Integer Word Problems Worksheet With Answers – Add & Subtract!
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Integer word problems can be challenging yet fun! They often require us to think critically and apply our understanding of addition and subtraction to real-world scenarios. In this article, we will explore various integer word problems, providing answers and explanations that can help enhance your skills. Let's dive into the world of integers and see how we can effectively tackle these problems! 📊
Understanding Integers
Integers are whole numbers that can be positive, negative, or zero. For instance:
- Positive integers: 1, 2, 3, ...
- Negative integers: -1, -2, -3, ...
- Zero: 0
When working with integers in word problems, you'll typically encounter scenarios that involve adding and subtracting these numbers to find a solution. Let's break down how to approach these problems effectively.
Strategies for Solving Integer Word Problems
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Read the Problem Carefully: Ensure you understand what is being asked. Identify the important information and the question that needs to be answered.
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Identify Keywords: Look for keywords that indicate mathematical operations, such as:
- Addition: combined, more than, total, in all, increase
- Subtraction: less than, fewer, decrease, take away, remain
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Set Up the Equation: Once you have the necessary information, set up a mathematical equation based on the identified keywords.
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Solve the Equation: Perform the addition or subtraction as required.
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Check Your Work: Review your answer to ensure it makes sense in the context of the problem.
Sample Integer Word Problems
Here are a few integer word problems along with their answers and explanations.
Problem 1: Temperature Change
Question: The temperature outside was -5°C in the morning. By noon, the temperature rose by 8 degrees. What is the temperature now?
Solution:
- Initial temperature = -5°C
- Temperature increase = +8°C
Set up the equation: [ -5 + 8 = 3 ] The new temperature is 3°C. 🌡️
Problem 2: Bank Balance
Question: Sarah had $50 in her bank account. She withdrew $20 and then deposited $15. What is her current balance?
Solution:
- Initial balance = $50
- Amount withdrawn = -$20
- Amount deposited = +$15
Set up the equation: [ 50 - 20 + 15 = 45 ] Sarah's current balance is $45. 💵
Problem 3: Elevation Change
Question: A mountain trail starts at an elevation of 1200 meters. If a hiker climbs up 300 meters and then descends 450 meters, what is the hiker's final elevation?
Solution:
- Starting elevation = 1200 meters
- Elevation increase = +300 meters
- Elevation decrease = -450 meters
Set up the equation: [ 1200 + 300 - 450 = 1050 ] The hiker's final elevation is 1050 meters. 🏔️
Problem 4: Sports Points
Question: In a basketball game, Team A scored 78 points. Team B scored 85 points. What is the point difference between the two teams?
Solution:
- Team A's score = 78
- Team B's score = 85
Set up the equation: [ 85 - 78 = 7 ] The point difference is 7 points, with Team B winning. 🏀
Integer Word Problems Worksheet
To practice these types of problems, here’s a simple worksheet you can use. Try solving the problems on your own before checking the answers!
| Problem | Description |
|---|---|
| 1 | A submarine is at -300 meters below sea level. It ascends 150 meters. What is its new depth? |
| 2 | Tim scored 20 points in the first half and 25 points in the second half of the game. What was his total score? |
| 3 | Emma had $100. She spent $35 on a book and received $20 as a gift. What is her current amount of money? |
| 4 | The temperature is 10°C. If it drops by 15 degrees, what is the new temperature? |
Answers to the Worksheet
| Problem | Answer |
|---|---|
| 1 | -150 meters |
| 2 | 45 points |
| 3 | $85 |
| 4 | -5°C |
Tips for Success
- Practice Regularly: Regular practice with integer word problems will help improve your problem-solving skills.
- Use Visual Aids: Drawing a number line or diagram can help visualize problems better, especially for more complex scenarios.
- Stay Positive: Developing mathematical skills takes time, so be patient with yourself and maintain a positive attitude! 🌟
By understanding the structure of integer word problems and practicing with various examples, you will enhance your mathematical abilities and confidence. Whether in school or day-to-day life, mastering these skills will benefit you in countless ways! Happy problem-solving!