Distributive Property and Combining Like Terms

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 does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. This simplifies expressions.

Front

What is a variable?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematics.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 3n, 3 is the coefficient.

Front

What is a constant term?

Back

A constant term is a term that does not contain any variables. For example, in the expression 5x + 3, the number 3 is a constant.

Front

Simplify: 4x + 2x

Back

6x

Front

Simplify: 3a + 5a - 2a

Back

6a

Front

Use the Distributive Property: 2(3 + 4)

Back

14

Front

Use the Distributive Property: 5(2x - 3)

Back

10x - 15

Front

What is the result of combining like terms: 7y + 2y - 4y?

Back

5y