Distributing Polynomials: Real-Life Applications in Grade 8

A gardener is planting flowers in a rectangular garden. The length of the garden is represented by the polynomial (2x + 3) meters, and the width is (x + 4) meters. What is the area of the garden in terms of x?

• 2x^2 + 8x + 12

• 2x^2 + 7x + 12

• 2x^2 + 11x + 10

• 2x^2 + 11x + 12

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

• 6x^3 + 30x^2 + 25x

• 6x^3 + 34x^2 + 20x

• 4x^3 + 20x^2 + 10x

• 5x^3 + 30x^2 + 15x

A school is organizing a fundraiser. They sell (x + 3) chocolate bars and (2x + 1) bags of cookies. How many items did they sell in total?

• 2x + 1

• x + 3

• 3x + 1

• 3x + 4

A rectangular pool has a length of (4x + 1) meters and a width of (x + 2) meters. What is the expression for the perimeter of the pool?

• 6x + 8

• 12x + 6

• 8x + 4

• 10x + 6

A farmer is planting two types of crops. The first crop covers (x^2 + 2x) acres, and the second crop covers (3x + 4) acres. How many acres do both crops cover together?

• x^2 + 6x + 4

• x^2 + 3x + 4

• x^2 + 5x + 4

• 3x^2 + 2x + 4

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

• 7x^2 + 3

• 8x^2 - 5

• 12x - 3

• 10x^2 - x - 3

A toy store sells (x + 2) types of dolls and (3x - 1) types of action figures. How many types of toys does the store sell in total?

• 3x + 2

• 4x + 1

• 4x - 1

• 2x + 3

A recipe requires (2x + 5) cups of flour and (x + 3) cups of sugar. How many cups of ingredients are needed in total?

• 3x + 5

• x + 3

• 2x + 5

• 3x + 8

A car rental company charges (x + 20) dollars per day and (2x + 10) dollars for insurance. What is the total cost for one day of rental and insurance?

• x + 40

• 2x + 20

• 3x + 30

• 3x + 10

A construction project requires (3x + 4) tons of cement and (x + 6) tons of sand. How much material is needed in total?

• 3x + 8 tons

• 2x + 10 tons

• 4x + 10 tons

• 5x + 6 tons