Unit 5 - Numerical & Algebraic Expressions

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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


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