2-3 C Simplifying Expressions with the Distributive Property

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

Simplify the expression: 6y + 4m - 7y + m

Back

-y + 5m

Front

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

Back

2x - 7

Front

Simplify the expression: 12 - 4(-8v + 17)

Back

32v - 56

Front

Simplify the expression: 6(2x + y) + 2y - 12x

Back

8y

Front

Simplify the expression: 7(2w) + 2(w - 3)

Back

16w - 6

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 are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is a variable in algebra?

Back

A variable is a symbol, usually a letter, that represents a number in an expression or equation.

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.