Radical Equations

Level 1 Equations

200

sqrt (x) = 6

x = 36

400

sqrt (4x) = 10

x = 25

600

sqrt (x/3) = 2

x = 12

800

sqrt ((2x)/5) = 4

x = 40

1000

sqrt (-x) = 3

x = -9

Level 2 Equations

200

8sqrt(3x)=48

x = 12

400

root(3)(x) - 10 = -3

x = 343

600

3sqrt((3x)/2)=9

x = 6

800

5sqrt((4x-8)/2) = 30

x = 20

1000

3sqrt((9x+1)/4) = 12

x = 7

Level 3 Equations

200

2 + sqrt(3x-1) = 7

x = 24

400

sqrt(2x+3) = sqrt(x-1)

x = -4

600

1+sqrt(2x+3)=6

x = 11

800

-8+sqrt(5a-5)=-3

a = 6

1000

sqrt(x/10) = sqrt(3x-58)

x = 20

Level 4 Equations

200

x+4=sqrt(x+10)

x = -6 or x = -1

400

4+sqrt(x+2) = x

x = 7 or x = 2

600

-4root(3)(x+10)+3=15

x = -37

800

x^(2/3)+45= 70

x =  125 or -125

1000

The Kinetic Energy (E_k) of an object depends on the object's mass (m) and velocity (v) and can be written as the equation below. What is the Kinetic Energy (measured in Joules) of an object with a mass of 1,000 kilograms that is traveling at 30 meters per second?

v=sqrt((2E_k)/m. 

30 = sqrt((2E_k/1,000)

E_k = 450,000J

FUNNY MATH WORDS

200

A truncated hyperbolic paraboloid looks like one of these "once you pop, you can't stop" snacks that come in a can

a Pringle

400

Nullstellensatz is a theorem in algebraic geometry whose name contains "null", the German word for this number

zero

600

Sesquiduplicate means "twice & a half as great", like the number 250 from this number

100

800

Hypocycloid is one of the three shapes seen on this city's NFL team helmets to represent the three elements used to make steel

Pittsburgh

1000

Enneadecagon is a polygon with this many sides (or, 1 more than that of an octadecagon)

19