Distributive Property with Variables

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: 3(x + 4)

Back

3x + 12

Front

Simplify the expression: 4(2y - 5)

Back

8y - 20

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as simple as possible.

Front

Simplify the expression: 2(3x + 7)

Back

6x + 14

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents a number in mathematical expressions or equations.

Front

Simplify the expression: 5(2a + 3b)

Back

10a + 15b

Front

What is the result of applying the Distributive Property to 6(x - 2)?

Back

6x - 12

Front

Simplify the expression: 7(3 + 2y)

Back

21 + 14y

Front

What is the coefficient in the expression 4x?

Back

The coefficient is 4, which is the number multiplied by the variable x.