The Wolves football team gained 12 yards on their first play. Then the team lost 4 yards and gained 7 yards on their next play. What integer represents the team's total progress after these plays?

1 answer

To determine the team's total progress, we can calculate the net yardage by combining the results of each play.

  1. The team gained 12 yards on the first play: \[ +12 \text{ yards} \]

  2. The team lost 4 yards on the second play: \[ -4 \text{ yards} \]

  3. The team gained 7 yards on the third play: \[ +7 \text{ yards} \]

Now, we can sum these values to find the total progress: \[ 12 + (-4) + 7 \]

Calculating this step-by-step:

  1. Calculate \(12 - 4\): \[ 12 - 4 = 8 \]
  2. Now add 7 to the result: \[ 8 + 7 = 15 \]

Thus, the team's total progress after these plays is: \[ \boxed{15} \text{ yards} \]

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