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

Use the Distributive Property to simplify: 3(x + 4)

Back

3(x + 4) = 3x + 12.

Front

Fill in the blank: 5(a + 2) = 5a + __

Back

10.

Front

What is the result of applying the Distributive Property to: 4(2x - 3)?

Back

4(2x - 3) = 8x - 12.

Front

Solve for x: -52 = -2x + 5(-x + 5)

Back

x = 11.

Front

Solve for x: -2x - 2(-7x - 16) = 152

Back

x = 10.

Front

Fill in the blank: 2(x + 7) = 2x + __

Back

14.

Front

Solve for x: -72 = 2x + 3(x - 9)

Back

x = -9.

Front

Expand the expression: 7a(3b - 2c + 4)

Back

21ab - 14ac + 28a.

Front

What does it mean to 'combine like terms'?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.