Tüm alıştırma soruları

Soru 4621Soru →

In the high-altitude expanse of Chile's Atacama Desert, astronomers utilize advanced telescopes to observe distant galaxies. The dry atmosphere of this arid region provides unparalleled clarity, allowing researchers to capture light that has traveled for billions of years.

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

The dry atmosphere of this arid region

The dry atmosphere

Because the dry atmosphere of this region

The atmosphere is dry, it

Cevabı ve açıklamayı göster

Cevap: The dry atmosphere

Cevap

The option that reads 'The dry atmosphere' is the correct choice because it is the most concise option that eliminates the redundant synonym 'arid' without introducing any grammatical errors.

The correct option is the most concise choice that successfully removes the synonym redundancy. Since 'dry' and 'arid' have the same meaning, using both is repetitive. Simply using 'The dry atmosphere' expresses the intended meaning clearly and economically.

Adım Adım Çözüm

1

Identify the redundancy in the underlined phrase.

The words 'dry' and 'arid' both describe a lack of moisture, meaning they are synonyms. Using both in the same phrase is redundant.

ACT English questions require eliminating unnecessary words that repeat information already stated or implied.

2

Evaluate the remaining choices for conciseness and grammatical correctness.

The option starting with 'Because' creates a dependent clause, resulting in a sentence fragment. The option reading 'The atmosphere is dry, it' creates a comma splice. The option reading 'The dry atmosphere' removes the redundancy and is grammatically correct.

The correct choice must not only eliminate redundancy but also maintain proper sentence structure.

Anahtar Kavram

Redundancy occurs when a sentence uses two or more words that express the same meaning. To fix it, remove the repetitive words while ensuring the sentence remains grammatically complete.

Soru 4622Soru →

Identify the subject that is logically modified by the introductory participial phrase. Which phrase, 'the archaeologist' or 'the coordinates', should fill the blank to ensure the sentence is grammatically correct?

Aşağıdaki boşlukları doldurun

Having studied the ancient map for hours, finally identified the entrance to the hidden tomb.

Cevabı ve açıklamayı göster

Cevap

the archaeologist

The introductory participial phrase 'Having studied the ancient map for hours' describes an action that requires a conscious agent capable of studying. An archaeologist can study a map, whereas 'the coordinates' cannot. Therefore, placing 'the archaeologist' as the subject of the main clause immediately following the comma ensures the modifier is placed correctly and does not dangle.

Adım Adım Çözüm

1

Analyze the introductory modifying phrase 'Having studied the ancient map for hours' to identify the action being performed (studying).

The action of studying requires a logical agent capable of performing this task, such as a person.

To avoid a dangling modifier, the subject immediately following the comma must be the entity performing the action in the introductory phrase.

2

Evaluate the two options ('the archaeologist' and 'the coordinates') to see which one can logically perform the action of studying.

An archaeologist can study a map, while coordinates cannot. Thus, the logical subject is 'the archaeologist'.

Placing 'the coordinates' as the subject would result in a dangling modifier, as coordinates cannot study maps.

Anahtar Kavram

Misplaced and Dangling Modifiers

Soru 4623Soru →

Read the sentence and choose the best version of the underlined portion.

Although the curator carefully restored the ancient delicate tapestry; she noticed that several threads had faded over time.

Which choice is the best version of the underlined portion?

NO CHANGE

ancient, delicate tapestry, she

ancient, delicate tapestry. She

ancient delicate tapestry, she

Cevabı ve açıklamayı göster

Cevap: ancient, delicate tapestry, she

Cevap

ancient, delicate tapestry, she

The correct answer correctly places a comma between the coordinate adjectives 'ancient' and 'delicate' because they independently modify 'tapestry.' It also correctly places a comma after 'tapestry' to separate the introductory dependent clause starting with 'Although' from the main independent clause.

Adım Adım Çözüm

1

Determine if the adjectives modifying the noun require a comma.

The adjectives 'ancient' and 'delicate' are coordinate because they can be reversed ('delicate, ancient tapestry') and can be joined with 'and' ('ancient and delicate tapestry'). A comma is required between them.

Coordinate adjectives independently modify the same noun and must be separated by a comma.

2

Analyze the clause structure of the sentence.

The sentence begins with the subordinating conjunction 'Although,' making the first part of the sentence ('Although the curator carefully restored the ancient, delicate tapestry') a dependent clause.

Identifying clause boundaries prevents fragment and run-on errors.

3

Select the correct punctuation to join the dependent and independent clauses.

An introductory dependent clause must be followed by a comma before the independent clause begins.

Using a semicolon or period at this boundary incorrectly separates the dependent clause, resulting in a sentence fragment.

Anahtar Kavram

Punctuation rules for coordinate adjectives and introductory dependent clauses.

Soru 4624Soru →

The landscape architect designed a quiet, secluded courtyard, it offered a peaceful retreat from the busy city streets. Which choice is the best version of the underlined portion?

