10 Hard SAT Math Questions (Part - 35)

Question 1 :

The curve y= a^x – 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 p^{1 – 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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10 Hard Digital SAT Math Questions (Part - 33)

10 Hard Digital SAT Math Questions (Part - 34)

10 Hard Digital SAT Math Questions (Part - 35)

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