Digital SAT Math Questions and Answers (Part - 14)

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Question 1 :

2x + 9y = 7

The given equation is one equation in a system of two linear equations. If the system of equations has at least one solution, which of the following equations could be the other equation in the system?

I. 3x + 13.5y = 10.5

II. 3x - 13.5y = 10.5

A) I only

B) II only

C) I and II

D) Neither I nor II

Answer :

Question 2 :

The graph of y = f(x) + 4 is shown. Which equation defines function f ?

A) f(x) = -3^x + 1

B) f(x) = -3^x + 5

C) f(x) = -3^x + 8

D) f(x) = -3^x + 9

Answer :

Question 3 :

Two lines intersect at exactly one point, forming two acute angles and two obtuse angles. The measure of one of these angles is (9x - 140)°. Which of the following could NOT be the sum of the measures of any two of these angles?

A) (-18x + 280)°

B) (-18x + 640)°

C) (18x - 280)°

D) 180°

Answer :

Question 4 :

A scientist measured the lengths of 240 gray seals from Muskeget Island and 120 gray seals from Sable Island. The scientist determined that the mean length of the 240 gray seals from Muskeget Island was 88 inches and the mean length of the 120 gray seals from Sable Island was 94 inches. What was the mean length of all 360 gray seals the scientist measured for this study?

A) 89

B) 90

C) 91

D) 92

Answer :

Question 5 :

Circle A in the xy-plane has the equation (x + 5)² + (y - 5)² = 25. Circle B has the same center as circle A. The radius of circle B is two times the radius of circle A. The equation defining circle B in the xy-plane is (x + 5)² + (y - 5)² = k., where k is a constant. What is the value of k?

Answer :

Question 6 :

x² + 7x + 5 = 0

One solution to the given equation can be written as x = (-7 + √k)/2, where k is a constant. What is the value of k?

Answer :

Question 7 :

In triangle QRS shown, QR is less than RS. Which expression represents the length QS?

A) 18cos Q

B) 18sin Q

C) 18/cos Q

D) 18/sin Q

Answer :

Question 8 :

The cost to rent a bus from Company X is $950 for the first 3 hours and an additional $50 per hour for each hour after the first 3 hours. If the total cost to rent the bus from Company X for t hours, where t > 3, is $1,150, which equation represents this situation?

A) 950(t - 3) + 50t = 1,150

B) 950(3t) + 50t = 1,150

C) 950 + 50(t - 3) = 1,150

D) 950 + 50(3t) = 1,150

Answer :

Question 9 :

The population of the town of Smithville doubled every 75 years from 1659 to 1959. The population of this town was 240,000 in 1959. What was the population of this town in 1659?

Answer :