Unit 2a Lessons 1 - 3

Edgar is making an open-top box from an 12 cm x 16 cm sheet of paper. The volume v(x) is a function of the side length of the square cutout x.

Which expression represents v(x)?

• V(x) = (12 - 2x)(16 - 2x)x

• V(x) = (12 - x)(16 - x)x

• V(x) = 2x(12 - 2x)(16 - 2x)

• V(x) = 2x(12 - x)(16 - x)

Allen is making an open-top box from a 50 mm x 32 mm sheet of paper. The volume v(x) is a function of the side length of the square cutout x.

Which expression represents v(x)?

• V(x) = (50 - 2x)(32 - 2x)x

• V(x) = (50 - x)(32 - x)x

• V(x) = (25 - 2x)(16 - 2x)x

• V(x) = (25 - x)(16 - x)x

Poe is making an open-top box from a 17 inch x 24 inch sheet of paper. The volume v(x) is a function of the side length of the square cutout x.

Which expression represents v(x)?

• V(x) = (24 - 2x)(17 - 2x)x

• V(x) = (17 - x)(24 - x)x

• V(x) = (8.5 - 2x)(12 - 2x)x

• V(x) = 2x(24 - 2x)(17 - 2x)

Edgar is making an open-top box from an 12 cm x 16 cm sheet of paper. The volume v(x) is a function of the side length of the square cutout x.

What range of values make sense for x the length of the cutout in this situation?

• 0 < x < 6

• 0 < x < 8

• 6 < x < 8

• 0 < x < 12

• 0 < x < 3

Allen is making an open-top box from a 50 mm x 32 mm sheet of paper. The volume v(x) is a function of the side length of the square cutout x.

What range of values make sense for x the length of the cutout in this situation?

• 16 < x < 25

• 0 < x < 4

• 0 < x < 32

• 0 < x < 25

• 0 < x < 16

Poe is making an open-top box from a 17 inch x 24 inch sheet of paper. The volume v(x) is a function of the side length of the square cutout x.

What range of values make sense for x the length of the cutout in this situation?

• 0 < x < 12

• 8.5 < x < 12

• 0 < x < 8.5

• 0 < x < 6

• 4.25 < x < 6

Which polynomial has a degree of 5?

• $y\ =\ 7x^{3\ }-10x\ +5$

• $y\ =\ 5x^2-8x\ +13$

• $y\ =\ 7x^3+5x^2-8x\ -12$

• $y\ =\ x^{5\ }-2x^{3\ }+8x-30$

Which polynomial has a constant term of 5?

• $y\ =\ 7x^{3\ }-10x\ +5$

• $y\ =\ 5x^2-8x\ +13$

• $y\ =\ 7x^3+5x^2-8x\ -12$

• $y\ =\ x^{5\ }-2x^{3\ }+8x-30$

What does the constant term tell us about the graph of the polynomial?

• Where it crosses the x-axis

• The left side of the graph

• Where it crosses the y-axis

• The right side of the graph

Which polynomial has a degree of 4?

• $y\ =\ 7x^{3\ }-10x\ +5$

• $y\ =\ 5x^2-8x\ +13$

•  $y\ =\ 7x^3+5x^2-8x^4\ -12$ 

• $y\ =\ x^{5\ }-2x^{3\ }+8x-30$