10 Hard SAT Math Questions (Part - 7)

Question 1 :

f(x) = a[(x + 9)2b][(x + 9)2c]

In the function above, a, b and c are constants. The graph of y = f(x) passes through the points (–7, 15) and (0, 299). To the nearest whole number, what is the value of f(–4) + f(–15)?

Answer :

Question 2 :

(x + 7) is a factor of the quadratic function y = f(x), and x = c is a positive zero of the function. If the minimum of the function is (63/8, k), what is the value of c?

Answer :

Question 3 :

For two acute angles, A and B, cos A = sin B. The measures, in degrees, of A and B are 13x + 10 and 48 + 3x, respectively. What is the value of x?

Answer :

Question 4 :

A baseball coach charges each athlete $150 for the first month and $95 for each additional month. Which of the following functions correctly represents the total revenue R(m), in dollars, for m months and n athletes, where m and n are positive integers?

A)  R(m) = 95mn + 55

B)  R(m) = 95mn + 150

C)  R(m) = 95mn + 55n

D)  R(m) = 95mn + 150n

Answer :

Question 5 :

y = –3x2 – 58

y = px - 46

In the given system of equations, p is a constant. The graphs of the equations in the given system intersect at exactly one point, (x, y) in the xy-plane. Which of the following could be the value of x?

A)  -2

B)  -4

C)  12

D)  16

Answer :

Question 6 :

f(x) = −7x + b

For the given function f(x), which of the following gives the equation for the function f(x) + 20, given that the point (−4, 0) lies on the graph of f(x) − 20?

A)  f(x) = −7x − 28

B) f(x) = −7x − 8

C) f(x) = −7x + 8

D) f(x) = −7x + 12

Answer :

Question 7 :

The positive number a is 480% of the number b, and a is 70% of the number c. If c is p% of b, which of the following is closest to the value of p?

A) 267

B) 336

C) 550

D) 685

Answer :

Question 8 :

f(x) = axb

The exponential function given above passes through the points  (c, 8) and (2c, 350). What is a possible value of b?

Answer :

Question 9 :

digitalsatmath380.png

The table gives the volume of two similar cylinders. If the radius of cylinder A is 9 cm. What is the value of jk?

Volume = πr2h

Surface Area = 2πr2 + 2πrh

Answer :

Question 10 :

For the function f, for every increase of 1/2 in the value of x, the value of f(x) increases by a factor of c, where c is a constant. Which of the following forms of function f displays the value of c as the base or coefficient?

A)  f(x) = 56(2)6x

B)  f(x) = 56(8)2x

C)  f(x) = 56(64)x

D)  f(x) = 56(4,096)x/2

Answer :

You might like these

10 Hard Digital SAT Math Questions (Part - 1)

10 Hard Digital SAT Math Questions (Part - 2)

10 Hard Digital SAT Math Questions (Part - 3)

10 Hard Digital SAT Math Questions (Part - 4)

10 Hard Digital SAT Math Questions (Part - 5)

10 Hard Digital SAT Math Questions (Part - 6)

10 Hard Digital SAT Math Questions (Part - 7)

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