Question

7. Simplify the product using the distributive property.

(5h - 3)(3h + 7)

(A). 15h^2 - 44h + 21
(B). 15h^2 - 26h - 21
(C). 15h^2 + 44h + 21
(D). 15h^2 + 26h - 21

8. Simplify the product using a table. ***I will add a picture of the table***

(5h + 4)(3h + 6)

(A). 15h^2 + 42h + 24
(B). 15h^2 - 42h + 24
(C). 15h^2 + 18h - 24
(D). 15h^2 - 18h - 24

9. Simplify using a table. ***I will also add a picture of this table***

(-4m + 6)(3m + 2)

(A). -12m^2 + 10m + 12
(B). -12m^2 - 10m - 12
(C). -12m^2 + 26m + 12
(D). -12m^2 - 26m - 12

10. Simplify the product using FOIL.

(4x - 4)(3x - 4)

(A). 12x^2 - 28x + 16
(B). 12x^2 - 4x - 16
(C). 12x^2 + 4x - 16
(D). 12x^2 + 28x + 16

11. A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula V= πr^2h for the volume of a cylinder.

(A). 80πx^3 + 144πx^2 + 84πx + 16π
(B). 20πx^2 + 26πx + 8π
(C). 80πx^3 + 144πx^2 + 84πx - 16π
(D). 400πx^4 + 1040πx^3 + 996πx^2 + 416πx + 64π

12. A sphere had a radius of 2x + 5. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S= 4πr^2 for surface area of a sphere.

(A). 16πx^2 + 80πx + 100π
(B). 16πx^2 + 40πx + 100π
(C). 100πx^2 + 80πx + 16π
(D). 100πx^2 + 100π

Answer 1

7.) (5h-3)(3h+7)
15h² + 35h - 9h - 21
15h² + 26h -21
D

8.) A (see picture)

9.) A (see picture)

10.) (4x-4)(3x-4)
12x² - 16x - 12x +16
12x² - 28x +16
A

11.) π(4x+2)²(5x+4)
π(16x² + 16x + 4)(5x+4)
π(80x³ + 64x² + 80x² + 64x +20x +16)
π(80x³ +144x² + 84x + 16)
80πx³ +144πx² + 84πx + 16π
A

12.) 4π(2x+5)²
4π(4x² + 20x + 25)
16πx² + 80πx +100π
A