NO CHANGE

quiet, secluded courtyard, which

quiet, secluded courtyard; which

quiet, secluded courtyard, that

Cevabı ve açıklamayı göster

Cevap: quiet, secluded courtyard, which

Cevap

The correct option is the one that uses a comma to separate the coordinate adjectives 'quiet' and 'secluded' and introduces the relative clause with a comma followed by 'which'.

The correct choice uses a comma to separate the coordinate adjectives 'quiet' and 'secluded' and uses ', which' to introduce the nonessential relative clause. This avoids the comma splice of the original sentence while maintaining proper punctuation rules for coordinate adjectives.

Adım Adım Çözüm

1

Analyze the relationship between the adjectives modifying the noun 'courtyard'.

The adjectives 'quiet' and 'secluded' are coordinate because their order can be reversed ('secluded, quiet courtyard') and they can be joined by 'and' ('quiet and secluded courtyard'). Therefore, a comma must separate them.

Coordinate adjectives require a separating comma to be punctuated correctly.

2

Analyze the grammatical structure of the clauses to identify any boundary errors.

The sentence contains two independent clauses: 'The landscape architect designed a quiet, secluded courtyard' and 'it offered a peaceful retreat...'. Joining these two clauses with only a comma creates a comma splice.

Independent clauses cannot be joined by a comma alone without a coordinating conjunction.

3

Evaluate the choices to resolve the comma splice while maintaining proper adjective and clause punctuation.

Using the relative pronoun 'which' converts the second clause into a dependent relative clause, which is nonessential and correctly preceded by a comma. The pronoun 'that' introduces a restrictive clause and cannot take a comma, while the semicolon option incorrectly punctuationally isolates 'which' into a fragment.

Selecting the relative pronoun 'which' resolves the comma splice and forms a grammatically correct sentence.

Anahtar Kavram

Identifying coordinate adjectives and correct punctuation at clause boundaries

Soru 4625Soru →

### Origin of Eukaryotic Organelles

Eukaryotic cells contain membrane-bound organelles, such as mitochondria, that are absent in prokaryotes. Two hypotheses have been proposed to explain the origin of these organelles.

Hypothesis 1
Mitochondria evolved from free-living, aerobic prokaryotes that were engulfed by a larger, anaerobic host prokaryote. Instead of being digested, the engulfed cells entered a symbiotic relationship with the host cell. Over time, the engulfed prokaryotes lost their independent functions and became dependent organelles.

Hypothesis 2
Eukaryotic organelles developed through the invagination (folding inward) and subsequent pinching off of the ancestral host cell's own plasma membrane. This compartmentalization isolated specific enzymes and genetic material, allowing specialized functions to evolve within separate membrane-bound structures.

According to Hypothesis 2, eukaryotic organelles originated directly from which of the following cellular components?

The plasma membrane of the ancestral host cell

Free-living prokaryotes that were engulfed by a host cell

The nuclear membrane of a pre-existing eukaryotic cell

Lipid droplets suspended in the cytoplasm of a prokaryote

Cevabı ve açıklamayı göster

Cevap: The plasma membrane of the ancestral host cell

Cevap

The plasma membrane of the ancestral host cell

Hypothesis 2 explicitly states that organelles developed through the folding inward (invagination) and subsequent pinching off of the ancestral host cell's own plasma membrane. Therefore, according to Hypothesis 2, the organelles originated from the plasma membrane of the ancestral host cell.

Adım Adım Çözüm

1

Locate the description of Hypothesis 2 in the passage.

Identify the mechanism proposed by Hypothesis 2 for the origin of eukaryotic organelles.

To understand the core claim of Hypothesis 2.

2

Analyze the text of Hypothesis 2 to find where it states organelles came from.

The text states that organelles developed through the folding inward (invagination) and pinching off of the ancestral host cell's own plasma membrane.

To identify the specific cellular component that served as the origin.

Anahtar Kavram

Identifying Core Claims and Hypotheses

Soru 4626Soru →

A runner completed a race in $45$ minutes. If this time is $12$ minutes faster than their previous race time, $t$ , which of the following equations can be used to find the previous race time?

t - 12 = 45

t + 12 = 45

12 - t = 45

12t = 45

\frac{t}{12} = 45

Cevabı ve açıklamayı göster

Cevap: $t - 12 = 45$

Cevap

The equation

t - 12 = 45

correctly models the relationship between the previous and current race times.

The equation

t - 12 = 45

is correct because 'faster than' in running means a shorter duration of time. Thus, the previous time

t

must be

12

minutes greater than

45

minutes, which is algebraically expressed as

t - 12 = 45

(or

t = 45 + 12

).

Adım Adım Çözüm

1

Identify the relationship between the current time and the previous time

t

.

The current time is

45

minutes, which is

12

minutes faster than

t

.

This establishes that the previous time

t

is larger than the current time of

45

minutes.

2

Set up the algebraic equation based on the time difference.

t - 12 = 45

Subtracting the difference of

12

minutes from the slower previous time

t

yields the faster current time of

45

minutes.

Anahtar Kavram

Translating verbal descriptions of differences into one-step subtraction equations

Tahmini Süre:45s

Soru 4627Soru →

The following passage contains an underlined portion.

