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Question 1 :
The curve y= ax – b passes through points (c, 8) and (2c, 350). Find the value of b.
Answer :
Question 2 :
The function p is defined by
p(x) = a((x + 7)2 – b)((x + 7)2 – c),
where a, b and c are constants. In the xy-plane, the graph of y = p(x) passes through the points (–12, 45) and (0, 256). What is the value of p(–2) + p(–14)?
Answer :
Question 3 :

In the xy-plane above, O is the center of the circle and the measure of ∠POQ is kπ. What is the value of k?
A) 2/3
B) 3/2
C) 1/2
D) 5/2
Answer :
Question 4 :
Which expression is equivalent to 16x4 – 81?
A) (4x2 + 9)2
B) (2x + 3)2(2x – 3)2
C) (4x2 + 27)(4x2 – 3)
D) (4x2 + 9)(2x + 3)(2x – 3)
Answer :
Question 5 :
Two numbers, p and q, are each greater than zero, and the square of p is equal to the cube root of q. For what value of x is p1 – x equal to the square root of q?
Answer :
Question 6 :
The given equation relates the positive real numbers x, y and z. Which equation correctly expresses x in terms y and z?
A) x = z2 – y2 + 2zy – 3
B) x = y2 – z2 + 2yz – 3
C) x = y2 + z2 + 2yz – 3
D) x = z2 + y2 – 2zy – 3
Answer :
Question 7 :

In circle P, the two chords intersect at point X, with the lengths as indicated in the figure. Which could NOT be the sum of lengths a and b, if a and b are integers?
A) 49
B) 30
C) 26
D) 16
Answer :
Question 8 :
The expression (x + 10)(x + b) and x2 + 3bx + c, where b and c are constants, are equivalent. What is the value of c?
Answer :
Question 9 :
Functions f and g are defined by f(x – 1) = 6x and g(x) = x + 3. What is the value of f(g(2))?
Answer :
Question 10 :
Line m passes through the points (k, 7) and (3, k – 4) in the xy-plane. If the slope of line m is 3, what is the value of k?
Answer :
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