Word Problems for Addition and Subtraction of Integers

Word problems involving addition and subtraction of integers can be challenging for students. However, with practice and understanding of the concepts, they can become proficient in solving these problems. Here are some examples of word problems for addition and subtraction of integers:

1. Example: A hiker climbs up a mountain for 250 meters and then descends 150 meters. What is the total change in elevation?

Solution:
- The hiker climbs up the mountain, which is a positive change in elevation (+250 meters).
- The hiker then descends, which is a negative change in elevation (-150 meters).
- To find the total change in elevation, we need to add the positive change (+250) and the negative change (-150).
- Therefore, the total change in elevation is 250 + (-150) = 100 meters.

2. Example: A football team gains 10 yards on one play and then loses 5 yards on the next play. What is their net gain or loss in yards?

Solution:
- The football team gains 10 yards, which is a positive change (+10 yards).
- The football team then loses 5 yards, which is a negative change (-5 yards).
- To find the net gain or loss in yards, we need to add the positive change (+10) and the negative change (-5).
- Therefore, the net gain or loss in yards is 10 + (-5) = 5 yards.

3. Example: A bank account has a balance of $500. The account owner deposits $200 and then withdraws $150. What is the final balance of the account?

Solution:
- The account owner deposits $200, which is a positive change (+$200).
- The account owner then withdraws $150, which is a negative change (-$150).
- To find the final balance of the account, we need to add the positive change (+$200) and the negative change (-$150) to the initial balance of $500.
- Therefore, the final balance of the account is $500 + $200 + (-$150) = $550.

These examples demonstrate how to solve word problems involving addition and subtraction of integers. By identifying the positive and negative changes, students can apply the appropriate operations to find the final result. Practice with various word problems will strengthen their understanding and problem-solving skills in this area.

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