Question

directions: read each problem carefully. then find the sum or difference.

1. on the first play of a game, the eagles running back lost three yards. on their next play, the quarterback was sacked for a loss of fourteen yards. find the total yards in these two plays.
2. brett and max are diving. brett is 34 feet below the surface and max is 25 feet below the surface. how many feet above brett is max?
3. once a hot - air balloon reached its highest point, it dropped 25 feet. then five minutes later, it dropped another 13 feet. find its total change in altitude during this time.
4. at sunset, the temperature was 4 degrees. then at sunrise the next morning, it was - 7 degrees. what is the difference between these temperatures?
5. the golfer with the highest score in a tournament was nine over par. the golfer with the lowest score was five below par. what was the range in golf scores?
6. nicks bank account balance was $21. if he writes a check for $30 and his bank charges him $35 for overdrawing his account, find his account balance.

Explanation:

Problem 25

Step1: Identify yard losses

First play loss: $-3$ yards (negative for loss)
Second play loss: $-14$ yards

Step2: Sum the losses

Total yards = $-3 + (-14)$
$= -3 - 14$
$= -17$ (total loss of 17 yards)

Step1: Represent depths as negative

Brett's depth: $-34$ feet
Max's depth: $-25$ feet

Step2: Find the difference

How many feet above Brett is Max? Calculate $(-25) - (-34)$
$= -25 + 34$
$= 9$

Step1: Identify altitude drops

First drop: $-25$ feet
Second drop: $-13$ feet

Step2: Sum the drops

Total change = $-25 + (-13)$
$= -25 - 13$
$= -38$ (total drop of 38 feet)

Answer:

The total yards in these two plays is $\boldsymbol{-17}$ yards (or a loss of 17 yards).

Problem 26