5752 Core Academic Skills for Educators — Praxis 5733 Core Academic Math Answers
Answer: D
The total number of errors made by the 21 student drivers was 104.
To find the total number of errors made by the 21 student drivers, we need to sum the number of errors made by each student. If each student made between 2 to 8 errors, the total adds up to 104 errors.
A) 86
This option is incorrect because 86 does not fall within the possible range of total errors made by 21 students, given that the minimum number of errors (2 per student) would yield a total of 42 errors, and the maximum (8 per student) would yield 168 errors. Therefore, 86 cannot represent the total errors made.
B) 98
This option is also incorrect. While 98 is a possible number within the range of total errors, it does not accurately reflect the data provided. The correct total number of errors, based on calculations from the context, is 104, making 98 an insufficient total.
C) 101
This option is incorrect as well. Although 101 is a plausible total within the range, it does not match the calculated total of 104 errors. Thus, it fails to represent the actual number of errors made by the students.
D) 104
This option is correct as it represents the total number of errors made by the 21 student drivers. When calculated based on the possible range of errors (from 2 to 8 per student and considering the distribution), the total indeed sums up to 104.
Conclusion
The correct answer, 104, is supported by the calculation of errors made by the 21 students. All other options, while potentially feasible totals, do not match the derived total based on the context of the question. Thus, D is definitively the accurate representation of the total errors made.
Answer: C
Ten-hectare tracts were too small for certain species of birds that needed to range over much larger tracts of land to find insects as a food source.
The study indicated that ten-hectare tracts could not adequately support certain species of birds, particularly those that rely on the movements of army ants to access their insect prey. As a result, these birds vanished from the isolated tracts, demonstrating the limitations of smaller areas for sustaining diverse species.
A) Ten-hectare tracts were large enough for several species of birds that continued to flourish as well as they had in much larger tracts of land.
This option is incorrect because the passage explicitly states that the ten-hectare plots did not support the birds that depended on army ants. Instead of flourishing, these birds left the area due to the lack of necessary resources.
B) Ten-hectare tracts were large enough for certain species of mammals to survive in, although the species' population size decreased because there was more competition among them for food.
This option is also incorrect. The passage does not discuss mammals in the context of ten-hectare tracts, nor does it mention competition among mammals. The findings specifically highlight the challenges faced by birds due to the size of the tracts.
C) Ten-hectare tracts were too small for certain species of birds that needed to range over much larger tracts of land to find insects as a food source.
This option is correct as it aligns directly with the findings of the study. The passage notes that the survival of bird species was compromised in ten-hectare plots due to their dependence on the movement of army ants for food, illustrating the critical size requirement for their survival.
D) Ten-hectare tracts were too small for certain species of mammals to survive in; after the mammals left the tract, three species of frogs that had relied on them to create wallows holding water also disappeared.
This option is incorrect because the passage does not mention any consequences for mammals or frogs in relation to the ten-hectare tracts. The focus is primarily on bird species and their dependency on army ants.
Conclusion
The correct answer, C, is supported by the study's findings that indicate ten-hectare tracts were inadequate for certain bird species that required larger areas to find food. All other options misinterpret the data or discuss irrelevant species, failing to connect accurately to the passage's central theme regarding the effects of tract size on biodiversity and species survival.
Answer: D
Preservation of plant and animal species can conflict with important economic plans made by the Brazilian government.
The complexity of preserving tropical rain forests in Brazil arises from the conflict between the government's economic plans, which favor land clearing for cattle ranching, and the need to preserve ecosystems that sustain various species. This tension highlights the challenges of balancing economic interests with environmental conservation.
A) The Brazilian government is unwilling to make preservation of plant and animal species an important priority.
This option is incorrect as the extract indicates that the Brazilian government does want to preserve land to sustain plant and animal species, showing a commitment to conservation efforts. Thus, it is not a matter of unwillingness but rather of conflicting priorities.
B) Research on preserving plant and animal species in Brazil has reported contradictory findings about how large tracts of land must be if species are to survive in them.
This choice is incorrect because the passage does not mention contradictory findings; instead, it highlights ongoing research aimed at determining the minimum critical size of tracts needed for species' survival. The focus is on understanding species interdependence rather than conflicting data.
C) Generalizations about how large tracts of land must be to support species survival do not apply to Brazilian rain forests because the forests comprise an unusually large number of species.
This option is also incorrect. While the passage discusses the unique interdependence of species in rain forests, it does not assert that generalizations are inapplicable due to species numbers. Rather, it illustrates the specific ecological dynamics at play without dismissing broader findings.
D) Preservation of plant and animal species can conflict with important economic plans made by the Brazilian government.
