# SAT

Complete the test and get an award.

Problem #1
If 20 percent of 40 percent of X plus 1 is equal to 10 percent of 20 percent of X, what's the value of X?

Problem #2
What is the slope of a line that passes through the points (0, 1) and (2, 3)?

Problem #3
Let a2b = c and c2d = b. What is the value of a2 in terms of b and d?

Problem #4
Find the slope of a line which passes through the mid points of two lines. The first one is through (1, 2) and (3, 4). The second line is through (-5, -6) and (7, 8).

Problem #5
If $(x\diamond y)\odot z = (x + y)\times z$, what is the value of $(3\diamond 2)\odot 4$?

Problem #6
If X and Y are consecutive positive prime numbers, that product is 143, what is the value of X + Y?

Problem #7
If y = x + 5 and -mx = 4, meet each other at the point (1, 6), what is the value of m?

Problem #8
If y = mx + a and y = nx + b, are two lines that never meet each other, which one is true?
(k ∈ R, a ≠ b)

Problem #9
The average of a and b is 3. What's the average of a, b and c if c = 3?

Problem #10
If x = y-2 and y2 = z-3, what is the value of z?

Problem #11
If the sides of a triangle are three consecutive positive integers and the perimeter of the triangle is 12, what is the area of the triangle?

Problem #12
If a2b3 = 4 and $b=\sqrt{2}$, what is the value of a.

Problem #13
If f(-x) = -f(x), what is the value of f(1) + f(-1)?

Problem #14
If 0 < a < b < 1 then which one is false?

Problem #15
If p > 2 is a prime number, and q is a composite even number, which of the following is odd?

Problem #16
Find AC = ?

Problem #17
If f(x) = x3 - x + 1, what is the value of f(1) =?

Problem #18
X is 10 years older than Y. In 3 years X will be 3 times older than Y. Find the sum of their ages.

Problem #19
If f(x) = x + 1 and g(x) = x - 1, what is the value of $\frac{f(x)g(x)}{f(x)+g(x)}$?

Problem #20
If c is the average of a and b, what is the average of a, b, and c?

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