Unit 5 - Numerical & Algebraic Expressions
coefficient
A number multiplied by a variable in an algebraic expression.
common factor
A number that is a factor of two or more numbers
variable
A symbol used to represent a quantity
constant
A term without a variable
term
Each number in a sequence
evaluate
Examine and judge carefully.
greatest common factor (GCF)
The largest factor that two or more numbers have in common.
simplest form
The lowest form of a fraction.
powers
The number of times a number is repeated as a factor.
exponents
The number that is small and raised to show how many times to multiply the number by itself.
Commutative Property
The property that says that two or more numbers can be added or multiplied in any order without changing the result.
substitution
The replacement of the letters in an algebraic expression with known values.
least common multiple (LCM)
The smallest multiple that two or more numbers have in common
Associative Property
The way in which numbers are grouped does not change their sum or product
simplify
To express a fraction in simplest form.
algebra
A branch of mathematics that involves expressions with variables
factor tree
A diagram showing how a composite number breaks down into its prime factors.
expression
A mathematical phrase that contains operations, numbers, and/or variables.
Distributive Property
Multiply each number in the parentheses by the number outside the parentheses. Then solve.
numerical expression
a combination of numbers and operations
operation
addition, subtraction, multiplication, division
algebraic expression
an expression that contains at least one variable
products
answer to a mutiplication problem
defining the variable
choose a variable and decide what it represents
equivalent expressions
expressions that have the same value
equivalent
having the same value
numerical
related to numbers, or a series of numbers
order of operations
the 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
factoring the expression
the process of writing numeric or algebraic expressions as a product of their factors
multiple
the product of a number and any whole number
Identity Property
the sum of any number and 0 is that number the product of 1 and any number is that number
expand
to open up, make or grow larger; to develop
combine
to put two things together
