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: 4(2x + 3)

Back

8x + 12

Front

What do the parentheses in an expression indicate?

Back

They indicate that the terms inside should be multiplied by the factor outside.

Front

Simplify the expression: 6(x + y + 7)

Back

6x + 6y + 42

Front

If a = 3, b = 4, simplify: 2(a + b)

Back

14

Front

What is the first step in applying the Distributive Property?

Back

Multiply the term outside the parentheses by each term inside the parentheses.

Front

Simplify the expression: 5(3x + 2)

Back

15x + 10

Front

What is the result of applying the Distributive Property to 7(2x - 5)?

Back

14x - 35

Front

If you have the expression 3(x + 4) + 2(x + 1), what is the simplified form?

Back

5x + 14

Front

What does it mean to 'combine like terms'?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.