Grade 6 Inequality Story Problems
Solve real-world problems involving inequalities, identifying variables, writing inequality statements, and graphing solutions on a number line.
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Grade 6 Inequality Story Problems
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Read each story problem carefully. Write an inequality to represent the situation, solve the inequality if necessary, and then graph the solution on a number line.
1. Sarah wants to buy a new video game that costs $45. She has already saved $20. How much more money, 'm', does she need to save?
Write an inequality:
Solve the inequality:
Graph the solution on the number line:
2. A school bus can hold a maximum of 60 students. If there are already 35 students on the bus, how many more students, 's', can get on the bus?
Write an inequality:
Solve the inequality:
Graph the solution on the number line:
3. A recipe calls for at least 3 cups of flour. If you have already added 1 cup, how many more cups of flour, 'f', do you need?
Write an inequality:
Solve the inequality:
Graph the solution on the number line:
4. The temperature in the freezer must be no more than -10°C. If the current temperature is -5°C, by how many degrees, 'd', must the temperature decrease?
Write an inequality:
Solve the inequality:
Graph the solution on the number line:
Determine if the following statements are True or False.
5. If 'x' is less than 7, then 'x' could be 7.
True
False
6. The inequality 'y ≥ 10' means 'y' is greater than or equal to 10.
True
False
Complete the following sentences.
7. The symbol '>' means .
8. An inequality uses a sign instead of an equal sign.