SAT Test

Complete the test and get an award.

Problem #1
What is the value of x(x3 - x2) if x = -2?

Problem #2
If A = (x1, y1) and B = (x2, y2), then what is the midpoint of the segment AB?

Problem #3
ABCD is square and AB=1. Find the area of the black space.

Problem #4
If a=c2, b=c3 and c is an odd number, which one is true?

Problem #5
If f(x) = x3 - x2 - x + 1, what is the value of f(-1)?

Problem #6
If a, b, c are positive consecutive integers, which one is true?

Problem #7
If ABCD is a square and AB=1, find the value of red area.

Problem #8
f(x)=x3 + 3x + 2 and f(a) = f(b) = 0. Find a + b.

Problem #9
If 4|a| - 3(-b)3 = 5|-c|, what is the value of a in terms of b and c?

Problem #10
Find the sum of the units digits of the first 10 terms of the below sequence.

1, 5, 9, ..., an = 4n - 3

Problem #11
If f(x)=3x3 + 2x2 + x then find f(-2)

Problem #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?

Problem #13
What is the value of y + x2y + xy2, if x = 1 and y = -1?

Problem #14
Suppose A=(2, 3) and B=(x, y). Let C=(3, 4) be the midpoint of AB. Find (x, y).

Problem #15
What is the average of x2 + 3x + 2 and x3 - x2 - x + 1 for x = -1?

Problem #16
If f(x)=x2 - 2x + 4 and g(x) = xf(x), find f(2) + g(-2) = ?.

Problem #17
If f(3) = f(2) = 0, which of the following is true?

Problem #18
If A=(1, 1) and B=(2, 3), what is the distance between A and B?

Problem #19
Calculate the sum S = 1 + 2 + 3 + ...+ 100.

Problem #20
According to the figure, which one is true?

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