Complete College Algebra Vocabulary
Set
numerical expression - answersconsists of numbers and operations
evaluate - answersto find the value of an expression
order of operations - answersthe order in which operations in an expression to be
evaluated are carried out. 1. parentheses 2. exponets 3. multiplication and divison 4.
addition and subtraction
variable - answersa letter used to represent one or more numbers
variable expression - answersconsists of numbers, variables, and operations
power - answersis a number made of repeated factors
exponent - answersa mathematical notation indicating the number of times a quantity is
multiplied by itself
base - answersis the number that is repeatedly multiplied in a power
equation - answersa mathematical sentence with an equal sign that shows that two
expressions are equivalent
solving an equation - answersfinding all the solutions of an equation
formula - answersAn equation that shows a relationship among two or more quantities
perimeter - answersThe sum of the lengths of the sides of a polygon
area - answersthe number of square units needed to cover a flat surface
integers - answersPositive and Negative Whole Numbers and 0. Examples: .... -3, -2, -
1, 0, 1, 2, 3.....(Does not include fractions or decimals)
absolute value - answersthe distance a number is from 0 on the number line, value of n
is written l n l
additive identity property - answersThe sum of a number and zero is always that
number.
, additive inverse property - answersThe sum of a number and its opposite is zero.
multiplication identity property - answersThe product of any number and one is that
number.
mean - answersthe sum of the values in a data set divided by the number of values in
the set
commutative property of addition - answersIn a sum, you can add terms in any order, a
+b=b+a
commutative property of multiplication - answersthe order of the factors does not
change the product a x b = b x a
associative property of addition - answerschanging the grouping of terms will not
change the sum, (a + b) + c = a + (b + c)
associative property of multiplication - answerschanging the grouping of factors will not
change the product, (ab)c = a(bc)
distributive property - answersa(b + c) = ab + ac
an + ac = a(b+ c)
terms - answersin an expression are separated by addition and subtraction signs
like terms - answersterms that have identical variable parts raised to the same power
coefficient - answersnumber in front of a variable
constant - answersa term that has no variable and does not change
coordinate plane - answersA plane that is divided into four regions by a horizontal line
called the x-axis and a vertical line called the y-axis.
aka "the Cartesian plane" after René Descartes
ordered pair - answersA pair of numbers, (x, y), that indicate the position of a point on a
coordinate plane.
quadrant - answersone of four sections into which the coordinate plane is divided
Inverse Operation - answersoperations that undo each other, such as addition and
subtraction
Isolate the variable - answersTo get a variable alone on one side of an equation or
inequality in order to solve the equation or inequality
Set
numerical expression - answersconsists of numbers and operations
evaluate - answersto find the value of an expression
order of operations - answersthe order in which operations in an expression to be
evaluated are carried out. 1. parentheses 2. exponets 3. multiplication and divison 4.
addition and subtraction
variable - answersa letter used to represent one or more numbers
variable expression - answersconsists of numbers, variables, and operations
power - answersis a number made of repeated factors
exponent - answersa mathematical notation indicating the number of times a quantity is
multiplied by itself
base - answersis the number that is repeatedly multiplied in a power
equation - answersa mathematical sentence with an equal sign that shows that two
expressions are equivalent
solving an equation - answersfinding all the solutions of an equation
formula - answersAn equation that shows a relationship among two or more quantities
perimeter - answersThe sum of the lengths of the sides of a polygon
area - answersthe number of square units needed to cover a flat surface
integers - answersPositive and Negative Whole Numbers and 0. Examples: .... -3, -2, -
1, 0, 1, 2, 3.....(Does not include fractions or decimals)
absolute value - answersthe distance a number is from 0 on the number line, value of n
is written l n l
additive identity property - answersThe sum of a number and zero is always that
number.
, additive inverse property - answersThe sum of a number and its opposite is zero.
multiplication identity property - answersThe product of any number and one is that
number.
mean - answersthe sum of the values in a data set divided by the number of values in
the set
commutative property of addition - answersIn a sum, you can add terms in any order, a
+b=b+a
commutative property of multiplication - answersthe order of the factors does not
change the product a x b = b x a
associative property of addition - answerschanging the grouping of terms will not
change the sum, (a + b) + c = a + (b + c)
associative property of multiplication - answerschanging the grouping of factors will not
change the product, (ab)c = a(bc)
distributive property - answersa(b + c) = ab + ac
an + ac = a(b+ c)
terms - answersin an expression are separated by addition and subtraction signs
like terms - answersterms that have identical variable parts raised to the same power
coefficient - answersnumber in front of a variable
constant - answersa term that has no variable and does not change
coordinate plane - answersA plane that is divided into four regions by a horizontal line
called the x-axis and a vertical line called the y-axis.
aka "the Cartesian plane" after René Descartes
ordered pair - answersA pair of numbers, (x, y), that indicate the position of a point on a
coordinate plane.
quadrant - answersone of four sections into which the coordinate plane is divided
Inverse Operation - answersoperations that undo each other, such as addition and
subtraction
Isolate the variable - answersTo get a variable alone on one side of an equation or
inequality in order to solve the equation or inequality
