Grade 6 Inequality Story Problems

Grade 6 Inequality Story Problems

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.

6. The inequality 'y ≥ 10' means 'y' is greater than or equal to 10.

Complete the following sentences.

7. The symbol '>' means  .

8. An inequality uses a   sign instead of an equal sign.