All practice questions

5556 questions

Question 1441Question

The local public library has recently updated its lending policies to make resources more accessible. In an effort to encourage more community members to borrow books, the library board voted to dump late fees entirely. The directors hope this change will welcome back patrons who were discouraged by past penalties.

Which choice most precisely and clearly fits the tone and meaning of the sentence?

Show answer & explanation

Answer: eliminate

Answer

The correct option is 'eliminate' because it provides the most precise and stylistically appropriate word for removing library fees.
The word 'eliminate' is the most precise and appropriate choice because it fits the formal, professional tone of a library policy document and clearly conveys the permanent removal of the fees.

Step-by-Step Solution

1
Analyze the context and tone of the passage.
The passage describes an official policy change by a public library board, indicating that a formal, academic tone is required.
Understanding the context and tone helps narrow down the choices to those that match the register of the text.
2
Evaluate the word choices for meaning and precision.
'Dump' is too informal, 'banish' is too dramatic, and 'discard' is used for physical objects. Only 'eliminate' is formal and refers to removing fees.
Selecting the most precise and appropriately toned word ensures the sentence is clear and grammatically correct.

Key Concept

Selecting precise words that match the context and established tone of a passage.
Estimated Time:45s
Question 1442Question

Architects designing modern libraries must carefully balance open, collaborative spaces with quiet, isolated study areas. While high ceilings and glass partitions create an inviting, spacious atmosphere, they are often not conducive for maintaining the silence required in research rooms.

Which of the following choices is the most acceptable alternative to the underlined portion?

Show answer & explanation

Answer: conducive to

Answer

conducive to
The word 'conducive' must be followed by the preposition 'to' to form the standard English idiom meaning making a certain situation or outcome likely or possible. The context of library design requires an adjective-preposition combination that links the physical environment to the outcome of maintaining silence. Using 'to' satisfies this idiomatic requirement.

Step-by-Step Solution

1
Identify the underlined phrase and the word that requires a prepositional partner.
The adjective 'conducive' is underlined alongside the preposition 'for'.
This establishes that the question is testing idiomatic preposition usage after the adjective 'conducive'.
2
Evaluate the idiom 'conducive' + preposition to see which pairs correctly in standard English.
The correct idiomatic pair is 'conducive to', meaning helpful or favorable to a specific outcome.
Standard English conventions dictate that 'conducive' collocated with 'to' is the only accepted form.
3
Select the option that provides 'conducive to' to correct the sentence.
The choice 'conducive to' replaces 'conducive for' to make the sentence idiomatically correct.
This resolves the idiomatic error and conforms to official grammatical standards.

Key Concept

Idiomatic Preposition Collocation
Estimated Time:1m 0s
Question 1443Question

Modern oceanographers utilize advanced sonar technology to map the uncharted depths of the ocean floor. To analyze these areas, researchers rely on highly detailed three-dimensional maps of underwater topography. This scientific data is crucial for understanding plate tectonics and marine ecosystems.

Which choice best maintains the academic and professional tone established in the passage?

Show answer & explanation

Answer: NO CHANGE

Answer

NO CHANGE
The original phrasing 'rely on' is grammatically correct and fits seamlessly with the academic, objective, and professional tone established in the passage.

Step-by-Step Solution

1
Analyze the context and established tone of the passage.
The passage uses formal, scientific language such as 'utilize advanced sonar technology' and 'uncharted depths,' establishing an academic and professional tone.
Identifying the overall tone helps eliminate options that are too informal or excessively wordy.
2
Evaluate the underlined portion and the choices for tone consistency and grammar.
The original phrase 'rely on' is standard, professional, and grammatically correct. The option 'bank on' is too casual. The phrase 'place their absolute dependency upon' is unnecessarily wordy and pretentious. The option 'rely to' is ungrammatical because the verb 'rely' requires the preposition 'on'.
Comparing choices ensures the selected option is both grammatically sound and stylistically consistent with the rest of the text.

Key Concept

Tone Consistency
Estimated Time:1m 0s
Question 1444Question

Read the following sentence and determine which option best replaces the underlined portion:

Despite being a vocal proponent for renewable energy, the senator voted against the new environmental bill because of its regulatory loopholes.

