Plato Algebra II A Final Exam

Fully Factor the Following
25x²-81

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)

• (2,2)
• (-3,1)
• (1,-3)
• (7,3)

Subtract (9a² - 4a) - (2a² - 2a)

• 7a² - 6a

• 7a² - 2a

• 11a² - 6a

• 11a² - 2a

Subtract (2x³ - 7x + 1) - (5x³ - 3x² +9x - 4)

• 3x³ - 3x² + 2x - 3

• -3x³ + 3x² - 16x + 5

• -3x³ - 4x² -16x +5

• 3x³ - 3x² -16x + 5

Simplify  $\frac{7n}{3n-18}+\frac{n+3}{3}$  

•  $\frac{8n+3}{3n-15}$  

•  $\frac{n^2+4n-18}{3\left(n-6\right)}$  

•  $\frac{7\left(n+3\right)}{3\left(3n-18\right)}$  

•  $\frac{7n+n+3}{3n-18+3}$  

Simplify $\frac{8n}{n-3}+\frac{3n}{5n-6}$  

•  $\frac{43n^2-9}{\left(5n-6\right)\left(n-3\right)}$  

•  $\frac{11n}{6n-9}$  

•  $\frac{43n^2-57n}{\left(n-3\right)\left(5n-6\right)}$  

•  $\frac{8n+3n}{n-3+5n-6}$  

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1

What is the simplified form of (-6i)(3i)

• -18

• -18i

• 18

• -18i²

• 8 + 14i

• 3 + 14i

• 13 + 14i

• 11 + 14i