The quarterback for the Galactic Football team was playing in the Universe Bowl. On first down he rushed for 7 yards. On second down he was sacked for –5 yards. On third down he threw the ball for 6 yards. Which number sentence below correctly shows the total amount of yards he added?

Responses
A 7 – (–5) + 6 = 187 – (–5) + 6 = 18
B 7 – (–5) + 6 = 87 – (–5) + 6 = 8
C 7 + (–5) + 6 = 87 + (–5) + 6 = 8
D 7 + (–5) + 6 = 18

1 answer

To find the total amount of yards the quarterback gained, we need to combine the results of each play.

  1. First down: he rushed for 7 yards.
  2. Second down: he was sacked for -5 yards, which means he lost 5 yards.
  3. Third down: he threw the ball for 6 yards.

So we can write the total yards as:

\[ 7 + (-5) + 6 \]

Calculating this step by step:

  • First, combine 7 and -5: \[ 7 + (-5) = 2 \]

  • Then add 6: \[ 2 + 6 = 8 \]

Therefore, the total amount of yards added is 8 yards.

The correct number sentence is:

C. \( 7 + (-5) + 6 = 8 \)