Grade 8 Polynomial Word Problems: Area, Volume & Evaluation

A gardener has a rectangular garden with a length of (2x + 3) meters and a width of (x - 1) meters. What is the area of the garden in square meters?

• 2x^2 + x - 3

• x^2 + 5x + 6

• 4x + 3

• 2x^2 - 3x + 5

If a box has a volume represented by the polynomial (3x^2 + 5x - 2) cubic meters, and the height is (x + 1) meters, what is the polynomial expression for the base area of the box?

• 3x^2 + 5 - 2x

• 5x - 2 + rac{3}{x + 1}

• 2x + 3 + rac{2}{x + 1}

• 3x + 2 - \frac{4}{x + 1}

A school is organizing a fundraiser. They plan to sell (4x + 10) chocolate bars and (3x - 5) bags of cookies. How many items will they sell in total?

• 7x + 15

• 4x + 5

• 7x + 5

• 3x + 10

A car rental company charges a flat fee of (x^2 + 20) dollars plus (15x - 5) dollars per day. Write a polynomial expression for the total cost of renting a car for x days.

• 15x^2 + 20

• 16x^2 - 5x + 20

• x^2 + 15x - 5

• 30x - 5

A farmer has (5x^2 - 3x + 2) apples and gives away (2x^2 + x - 4) apples to a local charity. How many apples does the farmer have left?

• 3x^2 - 4x + 6

• 3x^2 + 2x + 8

• 5x^2 - 2x - 2

• 2x^2 - 4x + 4

The perimeter of a rectangular pool is represented by the polynomial (6x + 14) meters. If the length is (2x + 5) meters, what is the width of the pool?

• x + 2

• 2x + 5

• x + 5

• 3x + 4

A bookstore has (x^2 + 4x + 4) books in stock. If they sell (x + 2) books, how many books remain in the store?

• (x + 2)(x + 1)

• (x^2 + 2x)

• (x + 2)(x + 3)

• (x^2 + 4x + 2)

A recipe requires (3x^2 + 2x - 1) cups of flour. If you want to make half the recipe, how much flour will you need?

• (3/4)x^2 + x + 1

• (3/2)x^2 + x - 0.5

• (6x^2 + 4x - 2)

• (3x^2 + 2x - 1)

A concert hall has (x^2 - 4x + 4) seats. If (x - 2) seats are reserved, how many seats are available for the public?

• (x - 3)(x - 3)

• (x - 2)(x - 1)

• (x - 2)(x - 3)

• (x - 4)(x - 2)

A rectangular field has a length of (x + 3) meters and a width of (2x - 1) meters. What is the polynomial expression for the area of the field?

• 2x^2 + 6x - 3

• 4x^2 + 5x - 1

• 2x^2 + 5x - 3

• x^2 + 5x + 3