Adding Integers Word Problems Worksheet - Free Printable

Let’s solve each question one by one, step by step.

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Question 1:

Rohan started with up to 500 points. That means his starting score is 500.

Then he scored -100 in the words category. “Scored -100” means we subtract 100 from his current score.

So:

> 500 + (-100) = 500 – 100 = 400

His new score is 400.

✔ Check: Starting at 500, losing 100 points → ends at 400. Makes sense.

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Question 2:

Kamla started at 5,000 feet above sea level.

She ended at 5,000 feet above sea level.

Change in elevation = Final elevation – Starting elevation

> 5,000 – 5,000 = 0

So her change in elevation is 0 feet.

That means she didn’t go up or down overall — maybe she went up and then back down, but net change is zero.

✔ Check: Same start and end point → no change → integer is 0.

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Question 3:

We need to check if these statements are always true, sometimes true, or always false.

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Part a:
*“If a positive is subtracted from a negative integer, the difference is a negative integer.”*

Let’s test with examples.

Example 1:
Start with -5 (negative), subtract +3 (positive):
> -5 – 3 = -8 → still negative ✔

Example 2:
Start with -2, subtract +1:
> -2 – 1 = -3 → still negative ✔

Can we ever get a positive or zero? Try:

What if we subtract a very small positive from a large negative? Still negative.

Actually, whenever you take away something positive from a negative number, it gets more negative.

So this statement is always true.

Wait — let me double-check.

Is there any case where subtracting a positive from a negative gives a non-negative result?

Suppose: -1 – (+0.5) = -1.5 → still negative.

Even if you subtract zero? But zero isn’t positive. The statement says “a positive”, so we’re subtracting something > 0.

So yes — always makes it more negative.

✔ So part a is always true.

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Part b:
*“If a positive integer is subtracted from a positive integer, the difference is a positive integer.”*

Test with examples.

Example 1:
5 – 3 = 2 → positive ✔

Example 2:
3 – 5 = -2 → negative ✘

Oh! So here, we subtracted a larger positive from a smaller positive → got negative.

Another example:
4 – 4 = 0 → not positive (zero is not positive)

So sometimes the result is positive, sometimes negative, sometimes zero.

Therefore, the statement is sometimes true.

✔ Confirmed: Only true when the first number is bigger than the second.

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Final Answers:

Question 1: 400
Question 2: 0
Question 3a: Always true
Question 3b: Sometimes true

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Final Answer:
Question 1: 400
Question 2: 0
Question 3a: Always true
Question 3b: Sometimes true