Which of the following options represents the correct idiomatic phrasing for the underlined text?

Show answer & explanation

Answer: proponent of

Answer

proponent of
The correct answer is the option containing 'proponent of'. In standard written English, the noun 'proponent' must be paired with the preposition 'of' when expressing advocacy or support for a concept, cause, or policy. The phrase 'proponent of renewable energy' is the correct idiomatic construction in this context.

Step-by-Step Solution

1
Identify the target noun and the preposition paired with it.
The target phrase is 'proponent for', which pairs the noun 'proponent' with the preposition 'for'.
Isolating the noun and its preposition allows us to evaluate whether the pairing is idiomatic.
2
Recall the correct idiomatic preposition that follows the noun 'proponent'.
In standard English, 'proponent' is followed by the preposition 'of' to form the idiom 'proponent of' (e.g., 'a proponent of renewable energy').
Matching the noun with its conventional idiomatic preposition ensures grammatical accuracy and clarity.

Key Concept

Idiomatic noun-preposition collocations
Question 1445Question

If x=3x = -3, what is the value of the expression 2x24(x1)+x52x^2 - 4(x - 1) + |x - 5|?

Show answer & explanation

Answer: 42

Answer

42
The correct answer is 42. Following the order of operations, we first substitute x=3x = -3 to get 2(3)24(31)+352(-3)^2 - 4(-3 - 1) + |-3 - 5|. First, evaluate grouping terms: (31)=4(-3 - 1) = -4 and 35=8=8|-3 - 5| = |-8| = 8. Next, evaluate exponents: (3)2=9(-3)^2 = 9. Then, perform multiplications: 2×9=182 \times 9 = 18 and 4×4=16-4 \times -4 = 16. Finally, perform addition from left to right: 18+16+8=4218 + 16 + 8 = 42.

Step-by-Step Solution

1
Substitute x=3x = -3 into the given expression.
2(3)24((3)1)+(3)52(-3)^2 - 4((-3) - 1) + |(-3) - 5|
This sets up the expression for numerical evaluation.
2
Evaluate the terms inside the parentheses and absolute value bars.
Parentheses: 31=4-3 - 1 = -4; Absolute value: 35=8=8|-3 - 5| = |-8| = 8
According to the order of operations (PEMDAS), operations inside grouping symbols must be performed first.
3
Evaluate the exponential term.
(3)2=9(-3)^2 = 9
Exponents must be calculated after grouping symbols and before multiplication.
4
Perform the multiplications from left to right.
2(9)=182(9) = 18 and 4(4)=16-4(-4) = 16
Multiplication takes precedence over addition and subtraction.
5
Add the remaining values.
18+16+8=4218 + 16 + 8 = 42
Addition and subtraction are performed from left to right to get the final result.

Key Concept

Evaluating algebraic expressions containing variables, exponents, parentheses, and absolute values using the standard order of operations (PEMDAS).
Estimated Time:1m 15s
Question 1446Question

Choose the option that best answers the question.

Deep beneath the ocean's surface, where sunlight cannot penetrate, many marine organisms have evolved the ability to produce their own light. This biological phenomenon, known as bioluminescence, serves several critical functions. Some creatures use flashes of light to scare off predators, while others employ glowing lures to attract prey. For instance, the anglerfish utilizes a luminous bulb suspended above its mouth to draw in curious organisms, which are then quickly captured. In this dark and high-pressure environment, bioluminescence is [not just a cool party trick] but an essential tool for survival.

Which choice best maintains the established tone of the passage?

Show answer & explanation

Answer: not merely a decorative feature

Answer

not merely a decorative feature
The correct answer 'not merely a decorative feature' is appropriate because it uses a formal, objective, and neutral tone that perfectly matches the rest of the scientific passage, while stating the point concisely.

