Story problems for Inequalities

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

• X < 5
• X > 5
• X ≥ 5
• X ≤ 5

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

A student must be at least 15 years old to obtain a driver’s permit.

• x > 15
• x < 15 
• x ≤ 15
• x ≥ 15

Tags

CCSS.6.EE.B.8

To order from the kids menu a person must be no more than 12 years old.

• x > 12
• x < 12
• x ≥ 12
• x  ≤ 12

Tags

CCSS.6.EE.B.8

You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds.Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.

• X ≤ 169 
• X < 169
• X < 156
• X > 156 

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping. 

• X > 5.05
• X ≥ 5. 05
• X > 69.95
• X ≥ 69.95

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

You bike for 2 hours at a speed no faster than 17.6 miles per hour. Write and solve an inequality that represents the possible numbers of miles you bike.

• X ≤ 17.6
• X ≥ 17.6 
• X ≥ 35.2 
• X ≤ 35.2

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Which of the following inequalities would require you to flip the sign when solving?

• 2x < 3
• 3x > - 9
• -4x ≥ 10
• 5x ≤ 15

Tags

CCSS.6.EE.B.8

My brother is 2 years older than I am. He is 18 years old. Which equation represents how old I am? 

• m - 2 = 18
• m + 2 = 18
• 2m = 18
• m/2 = 18

Tags

CCSS.HSA.CED.A.3

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding? 

• 30 + s ≥ 45
• 30 - s ≥ 45
• 30 + s ≤ 45
• 30 - s ≤ 45

Tags

CCSS.7.EE.B.4B

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.

• 1.75 + 0.65m < 10
• 1.75 + 0.65m > 10
• 1.75m + 0.65 < 10
• 1.75m + 0.65 > 10

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8