Exam #2 Review

Quadratic Equations

100

What principle allows us to set each factor equal to zero?

Zero Product Property

200

Solve x^2−16=0

x=4 or -4

300

Solve x^2+5x+6=0

x=-2 or -3

400

Factor x^2-5x-24

(x-8)(x+3)

500

Solve 2x^2−8x=0

x=0 or 4

Rational Expressions

100

Solve (6x)/(3x)

2

200

Simplify (x^2-9)/(x^2-3x)

(x+3)/x where x is not equal to 0,3

300

Find the LCD of 1/x and 2/(x+1)

x(x+1)

400

Divide ((x^2-4)/(3x))/((x-2)/(x))

(x+2)/3

500

Simplify (4/x^2) + (2/x)

(4+2x)/(x^2)

Rational and Literal Equations

100

Strategy to solve rational equations?

Multiply by the LCD

200

solve x/3=5

x=15

300

Solve (1/x)+2=3

x=1

400

Solve (y/y+6)=(72/y^2-36)+4

y=4

500

Solve (2/x+2)+(4/x-2)=(x-1)/(x^2-4)

x=-1

Radicals and Their Algebra

100

Simplify √(49)

7

200

Simplify √(50)

5√2

300

√(16n^2)

4n

400

³√64p^6

4p^2

500

why is there no real number equal to √-64

There’s no real number equal to √–64 because squaring any real number always gives a positive result.
However, in the complex number system, √–64 equals 8i.

Random

100

What is the largest organ in the human body?

The skin

200

What is the only planet that spins on its side?

Uranus

300

What is the most spoken language in the world?

English (by total speakers)

400

What animal is known to have the strongest bite in the world?

The saltwater crocodile

500

What is the rarest blood type?

AB negative