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Grade 7 | Unit 6 | Lesson 17: Modeling with Inequalities | Practice Problems

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Mathematics

6th Grade

CCSS covered

Grade 7 | Unit 6 | Lesson 17: Modeling with Inequalities | Practice Problems
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6 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

28 students travel on a field trip. They bring a van that can seat 12 students. Elena and Kiran’s teacher asks other adults to drive cars that seat 3 children each to transport the rest of the students. Elena wonders if she should use the inequality \(12+3n>28\) or \(12+3n\geq28\) to figure out how many cars are needed. Kiran doesn’t think it matters in this case. Do you agree with Kiran? Explain your reasoning.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

In the cafeteria, there is one large 10-seat table and many smaller 4-seat tables. There are enough tables to fit 200 students. Write an inequality whose solution is the possible number of 4-seat tables in the cafeteria.

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Tags

CCSS.6.EE.B.8

3.

OPEN ENDED QUESTION

3 mins • 1 pt

5 barrels catch rainwater in the schoolyard. Four barrels are the same size, and the fifth barrel holds 10 liters of water. Combined, the 5 barrels can hold at least 200 liters of water. Write an inequality whose solution is the possible size of each of the 4 barrels.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How are these two problems similar? How are they different?

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Tags

CCSS.8.EE.C.7B

5.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Select all the inequalities that have the same graph as \(x<4\).

\(x<2\)

\(x+6<10\)

\(5x<20\)

\(x-2>2\)

\(x<8\)

Tags

CCSS.6.EE.B.8

6.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

A 200 pound person weighs 33 pounds on the Moon. How much did the person’s weight decrease? By what percentage did the person’s weight decrease?

167 pounds

About 84% (\(167 \div 200 = 0.835\))

Tags

CCSS.6.RP.A.3C

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