10 Hard SAT Math Questions (Part - 37)

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Question 1 :

The graph of y = 2x² + bx + c is shown, where b and c are constants. What is the value of bc?

Answer :

Question 2 :

In 2008, Zinah earned 14% more than in 2007, and in 2009 Zinah earned 4% more than in 2008. If Zinah earned y times as much in 2009 as in 2007, what is the value of y ?

A) 0.5600

B) 1.0056

C) 1.1800

D) 1.1856

Answer :

Question 3 :

Circle A (shown) is defined by the equation

(x + 2)² + y² = 9

Circle B (not shown) is the result of shifting circle A down 6 units and increasing the radius so that the radius of circle B is 2 times the radius of circle A. Which equation defines circle B ?

A) (x + 2)² + (y + 6)² = (4)(9)

B) 2(x + 2)² + 2(y + 6)² = 9

C) (x + 2)² + (y - 6)² = (4)(9)

D) 2(x + 2)² + 2(y - 6)² = 9

Answer :

Question 4 :

Right triangle ABC is shown. What is the value of tan A?

A) √3/54

A) 1/√3

A) √3

A) 27√3

Answer :

Question 5 :

In the equation above, what is the value of x?

Answer :

Question 6 :

The relationship between two variables, x and y, is linear. For every increase in the value of x by 1, the value of y increases by 8. When the value of x is 2, the value of y is 18. Which equation represents this relationship?

A) y = 2x + 18

B) y = 2x + 8

C) y = 8x + 2

D) y = 3x + 26

Answer :

Question 7 :

The table shows three values of x and their corresponding values of g(x), where

and f is a linear function. What is the y-intercept of the graph of y = f(x) in the xy-plane?

A) (0, 36)

B) (0, 12)

C) (0, 4)

D) (0, −9)

Answer :

Question 8 :

In right triangle ABC, angle C is the right angle and BC = 162. Point D on side AB is connected by a line segment with point E on side AC such that line segment DE is parallel to side BC and CE = 2AE. What is the length of line segment DE ?

Answer :

Question 9 :

f(x) = (1.84)^x/4

The function f is defined by the given equation. The equation can be rewritten as f(x) = (1 + p/100)^x, where p is a constant. Which of the following is closest to the value of p?

A) 16

B) 21

C) 46

D) 96

Answer :

Question 10 :

The function f is defined by f(x) = a√(x + b), where a and b are constants. In the xy - plane, the graph of y = f(x) passes through the point (-24, 0), and f(24) is less than 0. Which of the following must be true?