Marine biologists are currently testing a technique called micro-fragmentation to restore depleted coral reefs. By cutting a single coral colony into tiny pieces, scientists can stimulate rapid growth, indeed, the small fragments grow up to forty times faster than intact colonies. This accelerated development allows researchers to transplant viable corals back into the ocean much sooner than was previously possible.

Which choice best replaces the underlined portion of the passage?

NO CHANGE

rapid growth; indeed, the small fragments growing

rapid growth; indeed, the small fragments

rapid growth. Indeed, the small fragments because they

Cevabı ve açıklamayı göster

Cevap: rapid growth; indeed, the small fragments

Cevap

The correct answer is the option that replaces the comma with a semicolon to separate the two independent clauses, followed by a comma after the transition word 'indeed'.

The correct option correctly uses a semicolon to separate two independent clauses ('scientists can stimulate rapid growth' and 'indeed, the small fragments grow up to forty times faster...'). The transitional adverb 'indeed' is followed by a comma, establishing grammatically correct sentence boundaries.

Adım Adım Çözüm

1

Analyze the structure of the clauses surrounding the underlined portion.

The clauses 'scientists can stimulate rapid growth' and 'the small fragments grow up to forty times faster than intact colonies' are both independent clauses because they contain both a subject and a verb and express complete thoughts.

Determining clause types is necessary to identify punctuation requirements.

2

Identify the punctuation error in the original sentence.

The two independent clauses are joined by a comma and the transitional adverb 'indeed', which constitutes a comma splice error.

Recognizing a comma splice helps eliminate incorrect punctuation choices.

3

Evaluate the choices to find the correct method of linking the independent clauses.

A semicolon is appropriate to separate independent clauses when a transitional adverb is used. The correct choice preserves 'grow' as the main verb, ensuring both clauses remain complete sentences.

This confirms the grammatically correct configuration.

Anahtar Kavram

Two independent clauses must be joined by a period, a semicolon, or a comma paired with a coordinating conjunction. Using a comma alone to join them, even with a transitional adverb like 'indeed', results in a comma splice.

Soru 4628Soru →

Simplify the four mathematical expressions below. How should these expressions be ordered from least to greatest based on their simplified values?

* Expression A: $\sqrt{2.25 \times 10^4} \times \left(2.0 \times 10^{-1}\right)^{-2}$
* Expression B: $\frac{\left(3.0 \times 10^2\right)^3}{6.0 \times 10^3}$
* Expression C: $\sqrt[3]{2.7 \times 10^7} \times \left(4.0 \times 10^{-2}\right)^{-1/2}$
* Expression D: $\left(6.4 \times 10^5\right)^{1/2} \times 5.0 \times 10^0$

Öğeleri doğru sıraya koymak için sürükleyin

Cevabı ve açıklamayı göster

Cevap

Expression C, Expression A, Expression D, Expression B

The correct order is determined by fully simplifying each expression: Expression C simplifies to

1,500

, Expression A simplifies to

3,750

, Expression D simplifies to

4,000

, and Expression B simplifies to

4,500

. Arranging these values in ascending order gives the correct sequence starting with Expression C, followed by Expression A, then Expression D, and ending with Expression B.

Adım Adım Çözüm

1

Simplify Expression C:

\sqrt[3]{2.7 \times 10^7} \times \left(4.0 \times 10^{-2}\right)^{-1/2}

C = 1,500

First, rewrite

2.7 \times 10^7

as

27 \times 10^6

to compute the cube root easily:

\sqrt[3]{27 \times 10^6} = 3 \times 10^2 = 300

. Second, evaluate the term with the rational exponent:

\left(4.0 \times 10^{-2}\right)^{-1/2} = \frac{1}{\sqrt{4.0 \times 10^{-2}}} = \frac{1}{2.0 \times 10^{-1}} = \frac{1}{0.2} = 5

. Finally, multiply the two parts:

300 \times 5 = 1,500

.

2

Simplify Expression A:

\sqrt{2.25 \times 10^4} \times \left(2.0 \times 10^{-1}\right)^{-2}

A = 3,750

First, calculate the square root:

\sqrt{2.25 \times 10^4} = \sqrt{2.25} \times \sqrt{10^4} = 1.5 \times 10^2 = 150

. Second, evaluate the term with the negative exponent:

\left(2.0 \times 10^{-1}\right)^{-2} = (0.2)^{-2} = \frac{1}{0.04} = 25

. Finally, multiply the two simplified values:

150 \times 25 = 3,750

.

3

Simplify Expression D:

\left(6.4 \times 10^5\right)^{1/2} \times 5.0 \times 10^0

D = 4,000

First, simplify the square root by rewriting the radicand:

\left(6.4 \times 10^5\right)^{1/2} = \sqrt{64 \times 10^4} = 8 \times 10^2 = 800

. Second, evaluate

5.0 \times 10^0 = 5.0 \times 1 = 5

. Finally, multiply the results:

800 \times 5 = 4,000

.

