Solve Multi-Step Inequalities word problems

Dave has earned scores of 87, 81, 92, 88, and 83 on the first five of six math tests for the semester. He would like to finish the semester with a test average of at least 90. What score does Dave need to earn on the sixth test in order to achieve his goal?

• $x\ge109$

• $x>109$

• $x\ge86.2$

• $x<86.2$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

The sophomore class is planning a picnic. The cost of a permit to use a city park is $250. To pay for the permit, there is a fee of $0.75 for each sophomore and $1.25 for each guest who is not a sophomore. Two hundred sophomores plan to attend. How many guests must attend for the sophomores to pay for the permit?

• The sophomores need no more than 80 guests.

• The sophomores need more than 320 guests.

• The sophomores need less than 320 guests.

• The sophomores need at least 80 guests.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

A locomotive has a total pulling capacity that cannot exceed 5,000 tons. The locomotive weighs 200 tons. It is pulling 80 railcars that weigh 30 tons, each. How much weight can each railcar carry?

• Exactly 30 tons

• No more than 30 tons

• No more than 95 tons

• Between 30 and 95 tons

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Andrea is in charge of setting up a banquet hall. She has five tables that will seat six people each. If no more than 62 people will attend, how many tables seating four people will she need?

• Exactly 8 tables

• 8 tables or less

• Less than 23 tables

• More than 23 tables.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

A personal trainer charges a one-time fee of $60 plus $25 for each individual session. A fitness club charges a yearly fee of $450 plus $10 for each session with a personal trainer. At what point does it become cheaper to join the gym as opposed to working with only a personal trainer?

Remember there are two sides to every inequality.

• After 26 visits with a trainer.

• After 15 visits with a trainer.

• On the 26th visit.

• It is never cheaper.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

The student council is sponsoring a concert as a fund raiser. Tickets are $3 for students and $5 for adults. The student council wants to raise at least $1,000. If 200 students attend, how many adults must attend?

• between 80 and 320 adults

• 80 adults

• 320 adults

• At least 80 adults

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

21 Pilots pre-covid returned from a successful 4-city tour where they played to over 155,000 fans. They had an audience of 45,000 in St. Louis and an audience of 33,000 in Denver. If Kansas City and Chicago had about the same number of fans in each audience, how many fans attended each of those two shows?

• between 38,500 and 77,000 fans

• over 38,500 fans

• 155,000 fans

• over 77,000 fans

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.A.1

A small airplane must carry less than 3,050 pounds of passengers, luggage and mail. The mail for the day weighs 490 pounds. If there are 10 passengers and the average passenger weighs 185 pounds, how many pounds of luggage can each passenger bring aboard?

• more than 71 lbs of luggage.

• between 71 and 238 lbs of luggage.

• less than 238 lbs of luggage

• less than 71 of luggage.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3