Use the Distributive Property to combine like terms and simplify the expression. (1 point) Responses Image with alt text: Negative 14z Image with alt text: Negative 2z minus 12 Image with alt text: Negative 2z plus 28

Answer 1

To simplify an expression using the Distributive Property, you first need to distribute any factors outside of parentheses to the terms inside. However, since you didn’t provide the full expression, I will illustrate the process by combining like terms and simplifying a similar expression.

For example, let's simplify the expression \( 2(3z) - 4z + 6 \).

1. Apply the Distributive Property:

   • \( 2(3z) = 6z \)

   So the expression becomes: \[ 6z - 4z + 6 \]

2. Combine like terms:

   • \( 6z - 4z = 2z \)

Thus, the simplified expression is: \[ 2z + 6 \]

If you provide the full expression you want to simplify, I can help you directly with that.

Answer 2

PICK ONE Negative 14z Negative 2z minus 12 Negative 2z plus 28 Negative 2z plus 14

Answer 3

To determine which expression is simplified from a potential original expression using the Distributive Property, let's examine the provided options:

1. Negative 14z (or \(-14z\))
2. Negative 2z minus 12 (or \(-2z - 12\))
3. Negative 2z plus 28 (or \(-2z + 28\))
4. Negative 2z plus 14 (or \(-2z + 14\))

Without an original expression to reference, I can't definitively say which option is the result of using the Distributive Property. However, often, simplified forms usually involve combining like terms effectively.

If we suppose that we had an original expression such as \( -2z + a\), we would check the constants to determine which matches.

Please let me know if there's a specific expression you need to simplify or clarify, and I can help you choose the correct answer!