Solving and Graphing One-Step Inequalities for 6th Graders

1. Sarah has at least 15 apples. If she gives away 3 apples, how many apples does she have left? Solve the inequality and graph it on a number line.

• At least 10 apples left.

• At least 20 apples left.

• At least 5 apples left.

• At least 12 apples left.

2. A school requires at least 20 students to sign up for a trip. If 5 students have signed up, how many more need to sign up? Write the inequality and solve it.

• 15

• 30

• 25

• 10

3. Tom wants to save more than $50 for a video game. If he currently has $20, how much more does he need to save? Write and solve the inequality.

• More than $40

• Less than $30

• Exactly $50

• More than $30

4. A box can hold no more than 30 toys. If there are already 12 toys in the box, how many more can be added? Write the inequality and graph it.

• 15

• 25

• 18

• 10

5. Lisa needs to read at least 5 books this month. If she has read 2 books so far, how many more does she need to read? Solve the inequality and represent it on a number line.

• 6

• 4

• 3

• 2

6. A concert hall can seat a maximum of 200 people. If 150 tickets have been sold, how many more can be sold? Write the inequality and solve it.

• 75

• 25

• 50

• 100

7. A recipe requires at least 3 cups of flour. If you have 1 cup, how many more cups do you need? Write the inequality and graph it on a number line.

• You need 3 more cups of flour.

• You need at least 2 more cups of flour.

• You need 4 more cups of flour.

• You need 1 more cup of flour.

8. A runner wants to run more than 10 miles this week. If he has already run 4 miles, how many more miles does he need to run? Solve the inequality and represent it graphically.

• More than 6 miles

• More than 8 miles

• Less than 6 miles

• Exactly 6 miles

9. A library has at least 100 books. If 25 books are checked out, how many books are left? Write the inequality and solve it.

• At least 50 books are left.

• At least 75 books are left.

• At least 100 books are left.

• At least 80 books are left.

10. A farmer has at least 50 chickens. If he sells 10, how many does he have left? Write the inequality and graph it on a number line.

• At least 50 chickens left.

• At least 40 chickens left.

• At least 20 chickens left.

• At least 30 chickens left.