Step-by-Step Solution

1
Analyze the established tone of the passage.
The passage uses a formal, objective, and academic tone to explain the scientific process of bioluminescence.
Stylistic appropriateness requires the underlined portion to match the writing register of the surrounding text.
2
Evaluate the underlined phrase against the established tone.
The phrase 'not just a cool party trick' is highly colloquial and conversational, causing a tone clash with the scientific context.
Colloquialisms and informal expressions are inappropriate in academic essays on the ACT English section.
3
Evaluate the choices to find the one that is grammatically correct, concise, and stylistically appropriate.
The choice stating 'not merely a decorative feature' matches the formal tone and is concise. The other choices are either too formal, overly verbose, or redundant.
The correct answer must restore proper tone and maintain conciseness without introducing grammatical errors.

Key Concept

Stylistic Appropriateness
Question 1447Question

For decades, local archivists have preserved the letters of pioneering botanist Isabella Sinclair. Her correspondence provides a fascinating insight of the challenges faced by female scientists in the nineteenth century. Which of the following choices best replaces the underlined portion to make the sentence idiomatic?

Show answer & explanation

Answer: insight into

Answer

insight into
The correct option is 'insight into' because the noun 'insight' requires the preposition 'into' to idiomatically connect it to the object of that understanding.

Step-by-Step Solution

1
Identify the noun that requires a prepositional partner, which is 'insight'.
The noun 'insight' is being used to link to 'the challenges'.
Idiomatic word choice questions on the ACT often test the specific prepositions that must follow certain nouns, verbs, or adjectives.
2
Determine which preposition is idiomatically correct when paired with the noun 'insight'.
In standard English, one has 'insight into' a topic, situation, or issue.
Other prepositions, such as 'of', 'about', or 'to', are unidiomatic in this specific context and represent common usage errors.

Key Concept

Idiomatic Noun-Preposition Pairs
Question 1448Question

The following passage is from a paper about archaeological linguistics.

For decades, the undeciphered inscriptions on the Phaistos Disc puzzled archaeologists, who struggled to identify any recognizable phonetic patterns. Recently, however, researchers employing computational linguistics have begun to map the recurring symbol sequences. These algorithms analyze the structural syntax, looking to see if they can catch a drift of the underlying linguistic rules of the Minoan civilization.

Which of the following options, if substituted for the underlined portion, best preserves the passage's established tone?

Show answer & explanation

Answer: systematically deducing

Answer

The phrase 'systematically deducing' is correct because it maintains the formal, objective tone of the surrounding text while adhering to proper English idiom.
The phrase 'systematically deducing' is correct because it utilizes vocabulary that is formal, precise, and objective, which maintains the established scholarly tone of the passage.

Step-by-Step Solution

1
Analyze the surrounding context to determine the tone.
The passage establishes a formal, academic register through word choices like 'undeciphered inscriptions,' 'computational linguistics,' and 'structural syntax.'
Identifying the author's tone is necessary to find an option that matches that register consistently.
2
Evaluate the underlined portion for tone consistency.
The phrase 'looking to see if they can catch a drift of' is an informal, colloquial idiom, which represents a jarring shift in tone.
This step determines whether a change is needed.
3
Assess the remaining options to find one that is both tone-consistent and grammatically correct.
The phrase 'systematically deducing' is formal and clear. In contrast, 'hermeneutically prognosticating' is overly pretentious, and 'capable to deduce' is grammatically incorrect because 'capable' must be paired with 'of' rather than 'to'.
This step eliminates incorrect distractors based on tone register and grammatical rules.

Key Concept

Tone Consistency
Estimated Time:1m 0s
Question 1449Question

Passage Excerpt:
In response to the growing national highway system, graphic designers developed FHWA Series fonts. These sans-serif typefaces were specifically engineered to improve legibility for drivers traveling at high speeds. [1]

The writer wants to add a sentence at Point [1] that provides a specific, concrete illustration of how the design of the characters achieved maximum readability. Which choice best accomplishes this goal?

Show answer & explanation

Answer: The characters featured wide counters—the open spaces inside letters like *o* and *b*—which prevented the letters from appearing as solid blobs from a distance.

Answer

The choice that describes characters featuring wide counters to prevent letters from appearing as solid blobs.
The correct option describes the characters' wide counters and explains how this design element keeps letters distinct at a distance, directly fulfilling the rhetorical goal of illustrating how the design achieved legibility.

