Translate Word Problems into Polynomials: Grade 8 Quiz

A farmer has a rectangular field where the length is 3 meters longer than twice the width. If the width is represented by w, write a polynomial expression for the area of the field and find the area when w = 5 meters.

• 65 square meters

• 40 square meters

• 75 square meters

• 50 square meters

Maria is making a rectangular garden. The length of the garden is 4 meters more than the width. If the width is x, express the area of the garden as a polynomial and calculate the area when x = 6 meters.

• 60 square meters

• 36 square meters

• 72 square meters

• 48 square meters

A school is planning to build a new playground. The length of the playground is 2 meters less than three times the width. If the width is represented by w, write the polynomial for the area and find the area when w = 4 meters.

• 50 square meters

• 20 square meters

• 30 square meters

• 40 square meters

John is designing a rectangular pool. The length is 5 meters longer than the width. If the width is x, create a polynomial expression for the perimeter of the pool and calculate the perimeter when x = 7 meters.

• 30 meters

• 42 meters

• 38 meters

• 25 meters

A rectangular painting has a length that is 2 meters more than three times its width. If the width is w, write a polynomial expression for the length and find the length when w = 3 meters.

• 12 meters

• 8 meters

• 11 meters

• 9 meters

A rectangular box has a length that is 4 meters longer than its width. If the width is represented by w, write a polynomial expression for the volume of the box and calculate the volume when w = 2 meters.

• 24 cubic meters

• 16 cubic meters

• 20 cubic meters

• 30 cubic meters

The length of a rectangular classroom is 6 meters more than twice the width. If the width is x, express the area of the classroom as a polynomial and find the area when x = 5 meters.

• 80 square meters

• 100 square meters

• 90 square meters

• 70 square meters

A rectangular plot of land has a length that is 3 times its width. If the width is w, write a polynomial expression for the area and calculate the area when w = 2 meters.

• 8 square meters

• 10 square meters

• 6 square meters

• 12 square meters

A garden has a length that is 5 meters longer than its width. If the width is represented by x, write a polynomial expression for the perimeter of the garden and find the perimeter when x = 4 meters.

• 20 meters

• 30 meters

• 24 meters

• 26 meters

A rectangular fence is being built around a yard. The length is 3 meters less than four times the width. If the width is w, write a polynomial expression for the area of the yard and calculate the area when w = 3 meters.

• 12 square meters

• 15 square meters

• 27 square meters

• 36 square meters