4

Simplify Expression B:

\frac{\left(3.0 \times 10^2\right)^3}{6.0 \times 10^3}

B = 4,500

First, raise the numerator to the power of three:

\left(3.0 \times 10^2\right)^3 = 3^3 \times \left(10^2\right)^3 = 27 \times 10^6

. Next, divide by the denominator:

\frac{27 \times 10^6}{6.0 \times 10^3} = \frac{27}{6.0} \times 10^3 = 4.5 \times 10^3 = 4,500

.

5

Compare the simplified values of the four expressions.

1,500 < 3,750 < 4,000 < 4,500

, which corresponds to Expression C, Expression A, Expression D, then Expression B.

Sorting the values in ascending numerical order reveals the correct order from least to greatest.

Anahtar Kavram

Simplifying complex numeric expressions containing combinations of square roots, cube roots, negative exponents, fractional exponents, and scientific notation.

Tahmini Süre:3m 0s

Soru 4629Soru →

A construction crew of $12$ workers can build $2$ identical storage sheds in $8$ days, working $6$ hours per day. To complete a new project of building $3$ of these same storage sheds in $6$ days, how many additional workers, working at the same rate, must be hired if they will work $4$ hours per day?

4

12

16

24

36

Cevabı ve açıklamayı göster

Cevap: 24

Cevap

The correct answer is 24 additional workers.

The correct answer is 24 additional workers. First, calculate the rate of work:

12

workers working

6

hours per day for

8

days is

12 \times 8 \times 6 = 576

total worker-hours to complete

2

sheds, which equals

288

worker-hours per shed. For the new project of

3

sheds, the total worker-hours needed is

3 \times 288 = 864

hours. Under the new schedule of

6

days at

4

hours per day, each worker will work

6 \times 4 = 24

hours. Thus, the total number of workers required is

864 / 24 = 36

workers. Subtracting the original crew of

12

workers, the crew needs to hire

36 - 12 = 24

additional workers.

Adım Adım Çözüm

1

Calculate the total worker-hours required to build one storage shed.

288 worker-hours per shed

A crew of

12

workers working for

8

days at

6

hours per day contributes a total of

12 \times 8 \times 6 = 576

worker-hours to build

2

sheds. Dividing

576

by

2

gives

288

worker-hours per shed.

2

Determine the total worker-hours required for the new project of building 3 sheds.

864 worker-hours

Since each shed requires

288

worker-hours, building

3

sheds will require

3 \times 288 = 864

worker-hours.

3

Calculate the number of hours each worker will contribute under the new schedule.

24 hours per worker

On the new schedule, workers work for

6

days at

4

hours per day, which equals

6 \times 4 = 24

hours per worker.

4

Calculate the total number of workers required and the number of additional workers to hire.

36 total workers, which means 24 additional workers

Dividing the total required hours (

864

) by the hours per worker (

24

) gives

36

total workers. Subtracting the initial crew of

12

workers yields

36 - 12 = 24

additional workers.

Anahtar Kavram

Compound rates and proportional relationships

Alternatif Yöntem

We can set up a compound proportion equation where

\frac{W_1 \cdot D_1 \cdot H_1}{S_1} = \frac{W_2 \cdot D_2 \cdot H_2}{S_2}

. Substituting the known values:

\frac{12 \cdot 8 \cdot 6}{2} = \frac{W_2 \cdot 6 \cdot 4}{3}

. Simplifying both sides gives

288 = 8 W_2

, which yields

W_2 = 36

. The number of additional workers is

36 - 12 = 24

.

Tahmini Süre:1m 30s

Soru 4630Soru →

Deep-ocean submersibles have recently mapped several hydrothermal vents in the Mariana Trench. Emitting mineral-rich water at temperatures exceeding 400 degrees Celsius, scientists have discovered thriving ecosystems surrounding these underwater geysers. These extreme environments support specialized bacteria that convert toxic chemicals into energy.

Which of the following is the most grammatically correct and logical revision of the underlined portion of the passage?

NO CHANGE

scientists have discovered thriving ecosystems surrounding these underwater geysers, which emits mineral-rich water at temperatures exceeding 400 degrees Celsius.

scientists have discovered thriving ecosystems surrounding these underwater geysers, which emit mineral-rich water at temperatures exceeding 400 degrees Celsius.

scientists have discovered thriving ecosystems surrounding these underwater geysers, they emit mineral-rich water at temperatures exceeding 400 degrees Celsius.

Cevabı ve açıklamayı göster

Cevap: scientists have discovered thriving ecosystems surrounding these underwater geysers, which emit mineral-rich water at temperatures exceeding 400 degrees Celsius.

Cevap

scientists have discovered thriving ecosystems surrounding these underwater geysers, which emit mineral-rich water at temperatures exceeding 400 degrees Celsius.

The correct answer fixes the dangling modifier by restructuring the sentence so that the description of emitting mineral-rich water is placed in a relative clause ('which emit...') directly following the noun it describes ('geysers'). This choice also maintains proper subject-verb agreement, matching the plural subject 'geysers' with the plural verb 'emit.'

