Digital SAT Math Questions and Answers (Part - 4)

Question 1 :

A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?

A)  7,500

B)  15,000

C)  22,500

D)  45,000

Answer :

Question 2 :

If the vertex of a parabola is at the point (1, 24) and the quadratic can be written as -a(x²) + bx + c and a, b and c are all positive integers, what is the maximum value of b?

Answer :

Question 3 :

A table that weighs 441 pounds puts equal amounts of pressure on each of its 4 identical legs. If the pressure that each leg exerts on the floor is 21 pounds per square inch, what is the area, in square inches, of the bottom of each leg that is touching the floor?

Answer :

Question 4 :

In the figure above, the lines m and n are parallel. If x = 6k + 13 and y = 8k - 29, what is the value of z?

A)  3

B)  21

C)  41

D)  139

Answer :

Question 5 :

A moving truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than 4,600 pounds. What is the maximum number of boxes this truck can tow in a trailer with a weight of 500 pounds if each box weighs 120 pounds?

A)  34

B)  35

C)  38

D)  39

Answer :

Question 6 :

x(a + 2) = 12(x + 1)

If the above equation has no solution, what is the value of a?

Answer :

Question 7 :

The graph shows the sales of ice cream at a store and the average daily temperatures for a month. Which data point would be considered an outlier for the graph?

A)  On a day with an average temperature of 60ºF, the store makes $2,000 in ice cream sales.

B)  On a day with an average temperature of 70ºF, the store makes $3,000 in ice cream sales.

C)  On a day with an average temperature of 75ºF, the store makes $2,000 in ice cream sales.

D)  On a day with an average temperature of 80ºF, the store makes $1,000 in ice cream sales.

Answer :

Question 8 :

f(x) = (x - 10)(x + 13)

The function f is defined by the given equation. For what value of x does f(x) reach its minimum?

A)  -130

B)  -13

C)  -23/2

D)  -3/2

Answer :

Question 9 :

The function gives a metal ball’s height above the ground f(x), in inches, x seconds after it started moving on a track, where 0 ≤ x ≤ 10. Which of the following is the best interpretation of the vertex of the graph of y = f(x) in the xy-plane?

A)  The metal ball’s minimum height was 3 inches above the ground.

B)  The metal ball’s minimum height was 7 inches above the ground.

C)  The metal ball’s height was 3 inches above the ground when it started moving.

D)  The metal ball’s height was 7 inches above the ground when it started moving.

Answer :

Question 10 :

In triangle JKL, cos (K) = ²⁴⁄₅₁ and angle J is a right angle. What is the value of cos (L)?

Answer :

Question 11 :

In the figure above ABC and CDE are right triangles. If ∠ACE is a right angle, which of the following is equal to sin∠ACB?

A)  CD/DE

B)  CD/CE

C)  CE/CD

D)  DE/CE

Answer :

Question 12 :

The expression 3x² + bx – 56, where b is a constant, can be written as (mx + n)(x + p) where m, n and p are integer constants. Which of the following must be integer?

A)  b/m

B)  b/n

C)  56/m

D)  56/n

Answer :

Question 13 :

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

Answer :

Question 14 :

In the xy-plane, a parabola has a vertex (7, 12) and intersects the x-axis at two points. If the equation of the parabola is written in the form y = ax² + bx + c, where a, b and c are constants, which of the following could be the value a + b + c?

A)  36

B)  18

C)  14

D)  10

Answer :

Question 15 :

In the circle with center O, the central angle has a measure of 2𝜋/3 radians. The area of the sector formed by central angle AOB is what fraction of the area of the circle?

Answer :

Question 16 :

-3x + 21px = 84

In the given equation, p is a constant. The equation has no solution. What is the value of p?

A)  0

B)  1/7

C)  4/3

D)  4

Answer :

Question 17 :

-x² + bx - 676 = 0

In the given equation, b is a positive integer. The equation has no real solution. What is the greatest possible value of b?

Answer :

Question 18 :

If a new graph of three linear equations is created using the system of equations shown and the equation x + 4y = -16, how many solutions (x, y) will the resulting system of three equations have?

A)  Zero

B)  Exactly one

C)  Exactly two

D)  Infinitely many

Answer :

Question 19 :

f(x) = 5,470(0.64)^x/12

The function f gives the value, in dollars, of a certain piece of equipment after x months of use. If the value of the equipment decreases each year by p percent signp percent sign of its value the preceding year, what is the value of p?

A)  4

B)  5

C)  36

D)  64

Answer :

Question 20 :

The dot plot represents the 15 values in data set A. Data set B is created by adding 56 to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?

A)  The median of data set B is equal to the median of data set A, and the range of data set B is equal to the range of data set A.

B)  The median of data set B is equal to the median of data set A, and the range of data set B is greater than the range of data set A.

C)  The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A.

D)  The median of data set B is greater than the median of data set A, and the range of data set B is greater than the range of data set A.

Answer :

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Digital SAT Math Questions and Answers (Part - 4)

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Digital SAT Math Questions and Answers (Part - 6)

Digital SAT Math Questions and Answers (Part - 7)

Digital SAT Math Questions and Answers (Part - 8)

Digital SAT Math Questions and Answers (Part - 9)

Digital SAT Math Questions and Answers (Part - 10)

Digital SAT Math Questions and Answers (Part - 11)

Digital SAT Math Questions and Answers (Part - 12)

Digital SAT Math Questions and Answers (Part - 13)

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