Find the value of x
5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
0=0
100
B(1, 5) and C(1, 1) are the endpoints of a line segment. What is the midpoint M of that line segment?
(1,3)
100
Solve for x
-19x = -20x + 17
x=17
100
Find the limit as x approaches -2 of x^2 -4x+1
13
100
Described as the first pure mathematician, this Greek taught us that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Pythagoras
200
Find the value of x
|-2x + 2| -3 = -3
x=1
200
Given the circle at the right with diameter AB, find x.
90 degrees
200
Solve for h
2h > -3h+5(-h-8)
h=-4
200
What is the derivative of 3x^4+7x^2-8x
12x^3+14x-8
200
This mathematician is known for a calculus rule named after him and for finding the limit of a rational function whose numerator and denominator tend to zero at a point.
L'Hopital
300
Solve
|-2x - 3| = |8x + 57|
(-9,-6)
300
Given a circle with the center indicated. Find x.
40 degrees
300
Solve for x. (Write answer using compound equality)
(x+3)(x+2)<0
-3<x<-2
300
find the derivative of y=cos(4x)
-4sin(4x)
300
This mathematician has a triangle named after him in which each number in the triangle is the sum of the two numbers above it.
Pascal
400
Factor
20x^2 - 27x + 9
(4x-3)(5x-3)
400
What is the area of the triangle?
33cm^2
400
How many radians is 60°?
π/3 radians
400
What is the integral of 15x^4 + 6x^2 -6x?
3x^5 + 2x^3 - 3x^2 +C
400
Jointly credited with inventing calculus, and hugely influential in the study of mechanics
Newton
500
Solve:
16x^2 + 8x + 10 = 0
(-1 ± 9i)/(4)
500
In the figure, ∆ABC is a right triangle. The length of AB is 6 units and the length of CB is 3 units. What is the length, in units, of AC ?
3 √(3)
500
Write an equation for a line passing through the points (c,2b) and (c, 3b).
x=c
500
Find the integral of (3x-2)^20
1/63 * (3x-2)^21
500
He was the most prolific mathematic writer of all time. He made large bounds forward in the study of modern analytic geometry and trigonometry where he was the first to consider sin, cos etc. as functions rather than as chords as Ptolemy had done.