WorksheetsGraphing and Interpreting Inequalities in Daily Life
Total questions: 9
Worksheet time: 5mins
1. Sarah has at least $50 to spend on a new video game. Graph the inequality on a number line and interpret the symbol.
x > 50
x < 50
x = 50
x >= 50
2. A school club needs at least 15 members to start. If they currently have 10 members, graph the inequality representing the number of additional members needed.
x < 5
x >= 5
x = 5
x <= 10
3. A recipe requires no more than 3 cups of sugar. If you already have 1 cup, graph the inequality and explain what it means.
You can add no more than 2 cups of sugar.
You can add 1 cup of sugar.
You must use exactly 3 cups of sugar.
You can add 4 cups of sugar.
4. Tom can run a distance of at least 5 miles each week. Graph this inequality on a number line and describe the meaning of the graph.
The graph shows a closed circle at 5 and shading to the right, representing all distances greater than or equal to 5 miles.
The graph shows an open circle at 5 and shading to the right, representing all distances greater than 5 miles.
The graph shows a closed circle at 5 and shading to the left, representing all distances less than or equal to 5 miles.
The graph shows an open circle at 5 and shading to the left, representing all distances less than 5 miles.
5. A concert venue can hold a maximum of 200 people. If 150 tickets have been sold, graph the inequality for the number of additional tickets that can be sold.
x <= 50
x < 50
x >= 50
x = 150
6. A car can travel no more than 300 miles on a full tank. If it has already traveled 120 miles, graph the inequality and interpret the result.
x < 180
x >= 300
x = 120
x <= 180, where x is the distance left to travel.
7. A student needs to score at least 75% on a test to pass. If they scored 60%, graph the inequality representing the scores needed to pass.
x > 80
x >= 75
x = 60
x < 75
8. A factory produces at least 100 toys each day. Graph the inequality on a number line and explain what the graph indicates about production.
x ≥ 100
x ≤ 100
x = 100
x < 100
9. A marathon runner aims to complete the race in under 4 hours. If they have already run for 2.5 hours, graph the inequality and interpret it.
t < 1.5 hours
t > 1 hour
t < 2 hours
t = 1.5 hours
