Factoring
Functions
Square Roots and Exponents
Inequalities
Quadratics/Complex
100

Factor 

x^2-64

(x-8)(x+8)

100

Let

f(x)=4x^3

f(2)=?

32

100

Rewrite as fraction

x^{-5}

\frac{1}{x^5}

100

Solve the inequality

3x+5<11

x<2

100

Find 

z+\bar{z}

z=(3+5i)

z+\bar{z}=6

200

Factor 

x^2+9x+20

(x+5)(x+4)

200

f(x)=2x+7x^2

f(h)=?

2h+7h^2

200

Rewrite the expression

x^{5/7}

[7]\sqrt{x^5}

200

Solve the inequality

|3x-1|(-9)\geq 3

No real solution!

200

Find

z\bar{z}

z=4+8i

z\bar{z}=80

300

Factor the GCF

7x^2+14x^4+21x^5

7x^2(1+2x^2+3x^3)

300

Is the following function even or odd? Show why this is the case. What kind of symmetry does the function have?

f(x)+x^2+x^4+3x^8

It is even. Reflection symmetry over the x-axis. 

300

Rewrite the expression

x^{-\frac{6}{11}}

\frac{1}{[11]\sqrt{x^6}}

300

Solve the inequality 

|4x-1|(-5)\leq 6

All Real Numbers!

300

What is the distance from the origin to an given complex number. How do I compute it? 

z\bar{z}

400

Factor 

x^2-5x+6

(x-3)(x-2)

400

What is the domain

\frac{1}{x^2-16}

D: x\ne 4, x\ne -4

400

Solve the following equation

x^2+11=16

x=\pm\sqrt{5}

400

Solve the inequality

|4x+2|\leq6

x\leq 1

x\geq -2

400

Draw a function with no real roots.

It should not hit the x-axis. 

500

Factor 

6x^2+9x+4x+6

(3x+2)(2x+3)

500

Find the  difference quotient of 

f(x)=x^2+12

2x+h

500

Solve the equation

3x^2-9=12

x=\pm\sqrt{1}

500

Solve the inequality 

x<2

x>5

No Solution!

500

Solve this quadratic. What theorem guarantees the existence of complex solutions if there are any? 

f(x)=3x^2+7x+9=0



x=-\frac{7}{6}\pm\frac{\sqrt{59}}{6}i

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