# Introductory Algebra GlossaryPage 4

Slide 43

## Commutative property of addition

The order of numbers in an addition problem can be changed without changing the sum:

6 + 4 + 3 = 3 + 6 + 4

Slide 44

## Commutative property of multiplication

The product in a multiplication problem remains the same regardless of the order of the factors:

6  4 = 4  6

Slide 45

## Associative property of addition

The way in which numbers being added are grouped does not change the sum:

6 + (3 + 2) = (6 + 3) + 2

Slide 46

## Associative property of multiplication

The way in which numbers being multiplied are grouped does not change the product:

6  (2  3) = (6  2)  3

Slide 47

## Identity property

The sum of zero and any number equals the number, and the product of one and any number equals the number:

X + 0 = x x  1 = x

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## Inverse property

A number added to its opposite is zero and a number multiplied by its reciprocal is one:

1 + (-1) = 0 1  (1/2) = 1

Slide 49

## Distributive property

For any real numbers a, b, and c, the distributive property states that:

a (b + c) = ab + ac.

Slide 50

## Term

A number, a variable, or the product or quotient of a number and one or more variables raised to powers.

Slide 51

## Numerical coefficient

The numerical factor in a term. In the term 6x2 the numerical coefficient is 6.

Slide 52

## Like terms

The same variables raised to exactly the same powers. The terms 2x2 and 7x2 are like terms.

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## Unlike terms

Terms that do not have the same variable or the variables are not raised to the same powers. The terms 2x2 and 7x3 are unlike terms.

Slide 54

## Combining like terms

A method of adding or subtracting like terms by using the properties of real numbers:

2x2 + 7x2 = 9x2.

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