Algebra II Units 3 Review

Random Solving

100

A cube as a volume of 64 cm³, what is the edge length of that cube?

4 cm

200

√7=√(2x-1)

x=4

300

What is the solution to √(6x-2) + 4 = 2

What is no solution

400

What is the discriminant of 8x²-6x+16=8 and what does it tell you about the solutions of this equation?

-220 and it has two imaginary solutions

Solving Quadratics

100

What is the solution(s) to x²+5x+6=0

x=-3, -2

200

What is the solution(s) to 3x²+15x=0

x= 0, -5

300

Without solving, how many, and what kind of solutions does -4k²-8k-14=-9-7k

Using the discriminant, -79 there are 2 imaginary solutions

400

What is the solution(s) to -5x²+8x-2=10x

x= (1-3i)/5, (1+3i)/5

Exponent Properties

100

(2x⁴)(3x⁵)

6x⁹

200

7^-1/2

1/√7

300

8^5/3

32

400

(2x^-4y⁵)^-3

x¹²/(8y¹⁵)

Radical Expressions

100

Simplify 5√50.

What is 25√2.

200

4√3+5√12-7√27

What is -7√3.

300

(2+√5)(2-√5)

What is -1.

400

√20*√10

10√2

Complex Numbers

100

What does i² equal to?

What is -1.

200

Simplify √-10

What is i√10.

300

(4+2i)(3-i)

What is 14+2i.

400

(2+3i)5i³

What is 15-10i