Question

1 point

9.) The Franklin Wildcats football team was competing in the regional
championship game. The offense had the ball at the 50-yard line as they
tried to score to win the game. Their progress during each play was as
follows: gain 7, gain 2, lose 1, gain 4, lose 5, gain 27, gain 4, gain 5, gain 0,
gain 3, lose 2, lose 1, gain 1, gain 2. On what yard line did the Wildcats end? *

Answer 1

96 yards

Explanation:

This is basically just a huge addition problem that we can tackle (heh) in our heads.

If we gain yards, then we add.

If we lose yards, then we subtract.

If we started out at 50, the expression is

`50 + 7 + 2 - 1 + 4 - 5 + 27 + 4 + 5 + 0 + 3 - 2 - 1 + 1 + 2`.

We can use the associative property of addition to simplify this. I'm just grouping together things that look easy to do in my head.

`50 + (7 + 2) - 1 + 4 - 5 + (27 + 4) + (5 + 0 + 3) (- 2 - 1) + (1 + 2)\\\\50 + 9 - 1 + 4 - 5 + (31 + 8) (-3 + 3)\\\\(50 + 9) - 1 + 4 - 5 + 39 \\\\59 - 1 + 4 - 5 + 39 \\\\58+4 + (-5+39)\\\\62+34\\\\96`

Hope this helped!