Exploring One-Step Inequalities in Daily Life Scenarios

1. Sarah has at least 5 apples. If she buys x more apples, write an inequality to represent the total number of apples she has. Solve for x if she wants at least 10 apples.

• x >= 5

• x < 5

• x <= 5

• x > 5

2. A movie theater has a seating capacity of 200. If x is the number of tickets sold, write an inequality to show how many more tickets can be sold. Graph this inequality on a number line.

• x > 200

• x ≤ 200

• x < 200

• x = 200

3. Tom needs to score more than 75% on his test to pass. If he answers x questions correctly out of 100, write an inequality to represent this situation. Solve for x.

• x > 75

• x = 75

• x ≥ 75

• x < 75

4. A store sells notebooks for $2 each. If you have a budget of at least $10, write an inequality to represent how many notebooks (n) you can buy. Solve for n and graph the solution.

• n < 5

• n <= 4

• n >= 5

• n > 5

5. A runner wants to complete a marathon in less than 4 hours. If x is the time in hours, write an inequality to represent this. Solve for x and explain what it means in context.

• x > 4

• x < 4

• x ≤ 4

• x = 4

7. A class has more than 20 students. If x is the number of students currently enrolled, write an inequality to represent this. Solve for x and explain the implications.

• x > 20

• x = 20

• x < 20

• x ≥ 20

8. A recipe requires at least 3 cups of flour. If you have x cups of flour, write an inequality to show how much more you need. Solve for x if you want to make the recipe.

• x = 3

• x >= 3

• x < 3

• x <= 2

9. A car can travel at a speed of at least 60 miles per hour. If x is the speed of the car, write an inequality to represent this. Solve for x and discuss its significance.

• x < 60

• x = 60

• x > 60

• x >= 60

10. A gardener wants to plant at least 15 flowers. If he has already planted x flowers, write an inequality to represent how many more he needs to plant. Solve for x and graph the solution.

• y >= 15 - x

• y <= 15 - x

• y < 15 - x

• y = 15 + x