Expressions, Equations, and Properties of Operations

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What is the Associative Property of Addition?

Back

The Associative Property of Addition states that changing the grouping of numbers does not change their sum. For example, (1 + 2) + 3 = 1 + (2 + 3).

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What is an expression?

Back

An expression is a mathematical phrase that can include numbers, variables, and operators, but does not have an equal sign. For example, 3x + 7 is an expression.

Front

What is an equation?

Back

An equation is a mathematical statement that shows the equality of two expressions, and it includes an equal sign. For example, 6x = 12 is an equation.

Front

What is a variable?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematics. For example, in the expression 3x + 7, 'x' is a variable.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an expression. For example, in the term 5x, 5 is the coefficient.

Front

What is a constant?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 4, 4 is a constant.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 2 + 3 = 3 + 2.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that changing the grouping of factors does not change the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 4 x 5 = 5 x 4.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number. For example, 5 + 0 = 5.