Adım Adım Çözüm

1

Identify the dangling modifier in the original sentence.

The introductory participial phrase 'Emitting mineral-rich water at temperatures exceeding 400 degrees Celsius' is positioned to modify the subject 'scientists,' which makes no logical sense since scientists cannot emit superheated water.

Correcting the dangling modifier requires placing the modifying information immediately adjacent to the noun it logically modifies ('geysers' or 'vents').

2

Evaluate option structures for logical modifier placement and grammatical correctness.

Placing a relative clause starting with 'which' after 'underwater geysers' correctly associates the action of emitting water with the geysers. The verb in this relative clause must agree in number with the plural noun 'geysers.'

This step ensures that correcting the modifier placement does not introduce other grammatical errors such as subject-verb agreement violations.

3

Check for punctuation errors like comma splices.

Using 'they emit' creates a comma splice because it attempts to join two independent clauses with a comma and no conjunction. The relative pronoun 'which' is needed to properly connect the dependent clause.

Verifying that the final choice contains no secondary grammatical errors establishes the correct answer.

Anahtar Kavram

Modifier Placement

Soru 4631Soru →

Read the passage below. Which precise word best completes the blank to maintain the academic tone of the passage?

Aşağıdaki boşlukları doldurun

Gerardus Mercator’s 1569 map projection revolutionized marine navigation by allowing sailors to plot straight-line courses. However, because the projection preserves angles at the expense of area, it dramatically the size of landmasses near the poles, making Greenland appear as large as Africa.

Cevabı ve açıklamayı göster

Cevap

distorts (or a precise synonym such as exaggerates, magnifies, or inflates)

The sentence describes how the Mercator projection represents Greenland as much larger than it actually is. The word must convey this alteration or exaggeration of geographical area. Words like 'distorts', 'exaggerates', or 'magnifies' are precise and fit the academic tone.

Adım Adım Çözüm

1

Analyze the context of the sentence to determine the relationship between the map projection and the size of landmasses.

The text states that the map preserves angles 'at the expense of area' and makes 'Greenland appear as large as Africa' (which is factually incorrect as Africa is much larger). This indicates a distortion of relative size.

Understanding the context helps identify the required meaning of the missing word.

2

Select a word that precisely describes this misrepresentation of physical area while maintaining an academic register.

'distorts', 'exaggerates', 'magnifies', or 'inflates' fit this context precisely.

These words accurately capture the scientific/geographical phenomenon of scale distortion in cartography.

Anahtar Kavram

Selecting words that precisely convey the intended meaning and maintain the appropriate style and tone of a passage.

Soru 4632Soru →

Four prototype solar cells are tested for their efficiency in converting solar energy into electricity. The efficiency of each solar cell is recorded as follows:

* Cell W: $\frac{4}{25}$ of the incoming energy is converted.
* Cell X: $16.5\%$ of the incoming energy is converted.
* Cell Y: $0.1605$ of the incoming energy is converted.
* Cell Z: $\frac{13}{80}$ of the incoming energy is converted.

Based on this data, how should these solar cells be ordered from least efficient to most efficient?

Öğeleri doğru sıraya koymak için sürükleyin

Cevabı ve açıklamayı göster

Cevap

The correct ordering from least efficient to most efficient is Cell W, Cell Y, Cell Z, and Cell X.

Converting all efficiency values to decimals facilitates comparison. Cell W is

\frac{4}{25} = 0.1600

. Cell Y is

0.1605

. Cell Z is

\frac{13}{80} = 0.1625

. Cell X is

16.5\% = 0.1650

. Comparing these decimals shows that

0.1600 < 0.1605 < 0.1625 < 0.1650

, which matches the order: Cell W, Cell Y, Cell Z, Cell X.

Adım Adım Çözüm

1

Convert the efficiency of Cell W to a decimal.

\frac{4}{25} = 0.16 = 0.1600

To easily compare the values, convert the fraction to a decimal by dividing the numerator by the denominator.

2

Convert the efficiency of Cell X to a decimal.

16.5\% = 0.165 = 0.1650

Convert the percentage to a decimal by dividing by 100.

3

Convert the efficiency of Cell Z to a decimal.

\frac{13}{80} = 0.1625

Divide 13 by 80 to obtain its decimal representation.

4

Compare all four decimal values:

0.1600

(Cell W),

0.1650

(Cell X),

0.1605

(Cell Y), and

0.1625

(Cell Z).

0.1600 < 0.1605 < 0.1625 < 0.1650

Align the decimals by place value to determine their correct ascending order.

Anahtar Kavram

Comparing and ordering fractions, decimals, and percentages by converting them to a common format (decimals).

Tahmini Süre:1m 30s

Soru 4633Soru →

In January 1960, oceanographer Jacques Piccard and Navy Lieutenant Don Walsh boarded the bathyscaphe *Trieste* to attempt a historic descent to the deepest known point in the Earth's oceans: the Challenger Deep in the Mariana Trench. As they descended into the abyss, the temperature inside the cabin dropped significantly, and a window pane cracked under the immense pressure. Despite these dangers, the team of intrepid explorers were observing a surprising variety of marine life, documented their findings, and began their ascent back to the surface.

