Understand Additive Inverse
Tony plays running back for his football team. During a football game, Tony gained six yards on the first play. Then he lost eight yards on the second play.
Question 1
How many yards does Tony need on the third play to get the team back to where they started before the first play?
Responses
A 1 yard1 yard
B 2 yards2 yards
C 3 yards3 yards
D 4 yards4 yards
Question 2
Suppose Tony loses 3 yards on the third play. How many yards does Tony need now on the fourth play to get the team back to where they started before the first play?
Responses
A 2 yards2 yards
B 3 yards3 yards
C 4 yards4 yards
D 5 yards5 yards
Question 1:
To get back to where they started before the first play, Tony would need to gain 6 yards and then lose 8 yards. Therefore, he would need a total of 6 + (-8) = -2 yards.
Answer: Tony needs -2 yards on the third play.
Question 2:
If Tony loses 3 yards on the third play, he would already be at -2 yards. To get back to where they started before the first play, Tony would need to gain 6 yards and then lose 8 yards again. Therefore, he would need a total of 6 + (-8) = -2 yards.
Answer: Tony needs -2 yards on the fourth play.