Question

1. what would be the most efficient first step to solve the equation $k - 29 = 92$?

a. add 29 to both sides of the equation.
b. add 92 to both sides of the equation.
c. subtract 29 from both sides of the equation.
d. subtract 92 from both sides of the equation.

Explanation:

Step1: Identify goal: isolate $k$

The equation is $k - 29 = 92$; we need to get $k$ alone.

Step2: Cancel the -29 term

To eliminate $-29$ on the left, we use the inverse operation (addition) on both sides.
<Expression>Add 29 to both sides: $k - 29 + 29 = 92 + 29$</Expression>

Step3: Verify efficiency

This directly isolates $k$ in one step, which is the most efficient.

Answer:

A. Add 29 to both sides of the equation.