Factoring out GCFs

What is the greatest common factor of 4k, 18k⁴, and 12?

• 2

• 4

• 2k

• 4k

What is the factored form of 8x² + 12x?

• 4(4x² + 8x)  

• 4x(2x + 3)  

• 8x(x + 4)

• 8x(x² + 4)

What is the factored form of 3x+24y?

• 3(x+8y)

• 3xy(x+8y)

• 3(3x+24y)

• 3xy(3x+24y)

What is the completely factored form of the expression 16x² + 8x + 32?

• 4(4x² + 2x + 8)

• 4(12x² + 4x + 28)

• 8(2x² + x + 4)

• 8x(8x² + x + 24)

Which statement is true about the factorization of 30x² + 40xy + 51y²?

• The polynomial can be rewritten after factoring as 10(3x² + 4xy + 5y²).  

• The polynomial can be rewritten as the product of a trinomial and xy.

• The greatest common factor of the polynomial is 51x²y².

• The greatest common factor of the terms is 1.

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a² – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?

• 6(4a² – 3)

• 6(8a² – 9)

• 6a(12a – 9)

• 6a(18a – 12)

Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars. Which expression represents her gross pay each day?

• 5h+8

• 8h+5

• 7h+11.2

• 11.2h+7

Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x² + 48x + 24 ounces.Which factorization could represent the number of water bottles and weight of each water bottle?

• 6(10x² + 8x + 2)

• 12(5x² + 4x + 2)

• 6x(10x² + 8x + 2)

• 12x(5x² + 4x + 2)

What is the fully factored form of 32a³ + 12a²?

• 4a²(8a + 3)

• 4a(8a² + 3a)

• 12a²(3a + 1)

• 12a(3a² + a)

Logan saves the same amount of money each month for college. His current total savings is 300m² + 120m + 180 dollars.  Which factorization could represent the number of months and amount of a monthly deposit in dollars?

• 4m(75m² + 30m +40)

• 10m(30m² + 12m +18)

• 30(10m² +4m + 60)

• 60(5m² +2m +3)