Question

1. which expression is equivalent to $k - 8k - 6k$?

a. $1 - 14k$ b. $k - 14$
c. $-13k$ d. $-15k$

Explanation:

Step1: Combine like terms

First, identify the like terms in the expression \( k - 8k - 6k \). All terms have the variable \( k \), so we can combine their coefficients.
The coefficient of \( k \) is \( 1 \), the coefficient of \( -8k \) is \( -8 \), and the coefficient of \( -6k \) is \( -6 \).
So, we add the coefficients: \( 1 - 8 - 6 \).

Step2: Calculate the sum of coefficients

Calculate \( 1 - 8 - 6 \). First, \( 1 - 8 = -7 \), then \( -7 - 6 = -13 \).
So, the combined expression is \( -13k \).

Answer:

C. \( -13k \)