Algebra 2(Mr. Amador)

Logarithms

100

What is the Base of...log₇49=2?

Base=7

200

What is the value of X in...log_x64=3?

x=4

300

Log₇X=4

Solve for X

x=2401

400

What is the base of... log100=2?

Base=10

500

What is the Logarithmic Form of...3^x=y?

Answer=log₃(y)=x

Solving Exponential Equations

100

Re-write 8=2^5x+7 for 8 as a base

Base=2

200

Solve for x in 4^x+2=64

x=1

300

Solve 8=2^5x+7

x=-4/5

400

Solve 9^8-x=27^x-3

x=5

500

Solve 3³=3^4x+2

x=1/4

Compositions of Functions

100

p(x)=3x+4 and q(x)=2x²

Find q(p(-2))

Answer=8

200

f(x)=3x+10 and g(x)=x-2

Find g(f(x))

Answer=3x+8

300

f(x)=3x+10 and g(x)=x-2

Find f(g(x))

Answer=3x+4

400

p(x)=3x+4 and q(x)=2x²

Find q(p(x))

Answer= 18x²+48x+32

500

f(x)=x²+x and g(x)=3x+1

Find the value of f(g(4))

Answer=182

Operations on Complex Numbers

100

Solve i⁴

Answer=1

200

Solve 5(2-3i)

Answer=10-15i

300

What is the simplified form of (-3+2i)(1-4i)?

5+14i

400

What is the simplified form of (8-3i)²?

55-48i

500

What is the imaginary part of -3+4i?

4i

Square Root Functions

100

Solve √x-4=7 

x=53

200

Describe the transformation

f(x)=-√x 

Reflects over x-axis

300

What are the transformations of this functions compared to the parent function?

y=-2√x-5 

It reflects over the x-axis, vertical stretch, and shifts right 5 units

400

What is the Domain of f(x)=√(x-2)+4

[2, ∞)

500

Solve √3x-5=√2x  

x=5