Digital ACT Practice Questions

Choose the best option for the underlined portion: Neither of the proposed transit routes avoid passing through environmentally sensitive coastal wetlands....

The writer is writing an essay on how bioluminescent organisms utilize chemical reactions to survive in the abyssal ocean zone. Which sentence provides the most...

In triangle ABC, side a = 7, side b = 9, and the measure of angle C is 60°. What is the length of side c?...

For what value of k does the matrix [[3, k], [4, 12]] have a determinant equal to 0?...

Given that i = sqrt(-1), what is the value of the expression i^43 + i^44 + i^45 + i^46?...

If log_3(x - 2) + log_3(x + 6) = 2, what is the value of x?...

In an arithmetic sequence, the 4th term is 19 and the 10th term is 49. What is the 25th term of this sequence?...

What is the sum of the infinite geometric series 18 - 12 + 8 - 16/3 + ...?...

A school debate team consists of 6 seniors and 5 juniors. How many different 4-person squads can be formed that contain exactly 2 seniors and 2 juniors?...

If vector u = and vector v = , what is the dot product u · v?...

An ellipse in the standard xy-coordinate plane has the equation (x - 2)^2 / 25 + (y + 1)^2 / 9 = 1. What is the distance between the two foci of this ellipse?...

For all values of theta where the expression is defined, which of the following is equivalent to (1 - sin^2(theta)) / (cos(theta) * sin(theta))?...

A carnival game charges $5 to play. A player draws one marble from a bag containing 3 gold marbles, 7 silver marbles, and 10 black marbles. Drawing a gold marbl...

What are the equations of the asymptotes of the hyperbola with equation x^2 / 16 - y^2 / 25 = 1?...

In triangle PQR, the measure of angle P is 45°, the measure of angle Q is 30°, and the side opposite angle Q has length 12. What is the length of side p, which ...

In three-dimensional space, what is the distance between the points A(2, -1, 5) and B(5, 3, -7)?...

What is the exact value of tan(5pi/3)?...

What is the real solution to the equation sqrt(2x + 15) - x = 0?...

A circle in the standard xy-coordinate plane is given by the equation x^2 + y^2 - 8x + 6y - 11 = 0. What is the radius of this circle?...

If matrix A = [[2, -1], [0, 3]] and matrix B = [[4, 1], [-2, 5]], what is the entry in row 1, column 2 of the product matrix AB?...

Which of the following complex numbers is equivalent to the expression (3 + 4i) / (1 - 2i)?...

When the polynomial P(x) = 2x^3 - 5x^2 + 4x - 9 is divided by (x - 3), what is the remainder?...

What is the value of the expression log_2(64) - log_5(125) + log_3(sqrt(27))?...

How many distinct 6-letter permutations can be formed using the letters in the word BANANA?...