Grade 10 Inequality Word Problems
This worksheet focuses on solving real-world problems using linear inequalities, including setting up inequalities and interpreting solutions on a number line.
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Grade 10 Inequality Word Problems
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Read each word problem carefully. Write an inequality to represent the situation and solve it. Show your work and graph the solution on a number line when requested.
1. A carnival charges an admission fee of $10 and $2 for each ride. If you have $30 to spend, what is the maximum number of rides you can go on?
Write an inequality:
Solve the inequality:
Answer:
2. You are saving money to buy a new smartphone that costs at least $450. You currently have $120 saved and can save $30 per week. How many weeks will it take you to save enough money?
Write an inequality:
Solve the inequality:
Answer:
3. A company's profit P (in thousands of dollars) for selling x units of a product is given by the inequality P > 5x - 100. If the company wants to make a profit of at least $20,000, what is the minimum number of units they must sell?
Write an inequality:
Solve the inequality:
Answer:
4. The temperature in a city is currently 15°C. It is forecast to drop by 2°C every hour. If the temperature needs to stay above 5°C, for how many hours can the temperature drop?
Write an inequality:
Solve the inequality:
Graph the solution on the number line below:
Answer:
5. A movie ticket costs $9.50. You have $50 and want to buy popcorn for $7. Which inequality represents the number of movie tickets (t) you can buy?
9.50t + 7 < 50
9.50t + 7 <= 50
9.50t + 7 > 50
9.50t + 7 >= 50