Use the distributive property to write an equivalent expression. 7, left parenthesis, q, minus, 4, r, plus, 1, right parenthesis 7(q−4r+1)

Answer 1

To use the distributive property on the expression \( 7(q - 4r + 1) \), we will multiply each term inside the parentheses by 7.

Let's distribute:

\[ 7(q - 4r + 1) = 7 \cdot q + 7 \cdot (-4r) + 7 \cdot 1 \]

Calculating each term:

1. \( 7 \cdot q = 7q \)
2. \( 7 \cdot (-4r) = -28r \)
3. \( 7 \cdot 1 = 7 \)

Putting it all together, we get:

\[ 7(q - 4r + 1) = 7q - 28r + 7 \]

Thus, the equivalent expression is:

\[ 7q - 28r + 7 \]