3/18 Inequalities Word Problems

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75n + 0.75 ≥ 20
• 1.75n + 0.75 ≤ 20
• 0.75n + 1.75 ≥ 20
• 0.75n + 1.75 ≤ 20

Tags

CCSS.7.EE.B.4B

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500
• 30x + 600 ≥ 1,500
• 30x + 600 < 1,500
• 30x + 600 < 1,500

Tags

CCSS.7.EE.B.4B

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

• s < 55
• s > 55
• s ≤ 55
• s ≥ 55

Tags

CCSS.6.EE.B.8

Which sentence represents m > 41?

• Mary’s points, m, totaled more than 41
• Calvin ran no less than 41 miles, m
• The temperature, m, was less than 41°F
• The magazines’ cost, m, was not more than $41.

Tags

CCSS.6.EE.B.8

Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

• 10.25h < 550; less than 54 hours
• 10.25h > 550; greater than 54 hours
• 10.25h ≤ 550; at most 54 hours
• 10.25h ≥ 550; at least 54 hours

What inequality does the number line graph represent?

• x ≤ -4
• x ≥ -4
• x < -4
• x < 4

Tags

CCSS.6.EE.B.8

What inequality does the number line graph represent?

• x≥ 3
• x > 3
• x < -3
• x ≤ 3

Tags

CCSS.6.EE.B.8

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.7.EE.B.4B

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

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 less than or equal to $65?

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

Tags

CCSS.7.EE.B.4B