Algebra 2-H Semester 2 Final Exam

Evaluate  $\log_5125$  .

• 2

• 3

• 4

• 5

What transformation has been done to the parent function  $f\left(x\right)=\sqrt{x}$  to create  $g\left(x\right)=\sqrt{x-5}$  ?

• translation 5 down

• translation 5 up

• translation 5 right

• translation 5 left

Select the expression that correctly represents the sequence 8, 12, 16, 20.

• $\sum_{n=1}^4\left(7n+1\right)$

• $\sum_{n=1}^4\left(2n+6\right)$

• $\sum_{n=1}^4\left(3n+5\right)$

• $\sum_{n=1}^4\left(4n+4\right)$

Select the sequence that is arithmetic.

• 1, 8, 27, 81, 125,...

• 1, 4, 9, 16, 25,...

• 1, 5, 25, 125, 625,...

• 1, 4, 7, 10, 13,...

Solve for x:  $3^{9x+4}=3^{-3x+40}$  .

• 3

• 6

• 7

• 12

Which of the following is NOT equivalent to 2?

•  $4^{\frac{1}{2}}$  

•  $\sqrt{\frac{8}{2}}$  

•  $\sqrt{2^3}$  

•  $64^{\frac{1}{6}}$  

 $9^{\frac{5}{2}}=$  

• 3

• 15

• 45

• 243

Which of the following is equivalent to  $\log_2x=3$  ?

•  $2^3=x$  

•  $2^x=3$  

•  $3^x=2$  

•  $2^5=x$  

Find the 50th term of the sequence  $a_n=2n^2+5$  .

• 5,010

• 10,005

• 205

• 5,005

Solve for x:   $\sqrt{6x-7}=\sqrt{5x+2}$  .

• 9

• 5

• -9

• No solution

Tags

CCSS.HSA.REI.A.2