Step-by-Step Solution

1
Identify the specific rhetorical goal requested in the prompt.
The prompt requires a sentence that provides a specific, concrete illustration of how the design of the characters achieved readability.
Understanding the precise prompt criteria allows for accurate evaluation of the choices.
2
Evaluate the choices to see which one details design elements of the characters (such as shape, spacing, or strokes) that directly aid legibility.
The choice detailing the wide counters inside letters is the only one that focuses on character design elements.
This matches the rhetorical goal of showing how design achieved legibility.
3
Check the selected choice for grammatical correctness.
The correct choice is grammatically sound, whereas other choices either fail the rhetorical goal or contain grammatical errors like comma splices.
The correct option must be both grammatically correct and rhetorically appropriate.

Key Concept

Meeting Specific Rhetorical Goals
Estimated Time:1m 0s
Question 1450Question

During the archaeological excavation in Egypt, the team uncovered a hidden chamber inside the tomb. Inside the chamber, they found several wooden chests, each of which contained ancient artifacts that were very old.

Which choice most effectively eliminates redundancy in the underlined portion of the sentence?

Show answer & explanation

Answer: each containing ancient artifacts

Answer

each containing ancient artifacts
The correct answer, 'each containing ancient artifacts', is the most concise option because it eliminates the redundant descriptor 'that were very old' (since 'ancient' already implies that the artifacts are very old). It is also grammatically correct, using a participial phrase to modify 'chests' without creating any punctuation errors.

Step-by-Step Solution

1
Identify the redundant phrasing in the underlined segment.
The word 'ancient' already means 'very old,' so including both phrases is repetitive.
ACT English questions require eliminating words that repeat ideas already expressed.
2
Evaluate the remaining options for grammatical correctness and conciseness.
The option containing a comma splice joins independent clauses incorrectly. The option with the semicolon creates a dependent clause fragment. The option using a participial phrase is grammatically correct and concise.
The correct choice must not introduce new grammatical errors while removing redundancy.

Key Concept

Eliminating Redundancy
Estimated Time:1m 0s
Question 1451Question

Read the following passage and choose the option that best corrects the underlined portion.

The mimic octopus—a remarkable marine creature discovered in the late 1990s off the coast of Sulawesi, possesses the unique ability to impersonate other sea animals. By altering its body shape and color, it can mimic venomous species such as lionfish, sea snakes, and flatfish. This behavior allows the octopus to deter predators that would otherwise consider it an easy meal.

Which of the following choices represents the correct punctuation for the underlined portion of the sentence?

Show answer & explanation

Answer: Sulawesi—possesses

Answer

Sulawesi—possesses
The correct answer properly balances the punctuation of the sentence. The nonessential parenthetical phrase that describes the mimic octopus begins with an em dash ('—a remarkable marine creature...'). To maintain structural consistency, the phrase must also end with an em dash before the main verb of the sentence ('possesses').

Step-by-Step Solution

1
Identify the syntactic role of the underlined punctuation and surrounding text.
The phrase starting with '—a remarkable marine creature...' is a nonessential explanatory phrase (an appositive) that describes the mimic octopus.
Recognizing that this is a parenthetical or nonessential element helps determine that it must be set off by matching punctuation marks.
2
Check the punctuation at the beginning of the nonessential phrase.
The phrase is introduced by an em dash ('—').
Nonessential phrases set off by dashes must use a pair of dashes (one at the beginning and one at the end) to maintain punctuation consistency.
3
Select the option that properly closes the nonessential phrase with a matching dash.
The choice containing 'Sulawesi—possesses' correctly closes the nonessential phrase with a dash and connects it back to the main verb.
This maintains punctuation consistency without introducing fragments or run-on sentences.

Key Concept

Punctuation consistency with nonessential parenthetical phrases (dash pairs)
Estimated Time:1m 0s
Question 1452Question

Evaluate the following three mathematical expressions and arrange them in order from least to greatest value.

Drag items to arrange them in the correct order

Show answer & explanation

Answer

The correct order of the expressions from least to greatest value is 4×(23)4 \times (2 - 3), followed by 42×34 - 2 \times 3, and then (42)×3(4 - 2) \times 3.
Evaluating each expression using the order of operations results in values of 2-2, 66, and 4-4. Arranging these values in increasing order yields 4<2<6-4 < -2 < 6, which corresponds to the sequence 4×(23)4 \times (2 - 3), followed by 42×34 - 2 \times 3, and then (42)×3(4 - 2) \times 3.

