Algebra Adventures
Geometry Genius
Trigonometry Try-Hards
Standardized Test Type Stuff
Calculus Crusaders
100
Factor x2−5x+6x
(x-3)(x-2)
100
A right triangle has legs of length 3 and 4. Find the length of the hypotenuse.
5
100
Simplify sin2(x)+cos2(x)
1
100
If an item costs $120 and is on sale for 25% off, what is the sale price?
$90
100
What is the limit of f(x) as x approaches -4?
3.1
200
Solve the system of equations:
2x+y=10
x−y=4
x= 14/3 and y= 2/3
200
a logical argument that uses known facts, axioms, and postulates to demonstrate the truth of a given statement by following a series of steps and deductions
Proof
200
Use the unit circle to find tan(60°)
Square root 3
200
The average of five numbers is 8. If four of the numbers are 6, 9, 12, and 7, what is the fifth number?
6
200
f(x)=3x2+5x-74
Find f'(x)
f'(x)=6x+5
300
Find the roots of the quadratic equation 2x2−7x+3=0
(7±5)/4
300
Name three geometric theorems used to prove triangle congruency.
SSS, SAS, ASA, AAS, or HL
300
From a point 100 meters away from the base of a tower, the angle of elevation to the top of the tower is 45°. Find the height of the tower.
100m
300
Define median.
The middle value in a dataset that has been ordered from smallest to largest.
300
A toy car moving along a straight track has its position given by s(t)= 2t3-5t (in meters). What is the acceleration of the toy car at t=2 seconds
24 meters2/second
400
solve for x: log2(x+3)=5
29
400
A pyramid has a square base with a side length of 6 units and a height of 9 units. Find the volume of the pyramid. (v= 1/3Bh)
108 square units
400
What are the side lengths of a 30, 60, 90 triangle?
x, 2x, and x root 3
400
What is the product of 7, x2+3x, and x-10
7x3- 49x2-210x
400
Calculus, studying rates of change and accumulation, was developed independently in the late 17th century. This area of study was one of calculus' first major applications, leading to new understandings in motion and planetary orbits.
physics/astronomy
500
The origin of algebra came from Muhammad ibn Musa Al-Khwarizmi. The word algebra is derived from his book called what? (You can either name the book or the language in which it was written)
Al-Jabr (arabic)
500
The length of a rectangle is twice its width. If the area of the rectangle is 200 square units, find the dimensions of the rectangle.
10x20
500
A ladder is leaning against a wall. The angle between the ladder and the ground is 60°, and the distance between the base of the ladder and the wall is 5 meters. How tall is the wall?
5 x sin(60°) or 4.33 m
500
Liam can type faster than any of his classmates. He took a test that showed he can type 700 words in 5 minutes. At this rate, how long does Liam need to type a 20 page paper with 250 words on each page? Round your answer to the nearest whole minute.
36 mins
500
Implicitly differentiate the following:
x + ln(xy) + y2 = 50
dy/dx = -y-xy/x+2xy2