Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you apply the Distributive Property to the expression 3(2c - 5)?

Back

You multiply 3 by each term inside the parentheses: 3 * 2c = 6c and 3 * -5 = -15, resulting in 6c - 15.

Front

Simplify the expression 11(9 + d) using the Distributive Property.

Back

You distribute 11 to both terms: 11 * 9 = 99 and 11 * d = 11d, resulting in 99 + 11d.

Front

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

Back

Distributing 2 gives you 2 * c = 2c and 2 * -8 = -16, resulting in 2c - 16.

Front

If you have the expression 8(5 + w), how do you simplify it?

Back

Distributing 8 gives you 8 * 5 = 40 and 8 * w = 8w, resulting in 40 + 8w.

Front

What is an example of a real-world application of the Distributive Property?

Back

Calculating total cost: If a shirt costs $20 and you buy 3 shirts and 2 pairs of pants at $30 each, you can use the Distributive Property to find the total cost: 3(20) + 2(30) = 60 + 60 = $120.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its most basic form.

Front

What are like terms in an expression?

Back

Like terms are terms that have the same variable raised to the same power, such as 2x and 3x.

Front

How do you combine like terms in the expression 6c - 15 + 2c?

Back

You add the coefficients of like terms: 6c + 2c = 8c, resulting in 8c - 15.

Front

What is the first step in using the Distributive Property?

Back

Identify the term outside the parentheses and the terms inside the parentheses that need to be multiplied.