Step-by-Step Solution

1
Evaluate the expression 42×34 - 2 \times 3.
2-2
Apply the order of operations (PEMDAS) by performing the multiplication first: 2×3=62 \times 3 = 6. Then perform the subtraction: 46=24 - 6 = -2.
2
Evaluate the expression (42)×3(4 - 2) \times 3.
66
Apply the order of operations by simplifying the subtraction inside the parentheses first: 42=24 - 2 = 2. Then perform the multiplication: 2×3=62 \times 3 = 6.
3
Evaluate the expression 4×(23)4 \times (2 - 3).
4-4
Apply the order of operations by simplifying the subtraction inside the parentheses first: 23=12 - 3 = -1. Then perform the multiplication: 4×(1)=44 \times (-1) = -4.
4
Compare the evaluated values to order them from least to greatest.
4<2<6-4 < -2 < 6
Comparing the values reveals that 4-4 is the smallest value, 2-2 is the middle value, and 66 is the largest value.

Key Concept

Order of operations (PEMDAS) requires performing calculations in parentheses first, followed by exponents, then multiplication and division (from left to right), and finally addition and subtraction (from left to right).
Question 1453Question

The following is a paragraph from an essay about the origin of the word "silhouette":

In mid-eighteenth-century France, traditional painted portraits were a luxury reserved solely for the wealthy aristocracy. For the emerging middle class, a much cheaper alternative arose: the profile portrait, created by tracing the shadow of a subject’s face onto black paper and cutting it out. These inexpensive cutouts were named "silhouettes" after Étienne de Silhouette, a French finance minister whose brief tenure in 1759 was marked by severe economic austerity measures. Because Silhouette advocated for extreme penny-pinching and cut his own pension to save state funds, his name became synonymous with anything cheap, minimal, or cut short. Consequently, the term "silhouette" was applied derisively to these simple paper cutouts to suggest they were the portraits of a cheapskate, though the art form eventually outlived its negative connotations.

The writer is considering adding the following sentence to the end of the paragraph:

"Silhouette later retired to his estate in Bry-sur-Marne, where he lived quietly until his death in 1767."

Should the writer make this addition?

Show answer & explanation

Answer: No, because it shifts the focus of the paragraph from the origins of the word "silhouette" to unrelated biographical details about the man himself.

Answer

No, because it shifts the focus of the paragraph from the origins of the word "silhouette" to unrelated biographical details about the man himself.
The paragraph is focused on explaining the transition from expensive portraits to profile cutouts and why these cutouts were named "silhouettes" (the etymology and historical context of the word). The proposed sentence introduces biographical facts about Silhouette's retirement and death, which shifts the focus away from this main idea. Therefore, the sentence should not be added.

Step-by-Step Solution

1
Analyze the main focus of the paragraph.
The paragraph explains the origin of profile paper cutouts and how they came to be called "silhouettes" after Étienne de Silhouette due to his association with cheapness and austerity.
Identifying the main focus is essential for determining whether new information is relevant or distracting.
2
Evaluate the relevance of the proposed sentence.
The proposed sentence ("Silhouette later retired to his estate in Bry-sur-Marne, where he lived quietly until his death in 1767.") provides biographical facts about Silhouette's later life and death.
We must compare the content of the proposed sentence with the established topic of the paragraph.
3
Determine whether to add the sentence and select the correct justification.
The sentence should not be added because it introduces irrelevant biographical facts, shifting the focus away from the word's origin. Therefore, the correct choice is the option that rejects the addition for this reason.
This completes the evaluation of relevance and matches the decision and reasoning to the correct option.

Key Concept

Evaluating Relevance for Adding or Deleting Content
Estimated Time:1m 15s
Question 1454Question

The following paragraph contains numbered sentences.

