Digital SAT Math Questions and Answers (Part - 3)

Question 1 :

If f(x + 1) = ¼f(x), which of the following equations could define the function f?

A)  f(x) = ¼(⅛)^x

B)  f(x) = 8(¼)^x

C)  f(x) = 8(4)^x

D)  f(x) = ¼(8)^x

Answer :

Question 2 :

The equation above is true for all values of x ≠ 2/a, where a is a constant. What is the value of a?

A)  -16

B)  -3

C)  3

D)  16

Answer :

Question 3 :

What is the value of (h + k) ?

Answer :

Question 4 :

The equation of a parabola is written in the form y = ax² + bx + c, where a, b and c are constants. When graphed in the xy-plane, the parabola has vertex (-1, 4) and does not intersect the x-axis. Which of the following could be the value of (a – b – c)?

A)  -5

B)  -4

C)  0

D)  4

Answer :

Question 5 :

The rational function f is defined by an equation in the form

where a and b are constants. The partial graph of y = f(x) is shown. If g(x) = f(x + 4), which equation could define function g ?

Answer :

Question 6 :

Which expression is equivalent to

Answer :

Question 7 :

The table shows the results of a poll. A total of 803 voters selected at random were asked which candidate they would vote for in the upcoming election. According to the poll, if 6,424 people vote in the election, by how many votes would Angel Cruz be expected to win?

A)  163

B)  1,304

C)  3,864

D)  5,621

Answer :

Question 8 :

The graph of x² + x + y² + y = 199/2 in the xy-plane is a circle. What is the length of the circle’s radius?

Answer :

Question 9 :

x(x + 1) - 56 = 4x(x - 7)

What is the sum of the solutions to the given equation?

Answer :

Question 10 :

p(t) = 90,000(1.06)^t

The given function p models the population of Lowell t years after a census. Which of the following functions best models the population of Lowell m months after the census?

A)  r(m) = (90,000/12)(1.06)^m

B)  r(m) = 90,000(1.06/12)^m

C)  r(m) = 90,000(1.06/12)^m/12

D)  r(m) = 90,000(1.06)^m/12

Answer :

Question 11 :

Data set A consists of the heights of 75 buildings and has a mean of 32 meters. Data set B consists of the heights of 50 buildings and has a mean of 62 meters. Data set C consists of the heights of the 125 buildings from data sets A and B. What is the mean, in meters, of data set C?

Answer :

Question 12 :

The graph of 9x -10y = 19 is translated down 4 units in the xy-plane. What is the x-coordinate of the x-intercept of the resulting graph?

Answer :

Question 13 :

Two variables, x and y, are related such that for each increase of 1 in the value of x, the value of y increases by a factor of 4. When x = 0, y = 200. Which equation represents this relationship?

A)  y = 4(x)²⁰⁰

B)  y = 4(200)^x

C)  y = 200(x)⁴

D)  y = 200(4)^x

Answer :

Question 14 :

x² - 2x - 9 = 0

One solution to the given equation can be written as 1 + √k, where k is a constant. What is the value of k?

A)  8

B)  10

C)  20

D)  40

Answer :

Question 15 :

The dot plots represent the distributions of values in data sets A and B.

Which of the following statements must be true?

I.  The median of data set A is equal to the median of data set B.

II.  The standard deviation of data set A is equal to the standard deviation of data set B.

A)  I only

B)  II only

C)  I and II

D)  Neither I nor II

Answer :

Question 16 :

An isosceles right triangle has a perimeter of 94 + 94√2 inches. What is the length, in inches, of one leg of this triangle?

A)  47

B)  47√2

C)  94

D)  94√2

Answer :

Question 17 :

-9x² + 30x + c = 0

In the given equation, c is a constant. The equation has exactly one solution. What is the value of c?

A)  3

B)  0

C)  -25

D)  -53

Answer :

Question 18 :

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

Answer :

Question 19 :

f(x) = -500x² + 25,000x

The revenue f(x), in dollars, that a company receives from sales of a product is given by the function f above, where x is the unit price, in dollars, of the product. The graph of y = f(x) in the xy-plane intersects x-axis at 0 and a. What does a represent?

A)  The revenue, in dollars, when the unit price of the product is $0.

B)  The unit price, in dollars, of the product that will result in maximum revenue.

C)  The unit price, in dollars, of the product that will result in a revenue of $0.

D)  The maximum revenue, in dollars, that the company can make.

Answer :

Question 20 :

In the expression above, b and c are positive integers. If the expression is equivalent to x + b and x ≠ b, which of the following could be the value of c?

A)  4

B)  6

C)  8

D)  10

Answer :

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Digital SAT Math Questions and Answers (Part - 1)

Digital SAT Math Questions and Answers (Part - 2)

Digital SAT Math Questions and Answers (Part - 3)

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