10 Hard SAT Math Questions (Part - 25)

Question 1 :

In the figure, parallel lines a and b are intersected by lines c, d, and e. If x = 54, v = 127, and w is greater than x, which statement about y and z must be true?

A)  z > y

B)  z < y

C)  z = y

D)  z + y = 90

Answer :

Question 2 :

An equilateral triangle has a perimeter of 1200 meters. If the height of the triangle is equal to x√3, what is the value of x?

Answer :

Question 3 :

f(x) = (x + a)(x + b)

For the given function f(x), where a and b are integer constants, f(-21) is greater than 0, f(-15) is greater than 0, and f(-18) is less than 0, what is one possible value of a + b?

Answer :

Question 4 :

Which system of linear equations has no solution?

A)

-3x + 7y = -9

3x - 7y = 9

B)

3x - 7y = 5

2x + 8y = 6

C)

4x - 9y = 7

-12x + 27y = -21

D)

-3x + 8y = 20

6x - 16y = 40

Answer :

Question 5 :

Function f is a quadratic function. The graph of y = f(x) in the xy-plane has a vertex at (-7, 14) and passes through the (-4, -31) and has a y-intercept at (0, a). The graph of 3f(x) has a y-intercept at (0, b). What is the positive difference between a and b?

Answer :

Question 6 :

Each of the following frequency tables represents a data set. Which of these frequency tables represent the data set with the smallest standard deviation?

Answer :

Question 7 :

In the given equation, k is a positive constant. The product of the solutions to the equation is 154. What is the value of k?

Answer :

Question 8 :

Two lines intersect at exactly one point, forming two acute angles and two obtuse angles. The measure of one of these angles is (7x - 210)°. Which of the following could NOT be the sum of the measures of any two of these angles?

A)  (-14x + 780)°

B)  (-14x + 420)

C)  180°

D)  (14x - 420)°

Answer :

Question 9 :

The mass of particles A, B and C are a atomic mass units, b atomic mass units, and c atomic mass units, respectively. If the mass of particle A is 4,600% of the mass of particle c, and the mass of particle c is 0.004% of the mass of particle b, which expression represents the value of a + b in terms of c?

A)  2,960c

B)  4,604c

C)  4,850c

D)  25,046c

Answer :

Question 10 :

In the given equation, a is a constant. The equation has exactly one real solution. What is the minimum possible value of 4a?

Answer :

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