Factoring Polynomials: Real-World Word Problems for 9th Graders

A farmer has a rectangular field with an area of 60x^2 + 45x square meters. If the length of the field is 15x, what is the width of the field when factored by grouping?

• 6x + 1

• 5x + 2

• 4x + 3

• 3x + 4

A school is organizing a play and has 12x^2 + 36x tickets to sell. If they want to group the tickets into bundles of 12, how many bundles can they create?

• x^2 + 4x

• x^2 + 2x

• 12x + 36

• x^2 + 3x

Tags

CCSS.HSA.APR.D.6

A rectangular garden has a perimeter represented by the expression 4x^2 + 20x. If the length is 2x + 10, what is the width of the garden when factored by grouping?

• 2(x + 5)(x - 1)

• 2(x + 5)(x + 1)

• 2(x - 5)(x - 1)

• 2(x + 10)(x - 2)

A company produces 30x^2 - 18x units of a product. If they want to package these units in groups of 6x, how many packages can they create?

• 3x + 1

• 4x - 2

• 5x - 3

• 6x - 5

Tags

CCSS.HSA.APR.D.6

A rectangular pool has a surface area of 24x^2 + 36x square feet. If the length is 6x, what is the width of the pool when factored by grouping?

• 3(2x + 4)

• 4(2x + 6)

• 2(2x + 3)

• 6(2x + 2)

A local bakery has 15x^2 + 25x cookies to distribute. If they want to group the cookies into boxes of 5, how many boxes can they fill?

• 3x^2 + 2x

• 2x^2 + 4x

• 3x^2 + 5x

• 5x^2 + 10x

Tags

CCSS.HSA.APR.D.6

A construction project has a budget represented by the expression 10x^2 + 40x. If they want to allocate this budget into groups of 10, how many groups can they create?

• 10x + 40

• x^2 + 2x

• 5x^2 + 20x

• x^2 + 4x

Tags

CCSS.HSA.APR.D.6

A car rental service has 18x^2 + 54x cars available. If they want to group the cars into sets of 18, how many sets can they form?

• x^2 + 3x

• x^2 + 4x

• 2x^2 + 3x

• x^2 + 2x

Tags

CCSS.HSA.APR.D.6

A bookstore has a total inventory represented by 8x^2 + 32x books. If they want to arrange the books into groups of 8, how many groups can they create?

• 2x(x + 16)

• x(x + 4)

• x^2 + 4x

• 4x(x + 8)

Tags

CCSS.HSA.APR.D.6

A sports team has 20x^2 + 30x jerseys to distribute. If they want to group the jerseys into sets of 10, how many sets can they form?

• 3x^2 + 5x

• 2x^2 + 3x

• 10x + 20

• 2x^2 + 2x

Tags

CCSS.HSA.APR.D.6