Question

A soccer team scored 2 goals in the first half. If they won the game by a score of 2 goals to 1 goal, how many goals did they score in the second half? Tell which property you used. Explain your thinking to a friend.

a) 1 goal, Identity Property
b) 2 goals, Associative Property
c) 3 goals, Commutative Property
d) 2 goals, Inverse Property

Answer 1

The soccer team scored 0 goals in the second half, but given the options provided, the Identity Property is the principle that would apply if 1 goal were the answer since adding 0 goals leaves the score from the first half unchanged.

Thus, the correct option is a.

Step-by-step explanation:

The question is about figuring out how many goals a soccer team scored in the second half of a game given the information that they scored 2 goals in the first half and won the game by a score of 2 goals to 1. To find the answer, we can use the fact that the total number of goals scored by the team in the whole game is known.

Since they scored 2 goals in the first half and won with a total score of 2 goals, it means they did not score any additional goals in the second half. Thus, the correct option is:

a) 1 goal, Identity Property

In fact, this is a trick question because since they scored 2 goals in the first half and won the game 2 to 1, the team scored 0 goals in the second half. However, if we must choose from the provided options, Identity Property is the closest in principle, as it would imply that adding zero (the number of goals scored in the second half) to something (the first half score) leaves it unchanged.