Question 1
What is the value of x(x
3 - x
2) if x = -2?
Question 2
If A = (x
1, y
1) and B = (x
2, y
2), then what is the midpoint of the segment AB?
Question 3
ABCD is square and AB=1. Find the area of the black space.
Question 4
If
a=c2,
b=c3 and
c is an odd number, which one is true?
Question 5
If
f(x) = x3 - x2 - x + 1, what is the value of
f(-1)?
Question 6
If
a, b, c are positive consecutive integers, which one is true?
Question 7
If
ABCD is a square and
AB=1, find the value of red area.
Question 8
f(x)=x2 - 2x - 2 and
f(a) = f(b) = 0. Find
a + b.
Question 9
If 4|a| - 3(-b)
3 = 5|-c|, what is the value of a in terms of
b and
c?
Question 10
Find the sum of the units digits of the first 10 terms of the below sequence.
1, 5, 9, ..., a
n = 4n - 3
Question 11
If f(x)=3x
3 + 2x
2 + x then find f(-2)
Question 12
If
a, b, c are positive consecutive odd integers and c < b < a, what is the value of
b2 in terms of
a and
b?
Question 13
What is the value of y + x
2y + xy
2, if
x = 1 and
y = -1?
Question 14
Suppose A=(2, 3) and B=(x, y). Let C=(3, 4) be the midpoint of
AB. Find (x, y).
Question 15
What is the average of x
2 + 3x + 2 and x
3 - x
2 - x + 1 for x = -1?
Question 16
If
f(x)=x2 - 2x + 4 and
g(x) = xf(x), find
f(2) + g(-2) = ?.
Question 17
If f(3) = f(2) = 0, which of the following is true?
Question 18
If A=(1, 1) and B=(2, 3), what is the distance between
A and
B?
Question 19
Calculate the sum S = 1 + 2 + 3 + ...+ 100.
Question 20
According to the figure, which one is true?