All practice questions

If $\frac{3}{4}(8x - 12) - \frac{1}{2}(2x - 6) = 18$, what is the value of $5x$?

Active galactic nuclei are some of the most energetic phenomena in the universe, frequently influencing the evolution of their host galaxies. Recently, astronomers studying the hyperluminous infrared galaxy W2246-0526 observed massive outflows of gas turbulent enough to destabilize the interstellar _______ outflows are likely driven by the intense radiation pressure generated by the central supermassive black hole.

Which choice completes the text so that it conforms to the conventions of Standard English?

In the equation $3(4x + b) - 2(x - 5) = 2(5x + 8)$, $b$ is a constant. If the equation has infinitely many solutions for $x$, what is the value of $b$?

The saguaro cactus (*Carnegiea gigantea*), which is native to the Sonoran Desert of North America, is highly renowned for its ability to withstand extreme, prolonged drought. To survive in these incredibly arid desert environments, the plant has developed several key physiological adaptations: it stores water in its thick stem, absorbs sudden rainfall with a shallow root system, and ______.

Which choice completes the text so that it conforms to the conventions of Standard English?

The passage below is missing a punctuation mark to set off a nonessential element. Based on the rules of Standard English conventions, write the single punctuation mark that must be placed in the blank to complete the sentence correctly.

In the $xy$-plane, line $l$ passes through the points $(-2, -3)$ and $(2, 5)$. Line $k$ is parallel to line $l$ and has a $y$-intercept of $(0, -1)$. If the point $(a, 9)$ lies on line $k$, what is the value of $a$?

Although she started late in life, Mexican-American botanist Ynes Mexia became one of the most successful plant collectors of the early twentieth century. Traveling extensively throughout North and South America, Mexia gathered nearly 150,000 specimens, many of which were previously unknown to science. Having begun her botanical career at the age of fifty-five, _______

Which choice completes the text so that it conforms to the conventions of Standard English?

Located in the asteroid belt between Mars and Jupiter, the dwarf planet Ceres is the largest object in that region. Ceres _______ contains a significant amount of water ice beneath its rocky crust. This discovery has led scientists to study the celestial body for clues about the early solar system.

Which choice completes the text so that it conforms to the conventions of Standard English?

Under the leadership of the new director, the council of local organic farmers and food distributors, which recently convened to draft guidelines for the regional farmers' market, has decided that ______ will implement a strict zero-waste policy starting next season.

Which choice completes the passage so that it conforms to the conventions of Standard English?

Complete the passage with a word that maintains a parallel structure within the sentence.

The passage below contains a blank where a punctuation mark is missing. What is the single punctuation mark that must fill the blank to make the sentence grammatically correct?

German meteorologist Alfred Wegener noticed that the coastlines of South America and Africa fit together like puzzle pieces.

To ensure that the introductory modifying phrase 'Noticing this striking geographical alignment' logically modifies the correct subject, what name or pronoun should fill the blank?

If $3(x - 2) = -x + 14$, what is the value of $x$?

In the $xy$-plane, line $l_1$ passes through the origin and has a positive slope $m$, where $m > 1$. Line $l_2$ is perpendicular to line $l_1$ and has a $y$-intercept of $(0, 10)$. The two lines intersect at point $P$. If the distance from point $P$ to the $y$-axis is $4$, what is the value of $m$?

Eunice Newton Foote was an American scientist who conducted early experiments on climate science. In the passage below, a punctuation mark is missing to properly set off a nonessential relative clause. Which punctuation mark must be placed in the blank to ensure the sentence conforms to the rules of Standard English conventions?

The Venus flytrap (*Dionaea muscipula*) is a carnivorous plant native to subtropical wetlands. To capture prey, the plant relies on specialized leaves that trigger when hairs are touched, snap shut in a fraction of a second, and ______ the trapped insect over several days. Which choice completes the text so that it conforms to the conventions of Standard English?

In studies of linguistic relativity, researchers analyze how grammatical structures shape cognitive categorization. Some languages require speakers to specify the source of their information through evidential markers, whereas others do not. In an experiment comparing Turkish and English speakers, researchers found that these grammatical differences influence memory ______ English speakers were less likely to remember the source of a witnessed event if it was not explicitly stated in conversation.

Which choice completes the text so that it conforms to the conventions of Standard English?

Beneath the sunlit surface of the Black Sea lies a highly unusual marine environment. Below a depth of approximately 150 meters, the water contains virtually no dissolved oxygen. The Black Sea's anoxic zone _______ prevents organic materials from decomposing rapidly. Consequently, wooden shipwrecks dating back to the Byzantine Empire remain remarkably intact, offering archaeologists an unprecedented window into ancient maritime history.

Which choice completes the text so that it conforms to the conventions of Standard English?

The graph of the linear function $f$ in the $xy$-plane has a $y$-intercept of $(0, b)$ and an $x$-intercept of $(a, 0)$, where $a$ and $b$ are nonzero constants. If $3a = -4b$, which of the following is the slope of the graph of $f$?

Which form of the verb 'use' correctly completes the sentence to conform to the conventions of Standard English?