College Prep Algebra I Midterm Vocabulary
Unlock all answers in this set
Unlock answersquestion
algebraic expression
answer
a collection of numbers, variables, and operations
question
base
answer
the number being multiplied in a power
question
domain
answer
the list of inputs in a function (x)
question
equation
answer
formed when an equal sign (=) is placed between two expressions creating a left and right side
question
evaluate
answer
replacing each variable in an expression by a number
question
exponent
answer
value that shows how many times the base is being multiplied by itself
question
function
answer
a rule that establishes a relationship between two quantities (input/output)
question
inequality
answer
formed when a symbol such as (<) is placed between two expressions
question
input
answer
(x) in a function
question
order of operations
answer
to evaluate an expression with more than one operation
question
ordered pair
answer
A pair of numbers that can be used to locate a point on a coordinate plane (x,y)
question
output
answer
(y) in a function
question
power
answer
an expression that contains a base and exponent
question
range
answer
the list of outputs in a function (y)
question
simplify
answer
to write an expression in a simpler form; also used to indicate "evaluation"
question
solution
answer
the value in place of the variable that makes the equation or inequality true
question
variable
answer
a letter that is used to represent one or more numbers
question
absolute value
answer
The distance a number is from zero on a number line
question
coefficient
answer
A number multiplied by a variable in an algebraic expression
question
constant
answer
a term that does not contain a variable in an expression or equation
question
coordinate
answer
a number that identifies a position relative to an axis
question
Distributive Property
answer
a(b + c) = ab + ac; a number outside the parentheses can be multiplied to each term within the parentheses
question
integer
answer
numbers on a number line that can be positive, negative or zero
question
like terms
answer
terms that have identical variables and exponents; when simplifying an expression, you can combine these
question
matrix
answer
a rectangular array of numbers into horizontal rows and vertical columns
question
opposites
answer
two numbers that are the same distance from zero on a number line, but are in opposing directions. (-2 and 2)
question
real number
answer
all rational or irrational numbers; these numbers can be represented on the number line
question
reciprocal
answer
The inverse of a fraction; when multiplied by the original fraction, it results in a product that equals one
question
speed
answer
a rate at which something happens
question
terms
answer
values in an equation or expression that are separated by operations such as multiplying, adding, subtracting, or dividing
question
velocity
answer
speed in a given direction
question
Division Property of Equality
answer
if you divide the same number to each side of an equation, the two sides remain equal
question
Addition Property of Equality
answer
if you add the same number to each side of an equation, the two sides remain equal
question
formula
answer
an expression or equation that is set to solve real-life fundamental principles
question
inverse operations
answer
operations that undo each other, such as addition and subtraction
question
linear equation
answer
an equation whose graph is a line
question
Multiplication Property of Equality
answer
if you multiply the same number to each side of an equation, the two sides remain equal
question
ratio
answer
a comparison of two quantities by division
question
simplest form
answer
an algebraic expression in this form has no like terms and no parentheses; also a fraction that cannot be reduced
question
Subtraction Property of Equality
answer
if you subtract the same number to each side of an equation, the two sides remain equal
question
unit rate
answer
a rate per one given unit, such as 60 miles per one gallon
question
constant of variation
answer
the slope, or rate of change, in the equation y=kx, represented by k
question
coordinate plane
answer
formed by a horizontal number line called the x-axis and a vertical number line called the y-axis
question
direct variation
answer
an equation of the form y=kx, where k does not equal 0
question
function notation
answer
an equation in the form of 'f(x)=' to show the output value of a function, f, for an input value x
question
origin
answer
the point of intersection of coordinate axes (0,0)
question
slope
answer
the steepness of a line on a graph, equal to its vertical change divided by its horizontal change (rise over run)
question
slope intercept form
answer
y=mx+b, where m is the slope and b is the y-intercept of the line.
question
standard form
answer
Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative
question
x-axis
answer
the horizontal axis on a coordinate plane
question
x-coordinate
answer
The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
question
x-intercept
answer
the x-coordinate of a point where a graph crosses the x-axis
question
y-axis
answer
the vertical axis on a coordinate plane
question
y-coordinate
answer
The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
question
y-intercept
answer
the y-coordinate of the point where the line crosses the y-axis
question
Communitive Property
answer
when adding or multiplying, you can switch the numbers
question
Associative Property
answer
states you can change the groupings of additions or multiplications ex. (4+5)+8=4+(5+8)
question
Property of Zero
answer
any number multiplied by 0 will equal 0
question
Identity Property of Multiplication
answer
the product of any number and 1 is equal to the original number (a x 1 = a)
question
Identity Property of Addition
answer
The property that states: the sum of any number & zero is that number; n + 0 = n
