Equations
Pythagorean Theorem
Slope
Exponents
Flatland
Surprise
100
Solve for x.
1/2x=10
x=20
100
What is the formula for the Pythagorean Theorem?
a^2+b^2=c^2
100
What is slope?
Is often referred to as the steepness of a line. It is the ratio that describes the tilt of a line.
100
What does an exponent represent?
Exponents represent repeated multiplication - it tells us how many times to multiply a number by itself.
100
What was Hex's grandfather's name?
Arthur Square
100
Simplify this expression:
3x+5y-4-4x+y-2
-x+6y-6
200
Solve for x
2x+3=2x+3
All real numbers or x can be anything
200
What is the difference between the information the lengths of a triangle gives us versus it's squares?
The length tells us if it is a triangle. The area tells us what kind of triangle it is.
200
What is the formula for solving slope algebraically?
(y_2-y_1)/(x_2-x_1)
200
Expand the following:
xy^3•2d^2
x•y•y•y•2•d•d
200
What was the location where the Circles kept the 3-dimension secret?
Area 33-H
200
A tile pattern has 5 tiles in Figure 0 and grows at a constant rate of 3 tiles per figure. Write a linear equation that represents this tile pattern.
y=3x+5
300
Solve for x
5x+10=10
x=0
300
What does the Pythagorean Theorem prove? (Do not write the formula.)
That for right triangles the sum of the square on the legs of a right triangle is equal to the square of the hypotenuse.
300
Find the slope for the following:
(2,5)
(-4,-15)
The slope is
(-15-5)/(-4-2)=20/6=10/3
300
Simplify the following:
(z^17w^32)/(z^11w^27)
z^6w^5
300
What where the four lands talked about in the movie?
Pointland; Lineland; Flatland; Spaceland
300
Square Root:
sqrt(4)+sqrt(100)-sqrt(64)+3^2=?
2+10-8+9=13
400
Solve for x
8x-4=8x+3
x is no solution
400
What is the length of the missing side?
c=17cm
b=15cm
a=?
17^2-15^2=a^2
289-225=a^2
sqrt64=sqrt(a^2)
8cm=a
400
The mystery machine has a slope of 40, which means they are going forty miles per hour as they travel to Miami.
400
What is the power to power rule? (formula)
(a^m)^n=a^(m•n)
400
If it goes from point --> line --> square --> cube...what is the the 4th dimension name?
Tesseract
400
Use the order of operations to simplify the expression:
16-3(8-3)^2 divide 5
16-3(8-3)^2divide5
16-3(5)^2divide5
16-3(25)divide5
16-75divide5
16-15=1
500
Solve for x
0.4x+.5=3/10x+1+1/10x-0.5
All real numbers or x can be anything
500
What is the length of the missing side indicated by the question mark below? 
The missing length is 10cm.
500
Which slope is steeper?
32/47 15/13
33/35 30/27
15/13
500
Simplify the following:
(d^14y^18•d^3z^4•yd)/(d^2y^2•d^10z•zy^6)
d^6y^11z^2
500
What kind of mathematical form/inspiration was the town of flatland designed with?
Fractals
500
sqrt729-(sqrt900dividesqrt36)•sqrt4
27-(30divide6)•2
27-5•2
27-10=17
1000
What mathematician introduced the first systematic algebraic notation and contributed to the theory of equations?
François Viète (1540-1603). Although he didn't invent it. Without him, those familiar equations would be unrecognizable. He was to introduce the use of letters to represent known constants and unknown quantities in equations -- he used consonant for known quantities and vowels for unknowns.
1000
Pythagoras of Samos, lived in southern Italy and was the first to prove the Pythagorean Theorem. About how many years ago was that?
2,500 years ago
1000
Which mathematician is responsible for the coordinate system?
René Descartes. In actual fact, Descartes' mathematical contribution was not initially intended for use in maths and navigation, but as a means to unite geometry and algebra.
1000
Which mathematician introduced the modern notation for exponents?
ex. a•a•a = a^3
René Decartes (Lived 1596-1650)
1000
The Flatland movie was originally inspired by a book called Flatland: A Romance of Many Dimensions. What was the authors name and in what year was the book published?
Author: Edwin Abbott Abbott
Year: 1884
1000
What mathematician helped develop the systematic and logical approach to solving linear and quadratic equations?
Muhammad ibn Musa al-Khwarizmi was a Persian Shi'a Muslim mathematician, astronomer, astrologer and geographer. He was born in Persia of that time around 780 and he died around 850. Al-Khwarizmi was scholar in the House of Wisdom in Baghdad.