Solving Real-Life Inequalities: Word Problems & Graphs

2. A movie theater has a maximum capacity of 200 people. If there are currently 150 people inside, how many more can enter? Write the inequality and graph it.

• 50

• 25

• 75

• 100

3. Tom needs to save at least $50 for a video game. If he currently has $30, how much more does he need to save? Write the inequality and graph it on a number line.

• Tom needs to save at least $10 more.

• Tom needs to save at least $25 more.

• Tom needs to save at least $20 more.

• Tom needs to save at least $15 more.

5. A recipe calls for no more than 2 cups of sugar. If you have already added 1.5 cups, how much more can you add? Write the inequality and graph it on a number line.

• 0.5 cups

• 2 cups

• 1 cup

• 0 cups

6. Lisa wants to read at least 10 books this year. If she has read 4 books so far, how many more does she need to read? Write the inequality and graph it.

• Lisa needs to read at least 6 more books.

• Lisa needs to read at least 7 more books.

• Lisa needs to read at least 8 more books.

• Lisa needs to read at least 5 more books.

7. A car can hold a maximum of 5 passengers. If there are already 3 passengers, how many more can get in? Write the inequality and graph it on a number line.

• 2

• 4

• 3

• 1

8. A store is having a sale where you can buy at least 3 items to get a discount. If you have already bought 2 items, how many more do you need to buy? Write the inequality and graph it.

• 2

• 4

• 3

• 1

9. A gardener wants to plant at least 20 flowers. If he has already planted 12, how many more does he need to plant? Write the inequality and graph it on a number line.

• 8

• 5

• 10

• 15

10. A student needs to score at least 70% on a test to pass. If they scored 55% so far, what score do they need on the remaining questions? Write the inequality and graph it.

• x <= (0.70 * total_questions - 0.55 * completed_questions) / remaining_questions

• x = (0.70 * total_questions + 0.55 * completed_questions) / remaining_questions

• x < (0.70 * total_questions - 0.55 * completed_questions) / remaining_questions

• x >= (0.70 * total_questions - 0.55 * completed_questions) / remaining_questions