[1] In 1948, Bernard Silver and Norman Joseph Woodland set out to design a system that could automatically read product information during supermarket checkout. [2] Woodland’s initial ideas were inspired by Morse code, but he struggled to translate those dots and dashes into a scannable format. [3] To clear his head, he took a trip to a beach in Miami, where he sat in a chair and idly ran his fingers through the sand. [4] By drawing these vertical patterns in the sand, he realized he had conceptualized the very first barcode.

The author wants to add the following sentence to the paragraph:
'He realized that extending the dots and dashes downward would create thin and thick lines.'
To make the paragraph most logical, after which sentence should this sentence be placed?

Show answer & explanation

Answer: After Sentence 3

Answer

After Sentence 3
Placing the sentence after Sentence 3 is correct because it creates a logical progression of ideas. Sentence 3 establishes the setting (a beach in Miami) and describes the action of running fingers through the sand. The added sentence describes the realization that extending dots and dashes downward would create lines. Sentence 4 then refers back to both preceding sentences by mentioning 'drawing these vertical patterns [from the added sentence] in the sand [from Sentence 3].' This makes the insertion after Sentence 3 the only location that maintains logical coherence and avoids dangling pronoun/noun references.

Step-by-Step Solution

1
Analyze the target sentence for logical connectives and pronouns.
The target sentence refers to 'the dots and dashes' and introduces the concept of 'thin and thick lines'.
This establishes that the target sentence must follow the introduction of dots and dashes and precede the mention of the lines.
2
Locate where 'dots and dashes' are first introduced in the passage.
Sentence 2 introduces 'Morse code' and 'those dots and dashes'.
The target sentence cannot be placed before Sentence 2 because it would refer to dots and dashes before they are introduced.
3
Examine the connection between the target sentence and the remaining sentences.
Sentence 3 introduces the 'sand'. Sentence 4 refers to drawing 'these vertical patterns in the sand'. The target sentence describes the creation of the vertical patterns ('thin and thick lines'). Placing the target sentence after Sentence 3 resolves the references: the sand from Sentence 3 is combined with the lines from the target sentence to form the action in Sentence 4.
This positioning ensures a logical sequence and maintains correct pronoun-antecedent agreement.

Key Concept

Sentence Reordering and Placement
Question 1455Question

In 1938, museum curator Marjorie Courtenay-Latimer noticed a strange blue fish among a local trawler's catch. This fish was a coelacanth, which had been previously thought by scientists to have gone extinct and died out millions of years ago. Courtenay-Latimer contacted chemist J.L.B. Smith to identify the specimen, confirming the survival of a lineage dating back 400 million years.

Which choice best maintains the clear, concise style of the passage?

Show answer & explanation

Answer: This fish was a coelacanth, thought by scientists to have gone extinct millions of years ago.

Answer

This fish was a coelacanth, thought by scientists to have gone extinct millions of years ago.
The correct option is the most concise and direct revision of the underlined portion. By using a participial modifier ('thought by scientists to have gone extinct millions of years ago'), it eliminates both the wordy relative clause and the redundant synonyms 'gone extinct' and 'died out' present in the original sentence.

Step-by-Step Solution

1
Analyze the underlined portion for conciseness and redundancy.
The original phrasing contains redundant synonyms ('gone extinct' and 'died out') and relies on an overly wordy passive-voice structure ('which had been previously thought by').
ACT English requires eliminating repetitive words and preferring active, concise structures.
2
Evaluate the choices for grammatical correctness and clarity.
The option containing a comma splice and the option starting with 'Which' that creates a fragment are grammatically incorrect.
Revisions that fix wordiness must not introduce new sentence structure errors.
3
Select the option that is both grammatically correct and the most concise.
The phrasing that uses a past participial modifier ('thought by scientists...') is grammatically correct and removes all redundant language.
This option preserves the author's intended meaning while using the fewest words.

Key Concept

Eliminating Wordiness
Question 1456Question

Dendrochronologists compare these rings to a reference database; they establish a chronological timeline that pinpoints the exact year the wood was harvested.

Which of the following choices best replaces the underlined portion of the sentence to ensure the passage is clear, concise, and grammatically correct?

Show answer & explanation

Answer: they establish a timeline that pinpoints

Answer

they establish a timeline that pinpoints
The correct choice removes the redundant adjective 'chronological' before 'timeline' while maintaining the necessary independent clause structure to follow the semicolon. Since a timeline is chronological by its very nature, using both words is repetitive.

