Graphing Inequalities: Number Line Challenges for Grade 6

1. Sarah has at least 5 apples. If she buys more, how can we represent the number of apples she has on a number line?

• A number line starting at 5 and extending to the left.

• A number line starting at 10 and extending to the right.

• A number line starting at 0 and extending to the left.

• A number line starting at 5 and extending to the right.

2. A box can hold no more than 10 pounds of items. If you have 3 pounds of items, how can you show the maximum weight on a number line?

• Mark 0, 5, and 10 on a number line, with a closed circle at 10.

• Mark 0, 3, and 5 on a number line, with a closed circle at 10.

• Mark 0, 3, and 10 on a number line, with an open circle at 10.

• Mark 0, 3, and 12 on a number line, with an open circle at 12.

3. Tom is at least 12 years old. How would you graph his age on a number line?

• Mark a point at 12 without shading any area.

• Shade the number line starting from 12 and extending to the right.

• Shade the number line starting from 10 and extending to the left.

• Shade the number line starting from 12 and extending to the left.

4. A school requires students to read more than 20 books in a year. If a student has read 15 books, how can we represent the number of books left to read on a number line?

• 10

• 30

• 5

• 25

5. A car can travel no less than 30 miles per gallon. If it currently gets 25 miles per gallon, how can we show the fuel efficiency on a number line?

• A number line with 30 on the left, 25 on the right, and shading to the left of 25.

• A number line with 25 on the left, 30 on the right, and shading between 25 and 30.

• A number line with 25 on the left, 30 on the right, and no shading at all.

• A number line with 25 on the left, 30 on the right, and shading to the right of 30.

6. Lisa needs to score more than 75% on her test to pass. If she has scored 70%, how can we represent her score on a number line?

• On a number line, mark 70% to the left of 75%.

• On a number line, mark 70% to the right of 75%.

• On a number line, mark 70% at the same point as 75%.

• On a number line, mark 75% to the left of 70%.

7. A plant needs at least 6 hours of sunlight each day. If it currently gets 4 hours, how can we graph the sunlight requirement on a number line?

• Graph a number line with a point at 4 and shade to the left.

• Mark 6 on the number line and draw a line to 8.

• Graph a number line with a point at 6 (minimum sunlight needed) and shade to the right.

• Place a point at 6 and shade to the left only.

8. A recipe calls for no more than 2 cups of sugar. If you have already used 1 cup, how can we show the remaining amount on a number line?

• 1.5 cups remaining

• 1 cup remaining

• 2 cups remaining

• 0.5 cups remaining

9. A marathon runner must run at least 15 miles a week. If they have run 10 miles so far, how can we represent their progress on a number line?

• Mark 15 on the number line and indicate that the runner has completed their goal.

• Mark 10 on the number line and indicate that the runner has already exceeded their requirement.

• Mark 10 on the number line and indicate that the runner needs to run 5 more miles.

• Mark 10 on the number line and indicate that the runner needs to reach at least 15.

10. A student must complete more than 8 assignments to pass the course. If they have completed 5, how can we graph the number of assignments left on a number line?

• Only 2 assignments left

• 4 or more assignments left

• 3 or fewer assignments left

• Exactly 8 assignments left