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.
Includes
Standards
Topics
Grade 10 Inequality Word Problems
Name:
Date:
Score:
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
Related Worksheets
Radical Operations Worksheet
Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.
Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 10 Algebra students.
Perfect Square Trinomials Worksheet
This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.
Mathematical Proofs: Introduction and Basic Techniques
This worksheet introduces fundamental concepts and techniques in mathematical proofs, suitable for Grade 10 students.
Three-Step Equations Worksheet
Solve three-step algebraic equations involving various operations for Grade 10 students.
Rearranging Equations Worksheet
A Grade 10 Math worksheet focused on rearranging algebraic equations to solve for specific variables.
Zero Product Property Worksheet
Practice applying the Zero Product Property to solve quadratic equations and other polynomial equations.
Parts of an Expression Review
This worksheet helps Grade 10 students identify and understand the different parts of algebraic expressions, including terms, coefficients, variables, and constants.