Algebra II Test 2 Review

Complex Numbers

100

Evaluate i²

What is -1?

200

Evaluate 

i^2*i^10*i^3

What is 

-i

300

Simplify the following 

(1+4i)/(-i)

What is 

-4+i

400

simplify the following: 

(2+2i)/(1+4i)

What is 

(10-6i)/17

500

Simplify the following 

-sqrt(-32)+4

What is 

-4isqrt(2)+4

Factoring

100

Factor the following:

(x-5)(x-6)

What is 

(x-5)(x-6)

200

Factor the following:

x^4-2x^2-15

What is 

(x^2-5)(x^2+3)

300

Factor the following:

x^3-5x^2-x+5

What is 

(x-5)(x+1)(x-1)

400

Factor the following:

2x^2-13x+20

What is 

(2x-5)(x-4)

500

Factor the following:

4x^3-x^2-4x-1

What is 

(4x-1)(x+1)(x-1)

Rational Expressions

100

Simplify the following: 

(10a^3b)/(-15ab^3)

What is 

(2a^2)/(-3b^2)

200

Simplify the following:

(2x+6)/(4x-12)

(x+3)/(2(x-3))

300

simplify the following: 

(2x+6)/(5x+10).(x+2)/(x^2+4x+3)

What is 

2/(5(x+1)

400

(x^2-5x-6)/(5x+15)/(x^2-3x-4)/(7x+21)

Simplify the following 

What is 

(7(x-6))/(5(x-4))

500

Simplify the following: 

3/(y+3)+(2y)/(y^2+8y+15)

What is 

5/(y+5)

Function Composition

100

(f + g)(x)

What is 

2x^2+5x+4

200

(f-h)(x)

What is 

2x^2-5x-1

300

(g * h)(x)

What is 

24x^2+26x+6

400

g(h(x))

What is 

24x+1

500

Solve 

f(g(2))

What is 68?

Simplifying radicals

100

Simplify the following 

sqrt(2x^4)

What is 

x^2sqrt2

200

Simplify 

-sqrt(-64)+3

What is 

-8i+3

300

Simplify 

sqrt((4x)/(18)

sqrt(2x)/3

What is 

400

Simplify 

(27y^-6)^(-1/3)

(y^2)/3

What is 

500

Write the following with rational exponents

sqrt(8x^3

 

8^(1/2)x^(3/2)

 

Logarithms

100

Evaluate log₄256

What is 4

200

Evaluate question a on the board

What is -3

300

Expand 

log(mn^2)

What is 

logm+2logn

400

Expand question b on the board.

See the teacher for answer

500

Expand question c from the board.

See the teacher for answer.