10 Hard SAT Math Questions (Part - 38)

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Question 1 :

The scatterplot shows the relationship between two variables, x and y, for data set E. A line of best fit is shown. Data set F is created by multiplying the y-coordinate of each data point from data set E by 3.9. Which of the following could be an equation of a line of best fit for data set F?

A) y = 46.8 + 5.9x

B) y = 46.8 + 1.5x

C) y = 12 + 5.9x

D) y = 12 + 1.5x

Answer :

Question 2 :

48x - 64y = 48y + 24

ry = ⅛ - 12x

In the given system of equations, r is a constant. If the system has no solution, what is the value of r ?

Answer :

Question 3 :

The function f is defined by f(x) = |x - 4x|. What value of a satisfies f(5) - f(a) = -15?

A) -20

B) 5

C) 10

D) 45

Answer :

Question 4 :

The given equations relates the variables n, t and w, where n > 0, t > 0 and w > t. Which expression is equivalent to n?

Answer :

Question 5 :

(x - 40)(x + 32) = p

In the equatio0n above, p is a positive constant such that the quadratic equation has two irrational solutions of the form n + √s and n - √s. Determine the value of n.

Answer :

Question 6 :

The table shows three values of x and their corresponding values of y, where s is a constant. There is a linear relationship between x and y. Which of the following equations represents this relationship?

A) sx + 3y = 18s

B) 3x + sy = 18s

C) 3x + sy = 18

D) sx + 3y = 18

Answer :

Question 7 :

2x² - 8x - 7 = 0

One solution to the given equation can be written as

where k is a constant. What is the value of k?

Answer :

Question 8 :

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute angles is (9x - 560)°. The sum of the measures of one of the acute angles and three of the obtuse angles is (-18x + w)°. What is the value of w?

Answer :

Question 9 :

In triangle XYZ, angle Y is a right angle, point P lies on XZ, and point Q lies on YZ such that PQ is parallel to XY. If the measure of angle XZY is 63°, what is the measure, in degrees, of angle XPQ?

Answer :

Question 10 :

h(t) = -16t² + b

The function h estimates an object’s height, in feet, above the ground t seconds after the object is dropped, where b is a constant. The function estimates that the object is 3,364 feet above the ground when it is dropped at t = 0. Approximately how many seconds after being dropped does the function estimate the object will hit the ground?

A) 7.25

B) 14.50

C) 105.13

D) 210.25

Answer :