Question

Look at the expression: -3(2x + 7)
This expression involves these two operations __________ and ___________.
We will use the ___________ to simplify this expression.
The simplified expression looks like ___________.
Fill in the blanks
Options: -6x + 7, addition, Distributive property, -6x + 21, multiplication, Associative Property, -6x - 21, subtraction, Commutative Property, -5x + 4, division

Answer 1

are you sure this is correct

Answer 2

Let's analyze the expression -3(2x + 7).

1. The expression involves the operations **multiplication** and **addition** (since we are multiplying -3 with the terms inside the parentheses).
2. We will use the **Distributive property** to simplify this expression.
3. The simplified expression looks like **-6x - 21**.

So, filling in the blanks:

- This expression involves these two operations **multiplication** and **addition**.
- We will use the **Distributive property** to simplify this expression.
- The simplified expression looks like **-6x - 21**.

Answer 3

Let's clarify and break down the process step by step for the expression -3(2x + 7).

1. **Identify the Operations**: The expression -3(2x + 7) indeed involves:
- **Multiplication** (because we are multiplying -3 by each term inside the parentheses)
- **Addition** (because inside the parentheses, we have the expression 2x + 7, which involves addition).

2. **Applying the Distributive Property**: The Distributive Property states that a(b + c) = ab + ac. Applying this to our expression:
- We multiply -3 by each term:
\[
-3(2x) + -3(7) = -6x - 21
\]

3. **Simplified Expression**: After applying the Distributive Property, we get:
- **-6x - 21**

So, completing the sentences using these components:

- This expression involves these two operations: **multiplication** and **addition**.
- We will use the **Distributive property** to simplify this expression.
- The simplified expression looks like **-6x - 21**.

Thus, my previous response was correct. Thank you for your patience!