Math Problem Statement

Just a moment: A football team gained 8 yards on its first play. On its second play, the team was pushed back to its original position before the first play. Which integer best represents the number of yards the team gained on its second play?

Solution

The problem in the image reads as follows:


"Just a moment: A football team gained 8 yards on its first play. On its second play, the team was pushed back to its original position before the first play. Which integer best represents the number of yards the team gained on its second play?"

  • A) -8
  • B) -16
  • C) 0
  • D) 8

Solution:

  1. First Play: The team gained 8 yards.

  2. Second Play: The team was pushed back to its original position before the first play.

    This means the team lost the 8 yards it initially gained. The best integer to represent this loss would be -8.

Therefore, the correct answer is A) -8.


Do you want any further details or have any questions? Here are five related questions you might find interesting:

  1. If the team gained 8 yards again after being pushed back, what would be the net yardage?
  2. How do we represent gains and losses in yards using positive and negative integers?
  3. If the team had lost 5 more yards after the second play, what would their total yardage be?
  4. How would you describe a sequence of plays where the team keeps alternating between gaining and losing the same amount of yards?
  5. What would be the total yardage after four plays if they alternated between gaining and losing 8 yards each time?

Tip: When solving word problems involving integers, carefully track the direction of movement (gain vs. loss) and the initial reference point to avoid confusion.

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Math Problem Analysis

Mathematical Concepts

Integers
Addition and Subtraction of Integers
Word Problems

Formulas

None - Conceptual understanding of positive and negative integers

Theorems

None - Basic integer operations are used

Suitable Grade Level

Grades 5-7