Algebra 2 Semester 2 Review

Factor

100

x²-7x-18

(x-9)(x+2)

200

4x²-25

(2x-5)(2x+5)

300

What factor makes Mirabel unique in Encanto (compared to her family)? 

She has no gift. 

400

2x²+7x+6

(2x+3)(x+2)

500

4x⁵-100x³

4x³(x-5)(x+5)

imaginary

100

In Inside Out, what is the name of Riley's imaginary friend made of cotton candy? 

Bing Bong

200

Solve the equation. -4x²+7=107

±5i 

300

(2i+4)²-15i+14

26+i

400

Reduce the radical. √-80

4i√5 

500

(5i+6)/(9i+1). Answer in fraction form. 

5⅛2-49/82i  

RADICAL!

100

reduce the ³√54x⁷

3x² ³√2x 

200

Reduce ⁴√16x¹⁶

2x⁴ 

300

³√4000x¹⁶

10x⁵ ³√4x 

400

Make up an equation that has a solution of ±4i. 

equation

500

In what radical 1990s movie do four pizza loving turtles fight crime in New York City?

Teenage Mutant Ninja Turtles

Logarithms

100

write in exponential form. Log₂(8)=3

2³=8

200

evaluate. Round to the nearest hundredth. Log(15)

1.18

300

Condense the logarithms. logx+7logy

log(xy⁷) 

400

Expand the logarithm. log(xy/z⁵)

logx+logy-5logz 

500

condense the logarithms. 0.5log16+9logy

log(4y⁹) 

RANDOM

100

What does it mean to factor? 

To break apart or turn into a multiplication problem. 

200

When is it necessary to use i in an equation. 

When you take the square root of a negative. 

300

In Spiderman: No Way Home, how many Spider-men appear together on screen?

3

400

Write in fractional form ⁴√6x²y⁵ 

6^(¼)x^(½)y^(5/2) 

500

What is a logarithm? 

The inverse of an exponential function or just an exponent.