Pre-Algebra Warmup - 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 number by a sum or difference.

Front

How do you apply the Distributive Property to 5(-2x - 11)?

Back

You multiply 5 by each term inside the parentheses: 5 * -2x = -10x and 5 * -11 = -55, resulting in -10x - 55.

Front

What is the result of applying the Distributive Property to (8 - 2x)10?

Back

You multiply 10 by each term: 10 * 8 = 80 and 10 * -2x = -20x, resulting in 80 - 20x.

Front

What is the equivalent expression for -5(-2x - 6)?

Back

Using the Distributive Property: -5 * -2x = 10x and -5 * -6 = 30, resulting in 10x + 30.

Front

How do you simplify (5 - 3x)2 using the Distributive Property?

Back

Multiply 2 by each term: 2 * 5 = 10 and 2 * -3x = -6x, resulting in 10 - 6x.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of their variables.

Front

What is the result of 12(3y + 2) using the Distributive Property?

Back

Multiply 12 by each term: 12 * 3y = 36y and 12 * 2 = 24, resulting in 36y + 24.

Front

If a = 3 and b = 4, what is the value of 2(a + b) using the Distributive Property?

Back

2(a + b) = 2 * 3 + 2 * 4 = 6 + 8 = 14.

Front

What is the first step in using the Distributive Property?

Back

Identify the number outside the parentheses and the terms inside the parentheses.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be used with subtraction: a(b - c) = ab - ac.