A football player took forward and backward steps of equal length during a play. After taking 14 steps total, he was back at his starting position. How many steps did the football player take in the forward and backward directions?

(1 point)

Group of answer choices

6 steps forward and 8 steps backward

7 steps forward and 7 steps backward

8 steps forward and 6 steps backward

5 steps forward and 9 steps backward

1 answer

Let's assume the number of steps the player took forward is x. Since the player took an equal number of forward and backward steps, the number of steps the player took backward is also x.

The total number of steps taken by the player is 14. So, we have the equation:

x + x = 14

Simplifying the equation, we get:

2x = 14

Dividing both sides of the equation by 2, we get:

x = 7

Therefore, the player took 7 steps forward and 7 steps backward.

Thus, the correct answer is: 7 steps forward and 7 steps backward.