which algebraic expression is equivalent tot eh expression below?

Question

4(11k+3)+6k
Given
17k+7
21k+7
68k+12
50k+12

Answer 1

To simplify the expression \( 4(11k + 3) + 6k \), we can follow these steps:

1. Distribute \( 4 \) into the parentheses: \[ 4(11k) + 4(3) = 44k + 12 \]

2. Now add \( 6k \) to this result: \[ 44k + 12 + 6k = 50k + 12 \]

The simplified expression is \( 50k + 12 \).

So, the equivalent algebraic expression is:

50k + 12.