Inequalities: Word Problems

Match the inequality to the word problem.
Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

• 25 - 12x ≥ 200
• 25 + 12x ≥ 200
• 13x ≥ 200
• 25 + 12x > 200

Tags

CCSS.7.EE.B.4B

Write an inequality for the situation:
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to no more than $65?

• 10x + 65 ≥ 40
• 4x + 10 ≤ 65
• 4x - 10 ≤ 65
• 65 + 4x ≥ 40

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. How far can she go?

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

Tags

CCSS.7.EE.B.4B

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

• 6x + 8 > 42
• 8x + 6 ≤ 42
• 6x + 8 ≥ 42
• 8x + 6 < 42

Tags

CCSS.7.EE.B.4B

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.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $65.95. Write and solve an inequality that represents how much more you must spend to get free shipping. 

• 65.95 + x > 75
• 65.95 + x ≥ 75
• 75 - 65.95 > x
• 65.95x ≥ 75

Tags

CCSS.7.EE.B.4B

You bike at a speed no faster than 17.6 miles per hour. Write and solve an inequality that represents how long you must ride in order to go 70 miles.

• 17.6h < 70
• 17.6 + h ≥ 70 
• h/17.6 ≥ 70 
• 17.6h ≤ 70

To qualify for an award, a student volunteers no less than 25 hours each month at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

• 30w < 25
• 7w > 25
• 4w ≥ 25
• 4w ≤ 25

Tags

CCSS.6.EE.B.8

6. Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell? 

• x/5.50 ≥ 5225
• 5.50x ≥ 5225
• x + 5.50 ≤ 5225 
• x - 5.50 ≤ 5225

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3