Question

Write a linear expression in simplest form to represent total field goal points scored in the first two quarters.

1st quarter= 2x-6
2nd quarter = x+2

Answer 1

Part A) The linear expression that represent the total field goal points scored in the first two quarters is (3x-4)

part B) The linear expression that represent the total points scored in the game is
`6x-1`

Explanation:

Part A) we know that

To find out the total field goal points scored in the first two quarters, sum the field goal points scored in the first quarter plus the field goal points scored in the second quarter

we have that

1st quarter= 2x-6

2nd quarter = x+2

therefore

`(2x-6)+(x+2)`

Group terms

`(2x+x)+(-6+2)`

Combine like terms

`3x-4`

therefore

The linear expression that represent the total field goal points scored in the first two quarters is (3x-4)

Part B) we know that

To find out the total points scored in the game, sum the field goal points scored in the first quarter, plus the field goal points scored in the second quarter plus the field goal points scored in the third quarter, plus the field goal points scored in the fourth quarter, plus the total free throw points.

we have that

1st quarter= 2x-6

2nd quarter = x+2

3rd quarter=2x

4th quarter=x-6

Free throw points =9

therefore

`(2x-6)+(x+2)+2x+(x-6)+9`

Group terms

`(2x+x+2x+x)+(-6+2-6+9)`

Combine like terms

`6x-1`

therefore

The linear expression that represent the total points scored in the game is
`6x-1`