Which choice best maintains a consistent and logical verb tense in the passage?

NO CHANGE

observed

observing

observes

Cevabı ve açıklamayı göster

Cevap: observed

Cevap

observed

The correct answer 'observed' is in the simple past tense, which matches the past-tense verbs throughout the passage ('boarded', 'descended', 'dropped', 'cracked') and maintains parallel structure with the other verbs in the series ('documented' and 'began').

Adım Adım Çözüm

1

Identify the overall tense of the surrounding context by examining other verbs in the paragraph.

The verbs 'boarded', 'descended', 'dropped', 'cracked', 'documented', and 'began' establish that the passage is written in the past tense.

Maintaining consistent verb tense is necessary to prevent illogical shifts in time.

2

Determine the grammatical function of the underlined verb within its clause and check for parallel structure.

The verb is the first element in a list of actions performed by the subject: '...the team... [verb] a surprising variety of marine life, documented their findings, and began their ascent.' This requires a simple past-tense verb to maintain parallelism with 'documented' and 'began'.

Items in a list or series must share the same grammatical form.

3

Evaluate the choices to find the simple past-tense verb that also agrees in number with the subject.

The simple past-tense verb 'observed' fits perfectly. The original phrase 'were observing' incorrectly uses the plural 'were' to agree with 'explorers' rather than the singular subject 'team'.

Verbs must agree with their true subject rather than nouns in intervening phrases.

Anahtar Kavram

Verb Tense and Consistency

Tahmini Süre:1m 0s

Soru 4634Soru →

Designed in the early twentieth century, Hearst Castle stands as a testament to the brilliance of California architect Julia Morgan. Over a career spanning three decades, Morgan integrated diverse architectural styles to create a cohesive masterpiece. She worked closely with media mogul William Randolph Hearst, translating his grand ideas into stone and mortar. While Hearst was known for his demanding nature, Morgan handled the pressure with remarkable grace. Indeed, she worked like a dog on the project, supervising every detail of the construction to ensure the structural integrity of the complex.

Which choice most effectively maintains the formal, professional tone of the passage?

NO CHANGE

toiled with indefatigable assiduity upon the endeavor

dedicated a massive amount of her time and put in lots of extra hours of work

dedicated herself to the project

Cevabı ve açıklamayı göster

Cevap: dedicated herself to the project

Cevap

The choice that reads 'dedicated herself to the project' is the most stylistically appropriate choice because it maintains a professional, consistent tone and is concise.

The correct choice, which uses the phrase 'dedicated herself to the project', matches the formal and objective tone of the biography while remaining concise and precise.

Adım Adım Çözüm

1

Analyze the tone and style established in the passage.

The passage uses a formal, objective, and professional academic tone to describe the career of architect Julia Morgan.

Establishing the baseline tone helps identify which options clash with the rest of the text.

2

Evaluate the underlined phrase 'worked like a dog on the project' for stylistic appropriateness.

The original phrase is highly informal and colloquial, which introduces an inappropriate tone shift.

Understanding why the original text is incorrect guides the selection of the correct replacement.

3

Assess the remaining options to find the one that is grammatically correct, concise, and stylistically appropriate.

The choice 'toiled with indefatigable assiduity upon the endeavor' is overly formal and pretentious. The choice 'dedicated a massive amount of her time and put in lots of extra hours of work' is excessively wordy and repetitive. The choice 'dedicated herself to the project' is clear, professional, and concise.

Comparing choices ensures the selected answer is both grammatically sound and matches the passage's stylistic requirements.

Anahtar Kavram

Stylistic Appropriateness

Soru 4635Soru →

While translating the nineteenth-century poem, the subtle nuances of the original dialect were lost on the scholar.

Which choice best corrects the underlined portion of the sentence?

NO CHANGE

the scholar lost the subtle nuances of the original dialect

the original dialect's subtle nuances were lost by the scholar

the scholar losing the subtle nuances of the original dialect

Cevabı ve açıklamayı göster

Cevap: the scholar lost the subtle nuances of the original dialect

Cevap

the scholar lost the subtle nuances of the original dialect

The correct option, which states 'the scholar lost the subtle nuances of the original dialect', is correct because the subject 'the scholar' directly follows the introductory modifier 'While translating the nineteenth-century poem', establishing a clear and logical relationship between the action and the person performing it. Additionally, it forms a grammatically complete main clause.

Adım Adım Çözüm

1

Identify the action in the introductory phrase.

The action is 'translating the nineteenth-century poem'.

This action requires a logical agent (a person) to perform it.

2

Identify the subject immediately following the comma in each option to see if it can logically perform the action.

In the correct option, the subject is 'the scholar', which logically performs the action. In other options, the subject is 'the subtle nuances' or 'the original dialect's subtle nuances', which cannot translate a poem.

