Digital SAT Math Practice Test with Answers (Part - 2)

Question 1 :

A)  -7 and -3

B)  -2 and 2

C)  2 and 7

D)  8 and 13

Answer :

Question 2 :

y = x² - 14x + 22

The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?

Answer :

Question 3 :

The scatterplot shows the relationship between two variables, x and y. A line of best fit is also shown.

Which of the following equations best represents the line of best fit shown?

A)  y = 13.5 + 0.8x

B)  y = 13.5 - 0.8x

C)  y = -13.5 + 0.8x

D)  y = -13.5 - 0.8x

Answer :

Question 4 :

A circle has center O, and points R and S lie on the circle. In triangle ORS, the measure of ∠ROS is 88°. What is the measure of ∠RSO, in degrees?

Answer :

Question 5 :

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

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

Answer :

Question 6 :

f(t) = 60000(2)^t/410

The function defined by f(t) above gives the number of bacteria in a population t minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?

Answer :

Question 7 :

The function f is defined by f(x ) = (x − 6)(x − 2)(x + 6). In the xy-plane, the graph of y = g(x) is the result of translating the graph of y = f(x) up 4 units. What is the value of g(0)?

Answer :

Question 8 :

In the linear function h, h(0) = 41 and h(1) = 40. Which equation defines h?

A)  h(x) = -x + 41

B)  h(x) = -x

C)  h(x) = -41x

D)  h(x) = -41

Answer :

Question 9 :

The regular price of a shirt at a store is $11.70. The sale price of the shirt is 80% less than the regular price, and the sale price is 30% greater than the store’s cost for the shirt. What was the store’s cost, in dollars, for the shirt?

Answer :

Question 10 :

A sample of oak has a density of 807 kilograms per cubic meter. The sample is in the shape of a cube, where each edge has a length of 0.90 meters. To the nearest whole number, what is the mass, in kilograms, of this sample?

A)  588

B)  726

C)  897

D)  1,107

Answer :

Question 11 :

A model predicts that the value of a collector's videocasette collection was $16,200 in 2011. The model also predicts that each year for the next 10 years, the collection's value, v, will increase by 6% of the previous year's value. Which equation best represents this model, where y is the number of years after 2011 when y ≤ 10?

A)  v = 0.06(16,200)^y

B)  v = 0.94(16,200)^y

C)  v = 1.06(16,200)^y

D)  v = 16,200(1.06)^y

Answer :

Question 12 :

f(x) = 4x² + 5x - 21

g(x) = f(x + 2)

Which of the following is an x-intercept of g(x) when it is plotted in the xy-plane so that y = g(x)?

A)  -21

B)  -5

C)  -3

D)  5

Answer :

Question 13 :

y = 2x² - 18x - 40

y = 2x - c

In the given system of equations, c is a constant. The graphs of the equations intersect at only one point, (a, b), in the xy-plane. What is the value of a?

Answer :

Question 14 :

On a partcular weekend, 5 times as many cars traveled southbound through a tollbooth than traveled northbound through the tollbooth. 5600 more cars traveled through the tollbooth heading southbound than traveled northbound. How many cars traveled through the tollbooth in both directions combined?

A)  1,400

B)  5,600

C)  7,000

D)  8,400

Answer :

Question 15 :

If cos x° = 1/2, what is the value of 1/sin(90 - x)°?

A)  1/2

B)  1

C)  2

D)  2√3/3

Answer :

Question 16 :

5x³ + bx² - 720x = 0

In the given equation, b is a positive integer constant. Which value could be a solution to the equation?

A)  -14

B)  -8

C)  10

D)  14

Answer :

Question 17 :

f(x) = 133(b)^x

When x increases by 1, f(x) increases by c%. Which of the following expresses c in terms of b?

A)  c = 133b/100

B)  c = 3b/100

C)  c = 100(b + 1)

D)  c = 100(b - 1)

Answer :

Question 18 :

The functions f anf g are defined by the given equations.

f(x) = 3 + |-2x - x²|

If f(-4) = c, where c is a constant, what is the value of g(c)?

Answer :

Question 19 :

In the xy-plane, the point (p, r) lies on the line with equation y = x + b, where b is a constant. The point with coordinates (2p, 5r) lies on the line with equation y = 2x + b. if p ≠ 0, what is the value of r/p?

A)  2/5

B)  3/4

C)  4/3

D)  5/2

Answer :

Question 20 :

(2x + p)(3x² - 48)(2x² + 7x - 10p) = 0

In the equation above, p is a constant. The sum of the solutions is equal to -5. What is the value of p?

Answer :

You might like these

Digital SAT Math Practice Test with Answers (Part - 1)

Digital SAT Math Practice Test with Answers (Part - 2)

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.