Digital ACT Practice Questions

If f(x) = 3x - 5 and g(x) = x^2 + 2x, what is the value of g(f(3))?...

What is the period of the trigonometric function y = -3*sin(4x - pi/2) + 7?...

For what value of k will the quadratic equation 3x^2 - 12x + k = 0 have exactly one real solution?...

At what xy-coordinates do the parabola y = x^2 - 4x + 3 and the line y = 2x - 6 intersect?...

Suppose y varies directly as the square of x and inversely as z. If y = 18 when x = 3 and z = 4, what is the value of y when x = 5 and z = 10?...

Which of the following describes the set of all real numbers x that satisfy |3x - 7| >= 14?...

A dataset of 9 exam scores has a mean of 76. If a tenth student's score of 96 is added to the dataset, what is the new mean of the 10 scores?...

A circle has a radius of 12 inches. What is the area, in square inches, of a sector of this circle with a central angle of 75°?...

What is the sum of the measures of the interior angles of a convex polygon with 9 sides (a nonagon)?...

In 30°-60°-90° triangle XYZ, the length of the side opposite the 30° angle is 8. What is the perimeter of triangle XYZ?...

What is the slope of the perpendicular bisector of the line segment connecting the points A(1, 3) and B(7, 11)?...

For what range of real values of x is log_4(x) < 3?...

Working alone at a constant rate, pump A can empty a water reservoir in 6 hours, while pump B can empty the same reservoir in 9 hours. If both pumps operate sim...

What is the sum of the first 20 terms of the arithmetic sequence defined by a_n = 4n - 1?...

What is the horizontal asymptote of the rational function f(x) = (6x^2 - 5x + 1) / (2x^2 + 7)?...

A circular target has a radius of 10 inches. Concentric inside the target is a smaller circular bullseye with a radius of 4 inches. If a dart lands randomly on ...

A triangle has two sides of lengths 8 and 15. Which of the following CANNOT be the length of the third side?...

How many liters of a 10% saline solution must be mixed with 30 liters of a 50% saline solution to create a 35% saline solution?...

An airplane flies 600 miles with a tailwind in 2 hours. On the return trip flying into the same headwind, the flight takes 2.5 hours. What is the speed of the w...

In a circle centered at O, segment AB is a diameter. Point C lies on the circle such that angle CAB measures 35°. What is the measure of angle ABC?...

If matrix A = [[3, -2], [1, 4]] and matrix B = [[-1, 5], [2, 0]], what is the matrix 2A - 3B?...

What is the value of (3 + 2i)^2 in standard form a + bi?...

A radioactive isotope has a half-life of 8 days. If an initial laboratory sample contains 160 grams of the isotope, how many grams will remain after 32 days?...

A 20-foot ladder leans against a vertical wall, making an angle of 70° with the level ground. Which of the following expressions represents the height, in feet,...