Algebra 2 | Unit 2 | Lesson 1: Let’s Make a Box | Practice Problems

Algebra 2 | Unit 2 | Lesson 1: Let’s Make a Box | Practice Problems

6th Grade

10 Qs

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Algebra 2 | Unit 2 | Lesson 1: Let’s Make a Box | Practice Problems

Algebra 2 | Unit 2 | Lesson 1: Let’s Make a Box | Practice Problems

Assessment

Quiz

Mathematics

6th Grade

Practice Problem

Easy

CCSS
HSA.CED.A.1, HSG.GPE.B.7, HSF.IF.A.1

+11

Standards-aligned

Created by

Illustrative Mathematics

Used 1+ times

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10 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

A rectangular schoolyard is to be fenced in using the wall of the school for one side and 150 meters of fencing for the other three sides. The area \(A(x)\) in square meters of the schoolyard is a function of the length \(x\) in meters of each of the sides perpendicular to the school wall. Write an expression for \(A(x)\).

Evaluate responses using AI:

OFF

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the area of the schoolyard when \(x=40\)?

Evaluate responses using AI:

OFF

Tags

CCSS.HSG.GPE.B.7

3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is a reasonable domain for \(A\) in this context?

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

4.

OPEN ENDED QUESTION

3 mins • 1 pt

Media Image

Noah finds an expression for \(V(x) \) that gives the volume of an open-top box in cubic inches in terms of the length \(x\) in inches of the cutout squares used to make it. This is the graph Noah gets if he allows \(x\) to take on any value between -1 and 5. What would be a more appropriate domain for Noah to use instead?

Evaluate responses using AI:

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Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the approximate maximum volume for his box?

Evaluate responses using AI:

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Tags

CCSS.HSG.GMD.A.3

6.

OPEN ENDED QUESTION

3 mins • 1 pt

Mai wants to make an open-top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard is 10 centimeters by 10 centimeters. The volume \(V(x)\) in cubic centimeters of the open-top box is a function of the side length \(x\) in centimeters of the square cutouts. Write an expression for \(V(x)\).

Evaluate responses using AI:

OFF

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the volume of the box when \(x=3\)?

Evaluate responses using AI:

OFF

Tags

CCSS.6.EE.A.2C

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