Properties and Expressions

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, 6 * 7 = 7 * 6.

Front

Simplify the expression: 3f + 4(2f - 5)

Back

11f - 20

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which factors are grouped does not change the product. For example, (4 * 5) * 6 = 4 * (5 * 6).

Front

Simplify the expression: -2(7x + 5y - 3z)

Back

-14x - 10y + 6z

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What is a variable?

Back

A variable is a symbol, often a letter, that represents one or more numbers.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.

Front

What is the Inverse Property of Multiplication?

Back

The Inverse Property of Multiplication states that for any number a, there exists a number 1/a such that a * (1/a) = 1.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.