INDICES
ALGEBRA
INTEGERS
FUNCTIONS
SCIENTISTS
100
Evaluate: 491/2
7
100
5x + 9 = 24
x = 3
100
-20 + (-5)
-25
100
Evaluate the following function:
f(x) = 3(x - 4)
f(10) = ?
f(10) = 3(10-4)
= 3(6)
= 18
100
In mechanics, his three laws of motion, the basic principles of modern physics, resulted in the formulation of the law of universal gravitation.
Isaac Newton
200
Evaluate: 2-3 x 28
Ans = 25
200
(5x - 3) - (4x - 5) = 12
x = 10
200
-5 - (-11)=
6
200
The function f is defined as follows: g(x) = -2x + 5
What is the input value for which g(x) = 13?
-2x + 5 =13
-2x = 13-5
-2x = 8
-2x/-2 = 8/-2
x = -4
200
French mathematician, physicist, religious philosopher, and master of prose. He laid the foundation for the modern theory of probabilities, formulated what came to be known as Pascal’s principle of pressure, and propagated a religious doctrine that taught the experience of God through the heart rather than through reason.
Blaise Pascal
300
Evaluate: 1/3√3
Either
1/31/3
OR
3-1/3
300
6x + 15 = 3x + 8
x = -7/3
300
-235+235=
0
300
f(x) = 6x + 8 ; g(x) = (x-2)/3
Write an expression for gf(x).
gf(x) = ((6x+8)-2)/3
= (6x+8-2)/3
= (6x+6)/3
Either: gf(x) =(6x+6)/3 OR gf(x) = 2x + 2
300
Vegetarian mystical leader and number-obsessive, he owes his standing as the most famous name in maths due to a theorem about right-angled triangles, although it now appears it probably predated him.
Pythagoras
400
Find x from the equation: 37x-3=92x
x = 1
400
(x + 4)/3 =12
x = 32
400
-4 x -6 =
24
400
What is the inverse of:
g(x) = (x/5) + 1
g-1(x) = ?
y = (x/5) +1
x = (y/5) +1
x - 1 = y/5
5(x-1) = y
Therefore, g-1(x) = 5(x-1)
400
In mathematics, he was the original discoverer of the infinitesimal calculus. Mathematical Principles of Natural Philosophy, 1687, was one of the most important single works in the history of modern science.
Isaac Newton
500
What is 7 x 49x+3= 343x-5?
x = 22
500
2x2 + 13x +15
(x + 5) (2x +3)
x = -5
x = -3/2
500
125/-5 =
-25
500
Given f(x) = 2x + 1 and g(x) = x2 + 5
What is the correct expression to show fg(x)?
fg(x) = 2(x2+5) +1
= 2x2 +10 +1
= 2x2 + 11
500
German mathematician, generally regarded as one of the greatest mathematicians of all time for his contributions to number theory, geometry, probability theory, geodesy, planetary astronomy, the theory of functions, and potential theory (including electromagnetism).
Carl Friedrich Gauss