Step-by-Step Solution

1
Identify any redundant or wordy language within the underlined portion.
The phrase 'chronological timeline' is redundant because a timeline is, by definition, chronological.
Recognizing redundancy helps narrow the choices to those that are concise and clear.
2
Evaluate the remaining options for grammatical correctness within the sentence structure.
The clause following the semicolon must be independent. The option beginning with 'because' creates a dependent clause fragment, and the option with a comma before 'it' results in a comma splice.
Eliminating options with grammatical errors ensures the final selection is both concise and grammatically correct.

Key Concept

Eliminating Redundancy
Estimated Time:1m 0s
Question 1457Question

Many architectural historians praise the geodesic dome, popularized by Buckminster Fuller in the mid-twentieth century, for its structural efficiency and modern aesthetic. The dome distributes stress evenly throughout its triangular framework, allowing it to support heavy loads without internal columns. [1] Indeed, geodesic domes are notoriously difficult to heat and cool efficiently due to their vast, open volume and tendency to collect warm air at the top.

Which choice provides the most logical transition at the underlined portion [1] from the preceding sentence?

Show answer & explanation

Answer: However,

Answer

The transition word 'However,' is the correct choice because it establishes a clear contrast between the structural benefits of geodesic domes and their thermal inefficiency.
The transition word 'However,' is correct because it properly signals the contrast between the positive structural characteristics of the geodesic dome and its negative energy efficiency attributes.

Step-by-Step Solution

1
Analyze the relationship between the first sentence (which highlights the geodesic dome's strength and structural efficiency) and the second sentence (which discusses its heating and cooling difficulties).
The relationship between the two sentences is one of contrast, as the second sentence introduces a major drawback.
Determining the logical connection is necessary to choose the correct transition type.
2
Evaluate the function of the transition in each option to see which one expresses contrast.
The option containing 'However,' is the only one that expresses contrast. The option containing 'NO CHANGE' (Indeed) expresses emphasis, 'Consequently,' expresses cause-and-effect, and 'Additionally,' expresses addition.
Matching the logical relationship of the transition to the relationship between the sentences is required to find the correct choice.

Key Concept

Sentence-Level Transitions
Question 1458Question

Four mathematical expressions are shown below:

* Expression 1: 4×(53)32215÷3\frac{4 \times (5 - 3)^3}{2^2} - 15 \div 3
* Expression 2: 82×(35)2÷8|-8 - 2| \times (3 - 5)^2 \div 8
* Expression 3: 244×3+23÷424 - 4 \times 3 + 2^3 \div 4
* Expression 4: 3×(47)224+63 \times (4 - 7)^2 - | -2^4 + 6 |

Arrange these expressions in order from least to greatest value.

Drag items to arrange them in the correct order

Show answer & explanation

Answer

Expression 1, Expression 2, Expression 3, Expression 4
Evaluating each expression using the correct order of operations yields the values 3, 5, 14, and 17, respectively. Ordering these values from least to greatest gives the sequence of Expression 1, Expression 2, Expression 3, and Expression 4.

