Question

Use properties of operations to generate an expression that is equivalent to the given expression.

2. 15+ (-3)(x + 4)

Answer 1

3 - 3x

Step-by-step explanation:

I did mental math so I really didn't right anything.

Answer 2

To generate an expression equivalent to 15 + (-3)(x + 4), distribute -3 to both x and 4, then combine like terms to get 3 - 3x

Step-by-step explanation:

To generate an expression that is equivalent to 15 + (-3)(x + 4), we can use the distributed property of multiplication over addition. This property states that when multiplying a number by a sum, we can distribute the multiplication to each term within the sum.

So, we can distribute -3 to both x and 4:

15 + (-3)(x + 4) = 15 + (-3x) + (-3)(4)

Which simplifies to:

15 - 3x - 12

Combining like terms gives us the final expression:

3 - 3x