Look at the expression: -3(2x + 7)

Question

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

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 2

are you sure this is correct

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!