Step-by-Step Solution

1
Evaluate Expression 1: 4×(53)32215÷3\frac{4 \times (5 - 3)^3}{2^2} - 15 \div 3
33
First simplify the expression inside the parentheses: 53=25 - 3 = 2. Next, evaluate the exponents: 23=82^3 = 8 and 22=42^2 = 4. Then perform multiplication and division from left to right: 4×84=324=8\frac{4 \times 8}{4} = \frac{32}{4} = 8 and 15÷3=515 \div 3 = 5. Finally, perform subtraction: 85=38 - 5 = 3.
2
Evaluate Expression 2: 82×(35)2÷8|-8 - 2| \times (3 - 5)^2 \div 8
55
Simplify inside the absolute value brackets and parentheses first: 82=10-8 - 2 = -10, and its absolute value is 10=10|-10| = 10. Also, 35=23 - 5 = -2. Next, evaluate the exponent: (2)2=4(-2)^2 = 4. Then perform multiplication and division from left to right: 10×4=4010 \times 4 = 40, and 40÷8=540 \div 8 = 5.
3
Evaluate Expression 3: 244×3+23÷424 - 4 \times 3 + 2^3 \div 4
1414
Evaluate the exponent first: 23=82^3 = 8. Next, perform multiplication and division from left to right: 4×3=124 \times 3 = 12 and 8÷4=28 \div 4 = 2. Finally, perform addition and subtraction from left to right: 2412+2=12+2=1424 - 12 + 2 = 12 + 2 = 14.
4
Evaluate Expression 4: 3×(47)224+63 \times (4 - 7)^2 - | -2^4 + 6 |
1717
Simplify inside the parentheses: 47=34 - 7 = -3, and evaluate its square: (3)2=9(-3)^2 = 9. Then multiply: 3×9=273 \times 9 = 27. For the absolute value expression, evaluate the exponent first: 24=(24)=16-2^4 = -(2^4) = -16. Add: 16+6=10-16 + 6 = -10, and take its absolute value: 10=10|-10| = 10. Finally, perform subtraction: 2710=1727 - 10 = 17.
5
Compare the evaluated values to order the expressions from least to greatest.
3<5<14<173 < 5 < 14 < 17
Comparing the values gives the sequence: Expression 1 (value of 3), Expression 2 (value of 5), Expression 3 (value of 14), and Expression 4 (value of 17).

Key Concept

Order of Operations (PEMDAS)
Question 1459Question

During the Edo period in Japan, artists perfected the genre of woodblock printing known as ukiyo-e. These vibrant prints, which depicted scenes of theater, travel, and daily life, became highly popular among the merchant class. Because this collaborative production method involved an artist, a carver, and a publisher, workshops could easily mass-produce the prints for a growing audience.

Which choice most effectively punctuates the underlined portion of the passage?

Show answer & explanation

Answer: NO CHANGE

Answer

NO CHANGE
The underlined portion is correct as written. The relative clause starting with 'which' is nonessential because it provides extra descriptive information about 'prints' that is not necessary to identify them. Nonessential clauses must be set off from the rest of the sentence with commas both before and after the clause.

Step-by-Step Solution

1
Identify the clause embedded within the sentence.
The clause is 'which depicted scenes of theater, travel, and daily life'.
Determining the boundaries of the clause helps analyze its punctuation needs.
2
Determine if the clause is essential (restrictive) or nonessential (nonrestrictive) to the meaning of the sentence.
The clause is nonessential because 'These vibrant prints' is already specific; the clause only adds descriptive detail.
Nonessential elements must be set off with a pair of commas, whereas essential elements should not have commas.
3
Select the option that correctly sets off this nonessential relative clause with two commas.
The correct choice is the original phrasing, which has a comma before 'which' and a comma after 'life'.
Only the correct choice provides balanced punctuation for the nonessential clause without introducing errors like semicolons or restrictive relative pronouns.

Key Concept

Commas with Nonessential and Parenthetical Elements
Estimated Time:1m 0s
Question 1460Question

What is the value of the expression 4×(13)210÷24 \times (1 - 3)^2 - 10 \div 2?

Show answer & explanation

Answer: 1111

Answer

11
Evaluating the expression following PEMDAS rules: first compute inside the parentheses to get 2-2, then square it to get 44. Next, perform multiplication (4×4=164 \times 4 = 16) and division (10÷2=510 \div 2 = 5). Finally, subtract the division result from the multiplication result (165=1116 - 5 = 11).

Step-by-Step Solution

1
Evaluate the expression inside the parentheses.
13=21 - 3 = -2
According to the order of operations (PEMDAS), parentheses must be evaluated first.
2
Evaluate the exponent.
(2)2=4(-2)^2 = 4
Exponents are evaluated after parentheses and before multiplication or division.
3
Perform the multiplication and division from left to right.
4×4=164 \times 4 = 16 and 10÷2=510 \div 2 = 5
Multiplication and division have equal priority and are performed from left to right.
4
Perform the subtraction.
165=1116 - 5 = 11
Addition and subtraction have the lowest priority and are performed last.

Key Concept

Order of Operations (PEMDAS)
PreviousPage 73 / 278Next
All practice questions — ACT | Examkin