Search Header Logo

Real-Life Polynomial Problems: Area and Volume Challenges

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Real-Life Polynomial Problems: Area and Volume Challenges
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

    Content View

    Student View

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular garden has a length of (2x + 3) meters and a width of (x + 4) meters. What is the area of the garden in terms of x?

2x^2 + 8x + 12

2x^2 + 7x + 12

x^2 + 11x + 12

2x^2 + 11x + 12

Tags

CCSS.HSA.APR.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A box has a length of (x + 5) cm, a width of (2x - 1) cm, and a height of (3x + 2) cm. What is the volume of the box expressed as a polynomial?

6x^3 + 31x^2 + 3x - 10

7x^3 + 30x^2 - 3x + 12

4x^3 + 25x^2 + 2x + 1

5x^3 + 20x^2 + 15x - 5

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A farmer wants to plant two types of crops in a field. The first crop occupies an area represented by (x^2 + 2x) square meters, and the second crop occupies (3x + 4) square meters. What is the total area occupied by both crops?

x^2 + 2x + 3

3x^2 + 4x

x^2 + 3x + 4

x^2 + 5x + 4

Tags

CCSS.HSA.APR.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular swimming pool has a length of (3x + 2) meters and a width of (x + 1) meters. If the pool is surrounded by a deck that is 2 meters wide, what is the area of the deck in terms of x?

x^2 + 5x + 12

2x^2 + 8x + 18

3x^2 + 6x + 15

4x^2 + 10x + 20

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular poster has a height of (x + 3) inches and a width of (2x + 1) inches. If the poster is framed with a border that is 1 inch wide, what is the area of the framed poster?

2x^2 + 10x + 12

x^2 + 6x + 8

3x^2 + 15x + 20

2x^2 + 13x + 15

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A classroom has a length of (4x - 2) feet and a width of (x + 5) feet. If the school plans to add a new section that is (2x + 3) feet long and (x + 1) feet wide, what will be the total area of the classroom and the new section?

5x^2 + 20x - 5

6x^2 + 23x - 7

4x^2 + 15x - 3

7x^2 + 25x - 10

Tags

CCSS.HSA.APR.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular plot of land has dimensions of (x + 6) meters by (2x - 3) meters. If a fence is built around the plot, what is the polynomial expression for the perimeter of the plot?

4x + 6

2x + 3

8x - 3

6x + 6

Tags

CCSS.HSA.APR.A.1

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?