Digital ACT Practice Questions

In $\triangle ABC$, the length of side $a$ is $8$ cm, the length of side $b$ is $11$ cm, and the measure of angle $C$ between them is $60^\circ$. What is the ex...

An ellipse centered at the origin in the standard $(x,y)$-coordinate plane has a major horizontal axis of length $14$ and a minor vertical axis of length $8$. W...

If $\log_2(x) + \log_2(x - 6) = 4$, what is the real solution for $x$?...

Vectors $\mathbf{u} = \langle 3, -4 \rangle$ and $\mathbf{v} = \langle k, 6 \rangle$ are perpendicular in the standard coordinate plane. What is the value of th...

How many distinct real solutions does the equation $3^{2x} - 10 \cdot 3^x + 9 = 0$ have?...

If $f(x) = 2x^2 - 3x + 1$ and $g(x) = x + 4$, what is the value of $(f \circ g)(-2)$?...

The restoration committee reviewed the historic municipal archive; discovering several nineteenth-century mayoral journals that had been presumed lost in the 19...

Having migrated over three thousand miles across the Pacific Ocean, the navigation patterns of the golden plover continue to astonish ornithologists. Which choi...

Despite widespread skepticism from traditional cartographers, Dr. Aris demonstrated that satellite radar could map subterranean aquifer boundaries with unpreced...

Neither the principal cellist nor the guest conductors was prepared for the sudden acoustic reverberations in the newly constructed concert hall. Which choice b...

An environmental biology lab measured the dissolved oxygen concentration (DO in mg/L) in a freshwater reservoir at varying depths during midsummer: • Depth 1 m:...

In a physics experiment testing electromagnetic induction, a student rotates a planar copper coil of area $0.05\text{ m}^2$ inside a uniform magnetic field of $...

A chemistry student measures the pH of four aqueous solutions at $25^\circ\text{C}$: • Solution 1: $[\text{H}^+] = 1.0 \times 10^{-3}\text{ M}$ • Solution 2: $[...

In the context of the maritime archaeology passage, the word 'insular' most nearly means:...

The passage indicates that tin discovered aboard the vessel likely originated from: (Based on the maritime archaeology passage)...

Which of the following inferences regarding the Bronze Age Mediterranean economy is best supported by the passage?...

What is the degree measure of the smaller angle between the hour hand and the minute hand of a standard 12-hour analog clock at precisely 3:40?...

How many distinct four-letter arrangements can be formed using the letters in the word 'KIDNEY' if each letter may be used at most once in each arrangement?...

What is the minimum value of the quadratic function $g(x) = 3x^2 - 12x + 19$?...

A rectangular garden has an area of $180$ square feet. If the length is $3$ feet more than three times the width, what is the perimeter, in feet, of the garden?...

The master ceramicist inspected each porcelain vase meticulously: looking for microscopic fissures before applying the cobalt glaze. Which choice best resolves ...

Neither of the two candidates who applied for the chief analytical director position were invited back for a second round of interviews. Which choice best corre...

The botanical expedition cataloged eighty distinct species of endemic orchids; however, adverse weather forced the researchers to abandon their lowland camp ear...

To who should the administrative staff forward the certified laboratory reports regarding water quality testing? Which choice best conforms to the conventions o...