An introductory modifier must modify the subject that directly follows it.

3

Ensure the main clause is grammatically complete.

The correct option provides a complete main clause with a subject ('the scholar') and a finite verb ('lost'). The option with 'losing' creates a sentence fragment.

A sentence must contain a complete independent clause following the introductory dependent element.

Anahtar Kavram

An introductory modifying phrase (like a participial phrase) must be immediately followed by the noun or pronoun it is meant to modify. If the wrong subject follows the phrase, it is a dangling modifier.

Soru 4636Soru →

Read the passage about Grace Hopper's contribution to computer science. Fill in the blank with the correct form of the verb 'allow' to maintain grammatical consistency and appropriate verb tense throughout the passage.

Aşağıdaki boşlukları doldurun

In 1952, computer pioneer Grace Hopper created the first compiler, a program that translated English instructions into machine code. Before Hopper's breakthrough, programmers wrote code entirely in binary, which took an immense amount of time and required meticulous attention to detail. Hopper’s compiler changed the field of computing forever because it programmers to write instructions in language closer to human speech.

Cevabı ve açıklamayı göster

Cevap

allowed

The correct answer is 'allowed' because the passage describes historical events in the past, as indicated by verbs like 'created,' 'wrote,' and 'changed.' Using the past tense form 'allowed' maintains grammatical consistency throughout the passage.

Adım Adım Çözüm

1

Analyze the surrounding context of the passage to identify the time frame.

The verbs 'created,' 'translated,' 'wrote,' 'took,' 'required,' and 'changed' establish that the passage is written in the past tense.

Establishing the time frame of the narrative is necessary to ensure verb tense consistency.

2

Conjugate the verb 'allow' to match the established past tense.

The past tense of the regular verb 'allow' is 'allowed'.

Using 'allowed' maintains the past tense consistency of the paragraph.

Anahtar Kavram

Verb Tense and Consistency

Soru 4637Soru →

On a standard number line, point $A$ has coordinate $-15$ and point $B$ has coordinate $17$ . Point $C$ is located to the right of point $B$ such that the distance between $A$ and $C$ is exactly $3$ times the distance between $B$ and $C$ . What is the coordinate of point $C$ ?

Cevabı ve açıklamayı göster

Cevap: 33

Cevap

The coordinate of point

C

is 33.

The correct coordinate is found by setting up the distance equation for point

C

(with coordinate

c > 17

) relative to

A(-15)

and

B(17)

. The distance

AC

is

c - (-15) = c + 15

, and the distance

BC

is

c - 17

. Setting

c + 15 = 3(c - 17)

and solving yields

c = 33

, which is to the right of

B

.

Adım Adım Çözüm

1

Define the variable for the coordinate of point C and write the expressions for distances.

Let

c

be the coordinate of point

C

. The distance between

A

and

C

is

|c - (-15)| = |c + 15|

, and the distance between

B

and

C

is

|c - 17|

. Since point

C

is to the right of point

B

(which is at

17

), we know

c > 17

, so

|c + 15| = c + 15

and

|c - 17| = c - 17

.

To set up an algebraic equation representing the physical distance relations on the number line.

2

Set up the equation using the given relationship.

The equation is

c + 15 = 3(c - 17)

.

The problem states the distance between

A

and

C

is

3

times the distance between

B

and

C

.

3

Solve the equation for

c

.

c + 15 = 3c - 51 \implies 15 + 51 = 3c - c \implies 66 = 2c \implies c = 33

.

To find the coordinate of point

C

.

Anahtar Kavram

Calculating distances between points on a number line using absolute value and solving the resulting equations.

Alternatif Yöntem

Use geometric visualization: The distance from

A(-15)

to

B(17)

is

17 - (-15) = 32

units. Since point

C

lies to the right of

B

, the distance

AC

is the sum of

AB

and

BC

. Therefore,

AC = 32 + BC

. We are given that

AC = 3 \times BC

. Substituting this gives

32 + BC = 3 \times BC \implies 2 \times BC = 32 \implies BC = 16

. Since

C

is 16 units to the right of

B(17)

, its coordinate is

17 + 16 = 33

.

Tahmini Süre:1m 30s

Soru 4638Soru →

A laboratory sample contains $1.6 \times 10^{17}$ atoms of a radioactive isotope. The sample decays such that at the end of each 6-hour interval, the number of remaining atoms is equal to the square root of the number of atoms that were present at the beginning of that interval. Which of the following is the number of atoms remaining in the sample at the end of 12 hours?

4 \times 10^4

2 \times 10^{4.25}

2 \times 10^4

4 \times 10^8

4 \times 10^{16}

Cevabı ve açıklamayı göster

Cevap: $2 \times 10^4$

Cevap

2 \times 10^4

The correct option is

2 \times 10^4

. To find the number of remaining atoms after 12 hours, we must apply the square root operation twice, since 12 hours consists of two 6-hour intervals. First, rewrite the initial number of atoms as

16 \times 10^{16}

to make the exponent even. After 6 hours, the number of atoms is

\sqrt{16 \times 10^{16}} = 4 \times 10^8

. After another 6 hours, we take the square root again:

\sqrt{4 \times 10^8} = 2 \times 10^4

.

