Solving One-Step Inequalities in Everyday Scenarios

1. Sarah has x candies. If she buys 5 more, she will have at least 12 candies. Write and solve the inequality: x + 5 ≥ 12.

• x < 7

• x = 12

• x ≤ 5

• x ≥ 7

2. A book costs y dollars. If you have 15 dollars, how much more can you spend without exceeding the cost of the book? Write the inequality: 15 - y ≥ 0.

• y ≤ 15

• y < 15

• y = 15

• y > 15

3. Tom is x years old. If he is 3 years younger than his brother, who is at least 10 years old, write and solve the inequality: x + 3 ≥ 10.

• x = 8

• x ≥ 7

• x ≤ 5

• x < 7

4. A box can hold z toys. If you already have 8 toys, how many more can you add without exceeding the box's capacity of 20 toys? Write the inequality: 8 + z ≤ 20.

• 15

• 5

• 12

• 10

5. Lisa scored m points in a game. If she needs at least 50 points to win a prize, write and solve the inequality: m + 10 ≥ 50.

• m = 40

• m > 50

• m ≥ 40

• m ≤ 30

6. A car can travel n miles on a full tank. If it has already traveled 150 miles, how many more miles can it travel without running out of gas if the tank holds 400 miles? Write the inequality: 150 + n ≤ 400.

• 250

• 100

• 400

• 300

7. A concert ticket costs p dollars. If you have 30 dollars, how much can you spend on a ticket without going over your budget? Write the inequality: 30 - p ≥ 0.

• p = 30

• p ≥ 30

• p ≤ 30

• p < 30

8. A student has q homework assignments. If they complete 4 assignments, how many more can they complete to have at least 10 done? Write the inequality: q + 4 ≥ 10.

• 5

• 3

• 6

• 2

9. A plant needs r liters of water. If you have already given it 2 liters, how much more can you give it without overwatering it if it needs 5 liters total? Write the inequality: 2 + r ≤ 5.

• 6 liters

• 4 liters

• 1 liter

• 3 liters

10. A runner has run s miles this week. If they want to run at least 20 miles, how many more miles do they need to run? Write and solve the inequality: s + 5 ≥ 20.

• 10 miles

• 15 miles

• 5 miles

• 25 miles