Polynomial Word Problems: Multiplying and Solving for 8th Grade

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

• 4x^2 + 6x - 7

• 6x^2 + 7x - 5

• 5x^2 + 8x - 3

• 7x^2 + 2x - 1

A school is organizing a fundraiser. They sell (4x + 3) chocolate bars and (2x - 5) bags of cookies. How many items did they sell in total?

• 4x - 5

• 6x - 2

• 6x + 2

• 5x - 2

A box contains (5x^2 + 2x - 3) apples and (3x^2 - 4x + 7) oranges. How many pieces of fruit are in the box altogether?

• 8x^2 - 2x + 4

• 5x^2 - 2x + 10

• 3x^2 + 4x + 7

• 6x^2 + 2x + 4

A car rental company charges a base fee of (2x + 10) dollars plus (3x - 2) dollars per day. What is the total cost for renting a car for one day?

• 3x + 10

• 5x + 8

• 4x + 12

• 6x + 5

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

• 2x + 7

• 8x - 6

• 6x + 2

• 4x + 1

A bookstore has (6x + 2) fiction books and (4x - 5) non-fiction books. How many books does the bookstore have in total?

• 8x - 3

• 10x - 3

• 10x + 5

• 2x - 7

A recipe requires (2x^2 + 3x) cups of flour and (x^2 - 2x + 1) cups of sugar. How many cups of ingredients are needed for the recipe?

• 2x^2 + 5x

• 4x^2 - x + 1

• x^2 + 3x + 2

• 3x^2 + x + 1

A concert hall has (3x + 7) rows of seats, and each row has (2x - 1) seats. How many seats are there in total in the concert hall?

• (3x - 7)(2x + 1)

• (3x + 7)(2x + 1)

• (3x + 7) + (2x - 1)

• (3x + 7)(2x - 1)

A company produces (5x^2 - 3x + 4) toys in the first month and (2x^2 + 6x - 1) toys in the second month. How many toys did they produce in total over the two months?

• 7x^2 + 3x + 3

• 3x^2 + 9x + 5

• 6x^2 + 2x + 4

• 8x^2 + 3x + 1

A rectangular swimming pool has a length of (4x + 2) meters and a width of (x + 3) meters. What is the total area of the swimming pool?

• 4x^2 + 12x + 5

• 4x^2 + 14x + 6

• 2x^2 + 14x + 6

• 4x^2 + 10x + 8