Adım Adım Çözüm

1

Determine the number of 6-hour intervals in a 12-hour period.

There are

12 \div 6 = 2

intervals.

Since the population is reduced to its square root every 6 hours, we must apply the square root operation twice over a 12-hour period.

2

Rewrite the initial number of atoms in a form that simplifies taking the square root.

1.6 \times 10^{17} = 16 \times 10^{16}

Converting the coefficient to a perfect square and the exponent to an even number allows us to easily compute the square root without a calculator.

3

Calculate the number of atoms remaining after the first 6-hour interval by taking the square root of the initial value.

\sqrt{16 \times 10^{16}} = \sqrt{16} \times \sqrt{10^{16}} = 4 \times 10^8

The square root of a product is the product of the square roots, and the square root of

10^{16}

is

10^{16 \cdot 0.5} = 10^8

.

4

Calculate the number of atoms remaining after the second 6-hour interval (12 hours total) by taking the square root of the value at the end of the first interval.

\sqrt{4 \times 10^8} = \sqrt{4} \times \sqrt{10^8} = 2 \times 10^4

Applying the square root operation to the intermediate quantity of

4 \times 10^8

yields the final remaining atoms after the full 12 hours.

Anahtar Kavram

Applying square root operations to expressions written in scientific notation.

Alternatif Yöntem

We can compute the overall decay multiplier first. Taking the square root twice is equivalent to raising the initial quantity to the power of

\frac{1}{4}

. Thus, the final quantity is

(1.6 \times 10^{17})^{1/4} = (16 \times 10^{16})^{1/4} = 16^{1/4} \times (10^{16})^{1/4} = 2 \times 10^4

.

Tahmini Süre:2m 0s

Soru 4639Soru →

A youth soccer league has a group of players. The players can be divided into equal-sized teams of either 12 or 18, with no players left over. However, if they are divided into teams of 15, there are exactly 3 players left over. What is the least possible number of players in the league?

3

36

72

108

180

Cevabı ve açıklamayı göster

Cevap: 108

Cevap

The least possible number of players in the league is 108.

To satisfy the condition that players can be divided into teams of 12 or 18 with no remainders, the total number of players must be a multiple of their least common multiple (LCM). The prime factorization of 12 is

2^2 \times 3

, and for 18 it is

2 \times 3^2

, so their LCM is

2^2 \times 3^2 = 36

. Next, we evaluate the positive multiples of 36 to find the smallest one that leaves a remainder of 3 when divided by 15. Testing 36:

36 = 15(2) + 6

(remainder 6). Testing 72:

72 = 15(4) + 12

(remainder 12). Testing 108:

108 = 15(7) + 3

(remainder 3). Thus, 108 satisfies all conditions.

Adım Adım Çözüm

1

Find the least common multiple (LCM) of 12 and 18.

The LCM of 12 and 18 is 36.

Since the players can be divided into teams of 12 or 18 without remainders, the total number of players must be a multiple of both 12 and 18, which means it must be a multiple of their LCM.

2

List the positive multiples of 36.

The multiples are 36, 72, 108, 144, 180, and so on.

To find the least possible number of players, we need to test the multiples of 36 in increasing order.

3

Test the multiples of 36 to find which one leaves a remainder of 3 when divided by 15.

Testing 36 gives a remainder of 6; testing 72 gives a remainder of 12; testing 108 gives a remainder of 3.

Dividing 108 by 15 yields 7 with a remainder of 3, satisfying all the conditions of the problem.

Anahtar Kavram

Using the least common multiple (LCM) to satisfy multiple divisibility and remainder constraints.

Tahmini Süre:1m 30s

Soru 4640Soru →

An art teacher divides a container of clay equally among $6$ students. If each student receives $15$ ounces of clay, and $c$ represents the total number of ounces of clay in the container, which of the following equations can be used to find $c$ ?

6c = 15

c - 6 = 15

\frac{c}{6} = 15

c + 6 = 15

\frac{6}{c} = 15

Cevabı ve açıklamayı göster

Cevap: $\frac{c}{6} = 15$

Cevap

\frac{c}{6} = 15

The equation representing the total amount of clay divided by the number of students equals the amount of clay per student is correct. Since the teacher divides the clay

c

equally among

6

students, the expression

\frac{c}{6}

represents the amount each student gets, which is given as

15

ounces. Therefore, the correct equation is

\frac{c}{6} = 15

.

Adım Adım Çözüm

1

Identify the relationship between the total amount of clay, the number of students, and the amount per student.

The total amount of clay,

c

, divided by the number of students,

6

, must equal the amount of clay each student receives.

Dividing a total quantity equally among a set number of groups is represented by division.

2

Write the relationship as an algebraic equation.

\frac{c}{6} = 15

Substitute the given values and variables into the division relationship.

Anahtar Kavram

Translating word problems into one-step algebraic division equations

Tahmini Süre:45s

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