Question

1. during a walkathon, 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 - 19 d 2x + 19

Explanation:

Step1: Set up the subtraction

To find the difference, subtract Team B's miles from Team A's miles: \((6x + 12)-(4x - 7)\)

Step2: Distribute the negative sign

\(6x + 12 - 4x + 7\) (because subtracting a negative is adding the positive)

Step3: Combine like terms

For \(x\)-terms: \(6x - 4x = 2x\)
For constant terms: \(12 + 7 = 19\)
So the result is \(2x + 19\)

Answer:

D. \(2x + 19\)