Solve Multi-Step Inequalities word problems

Solve Multi-Step Inequalities word problems

Assessment

Assessment

Created by

Casey Bowman

Mathematics

7th - 8th Grade

2 plays

Hard

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7 questions

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1.

Multiple Choice

5 mins

1 pt

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.

2.

Multiple Choice

5 mins

1 pt

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

3.

Multiple Choice

5 mins

1 pt

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.

4.

Multiple Choice

5 mins

1 pt

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.

5.

Multiple Choice

5 mins

1 pt

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

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