with numbers and the statement is true
solution of an equation

finding all the solutions of an equation
solving the equation

a type of open sentence
inequality

number that produces a true statement when it is substituted for the variable in an inequality
solution of an inequality

writing algebraic expressions, equations, or inequalities that represent real life situations
modeling

expression, equation or inequality
mathematical model

information, facts or numbers that describe something
data


a rule that establishes a relationship between 2 quantities called the input and output
function

a table that lists inputs and outputs
inputoutput table

collection of all the input values
domain

collection of all the output values
range

point labeled 0 on number line
origin

negative, 0, or positive number
integer

the point that corresponds to a number is the
graph of the number

drawing the point
plotting

2 points that are the same distance from the origin but on opposite sides of the origin are
opposites

speed and direction
velocity

to prove that a statement is false you need to show that it is not true for only one example, called a
counterexample

rectangular arrangement of numbers into rows and columns
matrix

each number in a matrix is called
entry or element

the factors are distributed to each term of the sum
distributive propertiy

in a term that is the product of a number and a variable, the number is the what of the variable
coefficient

terms in an expression that have the same variable raised to the same power
like terms

allows you to combine like terms that have variables by adding coefficients
distributive property

when all like terms have been combined and no grouping symbols are left
simplified expression

for every real number except 0 there is a
reciprocal

the product of a number and its reciprocal is one
inverse property of multiplication

measure of likelihood that an event will occur
probability

different possible results of probability
outcomes

a collection of outcomes in probability
event

the outcomes for an event you wish to have happen
favorable outcomes

probability based on repetitions of an actual experiment
experimental probability

number of favorable outcomes divided by the number of unfavorable outcomes
odds

a different equation with the same solution as the original equation
equivalent equations

each time you apply a transformation to an equation, you are writing a
solution step

an equation where the variable is raised to the first power and does not occur in a denominator, inside a square root or inside absolute value symbols
linear equation

the transformations used to isolate the variable are based on what property
properties of equality

two triangles that have equal corresponding angles
similar triangles

2 quantities measured in the same units
ratio of a to b

an equation that is true for all values of the variable
identity

an algebraic equation that relates 2 or more real life quantities
formula

2 quantities measured in different units
rate of a per b

a rate per one given unit
unit rate

formed by 2 real number lines that intersect at a right angle
coordinate plane

each point in the plane corresponds to an __________ of real numbers
ordered pair

first number in ordered pair
x coordinate

second number in an ordered pair
y coordinate

graphing pairs of data on a coordinate axis
scatter plot

an ordered pair that makes the equation true
solution of equation

the x coordinate of a point where a graph crosses the x axis
x intercept

the point where graph crosses y axis
y intercept

the number of units a line rises or falls for each unit of horizontal change from left to right
slope

compares 2 different quantities that are changing
rate of change

2 quantities that vary directly
direct variation

y=mx+b is written in
slopeintercept form

any set of ordered pairs
relation

the value of f at x or f(x)
function notation

set of all points where x is in the domain of the function
graph of a funciton

if there is no single line that passes through all the data points
best fitting line

when points on a scatter plot can be approximated by a line with positive slope, x and y have a
positive correlation

when points can be approximated by a line with negative slope, x and y
have a negative correlation

when the points cannot be well approximated by a straight line
relatively no correlation

yy1 = m(xx1)
pointslope form

Ax+By=C
standard form of the equation of a line

a method of estimating the coordinates of a point that lies between 2 given data points
linear interpolation

method of estimating the coordinates of a point that lies to the right or left of all the given data points
linear extrapolation