Use the Distributive Property to combine like terms and simplify the expression. (1 point) Responses Image with alt text: 13x minus 15 13x + 45 13 x + 45 Image with alt text: Negative 32x

5 answers

To simplify the expression using the Distributive Property, we first need the original expression. Since it's not given explicitly in your question, I will assume that you want to combine like terms based on the responses provided.

We start by assuming two terms are present in an expression. For example, let's say:

\( 13x - 15 + 13x + 45 \)

Now, combining like terms (the \( x \) terms and the constant terms):

  1. Combine \( 13x + 13x = 26x \)
  2. Combine \( -15 + 45 = 30 \)

So, the expression simplifies to:

\( 26x + 30 \)

If you wanted a different expression, please provide the full original expression, and I can assist with simplifying it further. If the responses you provided are separate, and you want to evaluate them one-by-one, please clarify!

this is wrong

I apologize for any confusion in my previous response. Let’s clarify and work through the problem step by step using the Distributive Property.

If you have an expression such as \( a(b + c) \), the Distributive Property states that:

\[ a(b + c) = ab + ac \]

If you provide the original expression, I'd be happy to help you simplify it accurately!

In the absence of a specific expression, I can provide an example for clarity:

For example, if the expression is:

\( 3(2x + 4) - 5(x + 1) \)

Using the Distributive Property:

  1. Distribute \( 3 \) across \( (2x + 4) \): \( 3 \times 2x + 3 \times 4 = 6x + 12 \)

  2. Distribute \( -5 \) across \( (x + 1) \): \( -5 \times x - 5 \times 1 = -5x - 5 \)

Now combine like terms:

  • Combine \( 6x - 5x = 1x \) or just \( x \).
  • Combine \( 12 - 5 = 7 \).

So the expression simplifies to:

\[ x + 7 \]

If you give me the specific terms or components of the expression you have, I can provide a tailored answer. Thank you for your patience!

PICK ONE OF THESE ANSWERS 13x minus 15 13x + 45 13 x + 45 Negative 32x

Given the options you provided, there seems to be a misunderstanding in analyzing the expressions based on usage of the Distributive Property or combining like terms and simplifying.

Here are the options:

  1. \( 13x - 15 \)
  2. \( 13x + 45 \)
  3. \( 13x + 45 \) (duplicate)
  4. \( -32x \)

To help determine which one could be the correct simplified expression, I will choose the most reasonable option without additional context to simplify from.

If we look at the first option \( 13x - 15 \), this seems like a standard form of an expression, but we need to know the original equation to verify correctness.

Without knowing the original expression, it’s challenging to choose definitively. But if I have to pick one based solely on a common expression that results from combining like terms with a linear term, I would choose:

\[ 13x - 15 \]

Please confirm if this is the correct selection based on your original question or provide further clarification about the expression you started with. Thank you!

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