Q:

# Write a linear expression in simplest form to represent total field goal points scored in the first two quarters.1st quarter= 2x-62nd quarter = x+2

Accepted Solution

A:
Answer: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 $$6x-1$$Step-by-step explanation:Part A) we know thatTo 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 quarterwe have that1st quarter= 2x-62nd quarter = x+2therefore$$(2x-6)+(x+2)$$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 thatTo 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 that1st quarter= 2x-62nd quarter = x+23rd quarter=2x4th quarter=x-6Free throw points =9therefore$$(2x-6)+(x+2)+2x+(x-6)+9$$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 $$6x-1$$