Question

In a golf tournament, Sam played 4 rounds and was within 2 strokes of par for all 4 rounds of the tournament. If par is 72 on the course he was playing, solve the equation| x - 4(72)| = 2 to determine the highest and lowest scores Sam could have made in the tournament.

Answer 1

Given:

`|x-4(72)|=2`

To find:

The highest and lowest scores Sam could have made in the tournament.

Solution:

We have,

`|x-4(72)|=2`

`|x-288|=2`

It can be written as

`x-288=\pm 2`

Add 288 on both sides.

`x=288\pm 2`

`x=288-2` and
`x=288+2`

`x=286` and
`x=290`

Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.