Grade 8 Polynomial Word Problems: Evaluating & Adding Polynomials

A gardener has a rectangular garden with a length represented by the polynomial 3x + 5 and a width represented by 2x - 4. What is the expression for the perimeter of the garden?

• 12x + 10

• 8x + 2

• 6x - 4

• 10x + 2

A school is planning a fundraiser and expects to sell x + 50 tickets for a concert. If each ticket costs $10, what is the polynomial expression for the total revenue from ticket sales?

• 10x + 500

• 5x + 250

• 10x + 50

• 10x + 1000

A box has a volume represented by the polynomial x^3 + 2x^2 - 5x + 10. If the height of the box is x - 2, what is the polynomial expression for the area of the base of the box?

• x^2 - 2x + 8

• x^2 + 4x + 3

• x^2 - 4x + 5

• x^2 + 2x - 10

A car rental company charges a base fee of $50 plus $20 for each day rented. Write a polynomial expression to represent the total cost for renting a car for d days and evaluate it for d = 3.

• 130

• 150

• 90

• 110

A farmer has two fields. The area of the first field is represented by the polynomial 4x^2 + 3x - 7, and the area of the second field is represented by 2x^2 - x + 5. What is the total area of both fields?

• 2x^2 + 3x - 12

• 8x^2 + 2x + 1

• 5x^2 + 4x - 3

• 6x^2 + 2x - 2

A local bakery sells cupcakes for x + 3 dollars each. If they sell 10 cupcakes, what is the polynomial expression for the total sales?

• 5x + 15

• 10x + 30

• x + 3

• 10x + 20

A rectangular swimming pool has a length of 5x + 2 meters and a width of 3x - 1 meters. What is the polynomial expression for the area of the pool?

• 12x^2 + 7x - 3

• 9x^2 + 5x + 1

• 20x^2 - 4x + 5

• 15x^2 + x - 2

A bookstore has a collection of books represented by the polynomial 6x^2 + 4x - 8. If they donate 2x + 3 books, what is the polynomial expression for the remaining books?

• 6x^2 + 4x - 5

• 6x^2 + 2x - 11

• 6x^2 + 4x - 10

• 4x^2 + 2x - 8

A construction company is building a wall with a height represented by the polynomial 2x + 7 and a width represented by x - 3. What is the polynomial expression for the area of the wall?

• 2x^2 + 10

• x^2 + 4x - 21

• 4x + 7

• 2x^2 + x - 21

A toy store has a stock of toys represented by the polynomial 5x^2 - 2x + 4. If they sell 3x - 1 toys, what is the polynomial expression for the remaining toys?

• 5x^2 - 5x + 5

• 5x^2 - 2x + 3

• 4x^2 - 2x + 4

• 5x^2 - 3x + 4