Digital ACT Practice Questions

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,...

From a point on the ground 50 meters from the base of a monument, the angle of elevation to the top is 30°. What is the height of the monument in meters?...

What is the vertex of the parabola given by the equation y = -2x^2 + 12x - 11?...

If x = 2 is a root of the polynomial P(x) = x^3 - 4x^2 + x + 6, what are the other two roots?...

In a biology course, homework counts for 20% of the final grade, midterm exams count for 50%, and the final exam counts for 30%. If Maya has an 85 homework aver...

In the standard xy-coordinate plane, what are the coordinates of the reflection of the point P(-3, 5) across the line y = x?...

What is the least common multiple (LCM) of the algebraic monomials 12x^3 y^2 and 18x^2 y^4?...

What is the value of (27/8)^(-2/3)?...

In a circle with radius 10 cm, a chord has length 16 cm. What is the perpendicular distance, in centimeters, from the center of the circle to the chord?...

What are the coordinates of the point on the unit circle corresponding to an angle of 4pi/3 radians?...