Straight Up Math
Roots of all Evil
x-Factor
In Theory
Systemic Problems
400

Graph x=3

This is a vertical line through all points with an x-coordinate of 3
400

Simplify

4 / (3+sqrt(5))

3-sqrt(5)

400

Factor

12x^2 -29x - 8


(3x-8)(4x+1)

400

Draw an example of the graph of a nonzero odd function

Flip your board upside down. It is correct if it is the same graph.
400

Solve and classify the system:

{ 4x-y=-8

{ 2x+2y=6

(-1,4), Consistent and Independent

500

Is the following relation a function? State Domain and Range.

{(-1,4), (5,3), (1,6), (-5,0), (0,0)}

Yes, it passes the VLT

Domain: {-1,5,1,-5,0}

Range: {4,3,6,0}

500

Simplify, give restrictions:

(x^(4/3)y^(1/2)) / (x^(1/3)y)

|x| / sqrt(y)

(x =/= 0,  y>0)

500

Factor

125x^3 + 64y^3

(5x+4y)(25x^2-20xy+16y^2)

500

Let A be the set of all positive multiples of 6, and B be the set of all positive multiples of 8. Find the intersection of A and B

{x | x is a multiple of 24} or {24,48,72,...}

500

Graph the solution set

{y > 4-2x

{2y+4x < 2

The solution set is empty

600

Find the only function which is both even and odd.

Hint: write down the definitions

f(x)=0

600

Solve 

sqrt(x-1)  +1 = sqrt(x+6)

x=10

600

Put in standard form of circle. Give the radius and center.

x^2 - 10x + y^2 +6y = 2

(x-5)^2 +(y+3)^2=36

Radius: 6

Center: (5,-3)

600

Solve

|12-2x| > |2x+8|

Solution set: (-infinity,1)

600

How much of an 8% HCl solution and a 20% HCl solution must be combined to obtain 600 ml of 10% solution?

500 ml of 8%, 100 ml of 20%

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