Question

1. during a walk - a - thon, team a walks a total of (6x + 12) miles, and team b walks a total of (4x - 7) miles. what is the difference in miles walked between the two teams?

a) 2x - 5
b) 2x + 5
c) 2x + 12
d) 2x + 19

Explanation:

Step1: Identify the distances

Team A: \(6x + 12\) miles, Team B: \(4x - 7\) miles.

Step2: Calculate the difference

Subtract Team B's distance from Team A's: \((6x + 12) - (4x - 7)\).

Step3: Simplify the expression

Distribute the negative sign: \(6x + 12 - 4x + 7\). Combine like terms: \((6x - 4x) + (12 + 7) = 2x + 19\).

Answer:

\(2x + 19\) (which corresponds to option d)