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?

Question

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 = 187 + (–5) + 6 = 18
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Answer 1

To find the total amount of yards the quarterback gained, we need to calculate the net yards from each of the three plays.

1. First down: He rushed for 7 yards. (This is +7)
2. Second down: He was sacked for -5 yards. (This is -5)
3. Third down: He threw the ball for 6 yards. (This is +6)

Now, we can combine these values.

The calculation is as follows:

Total yards = 7 + (-5) + 6

This simplifies to:

Total yards = 7 - 5 + 6 Total yards = 2 + 6 Total yards = 8

Now let's look at the options provided.

• A: 7 - (–5) + 6 = 18 (Incorrect; it incorrectly uses subtraction of a negative.)
• B: 7 - (–5) + 6 = 8 (Incorrect; it incorrectly uses subtraction of a negative.)
• C: 7 + (–5) + 6 = 8 (Correct; this correctly adds the negative yards.)
• D: 7 + (–5) + 6 = 18 (Incorrect; it correctly shows the equation, but the result is wrong.)

The correct answer is C: \(7 + (–5) + 6 = 8\).