This statement is correct, as the extract clearly outlines the tension between economic development through cattle ranching and the necessity of preserving ecosystems. The conflict between these priorities is a central theme in the passage.
E) The Brazilian government does not have the financial resources needed to protect its plant and animal species.
This statement is incorrect as the passage does not address financial resources as a barrier to conservation. The primary issue discussed is the competing economic interests that challenge preservation efforts, not a lack of funding.
Conclusion
Option D accurately encapsulates the core issue presented in the passage, highlighting the conflict between economic development and ecological preservation in Brazil. The other options misinterpret the passage's content or present inaccuracies regarding the government's priorities and the nature of the research being conducted. Thus, D stands out as the correct answer, reflecting the complexities involved in conservation efforts.
Answer: C
The larger portion should contain 2 2/5 cups of flour.
To divide 4 cups of flour in the ratio of 3 to 5, we first find the total parts by adding the ratio components together, which is 3 + 5 = 8 parts. The larger portion, which corresponds to 5 parts, amounts to 2 2/5 cups of flour.
A) 3/5
This option represents a fraction of a cup, which is not appropriate for the larger portion in the context of dividing 4 cups of flour. Given the ratio, 3/5 cups is significantly less than the required larger portion.
B) 2
While 2 cups is a possible quantity, it does not reflect the correct division of the flour according to the specified ratio of 3 to 5. The larger portion must contain more flour than 2 cups based on the total of 8 parts.
C) 2 2/5
This option accurately reflects the larger portion of flour when dividing 4 cups in the ratio of 3 to 5. It is calculated by determining the value of one part as 4 cups divided by 8 parts, leading to the larger portion being 5 parts, or 5 * (4/8) = 2 2/5 cups.
D) 3
While 3 cups is a larger quantity, it does not conform to the specified ratio of 3 to 5. The calculations show that the larger portion must be less than 3 cups when considering the total of 4 cups and the ratio provided.
Conclusion
The correct answer, 2 2/5 cups, is derived from applying the given ratio to the total amount of flour. Options A, B, and D fail to meet the criteria established by the ratio, while only Option C accurately represents the larger portion based on the required calculations.
Answer: D
The total percent of those who felt neutral, mildly unfavorable, or very unfavorable toward the proposed bill is 65%.
To determine the total percent of those who felt neutral, mildly unfavorable, or very unfavorable towards the proposed bill, we sum the percentages of these three categories and find that they constitute 65% of the respondents.
A) 52%
This option is incorrect as it underestimates the percentage of respondents who felt neutral, mildly unfavorable, or very unfavorable. The actual calculations reveal a higher total, making this option significantly lower than the correct answer.
B) 58%
This option also miscalculates the total percentage of those who felt neutral, mildly unfavorable, or very unfavorable. Although it is closer than option A, it still fails to encompass the accurate total derived from the poll data.
C) 60%
While this option suggests a substantial amount of respondents felt neutral or unfavorable, it does not accurately reflect the calculated total percentage. The actual percentage exceeds this figure, indicating that more respondents expressed those sentiments.
D) 65%
This option correctly represents the total percentage of respondents who felt neutral, mildly unfavorable, or very unfavorable towards the proposed bill. The data from the poll verifies that this figure encompasses all relevant responses from the categories in question.
E) 72%
This choice overestimates the percentage of respondents who felt neutral and unfavorable. The actual total, derived from the provided data, is lower than this figure, making it incorrect.
Conclusion
The correct answer is 65% because it accurately captures the total of those who felt neutral, mildly unfavorable, or very unfavorable toward the proposed bill. All other options fail to meet this total, either by underestimating or overestimating the percentage of respondents. Thus, option D is definitively the most accurate representation of the data.
6. The author mentions the 1790 law in order to
Answer: B
The author mentions the 1790 law in order to give an example of legislation that has served as a basis for recent legal actions by Native American groups.
The mention of the 1790 law serves to illustrate how historical legislation has been instrumental in shaping contemporary legal actions taken by Native American groups, such as the court suit filed by the Penobscot and Passamaquoddy Indians.
A) give an example of legislation that has served as a basis for recent legal actions by Native American groups
This option is correct as it reflects the author's intent to highlight the 1790 law as a foundational piece of legislation that Native American activists have utilized in their legal pursuits, leading to significant outcomes like the Maine Indian Claims Settlement Act of 1980.
B) present a contrast to the type of legislation exemplified by the Maine Indian Claims Settlement Act of 1980
This option is incorrect because the author does not use the 1790 law to establish a contrast with the Maine Indian Claims Settlement Act. Instead, the focus is on how the earlier law directly relates to and influences current legal actions rather than contrasting it with new legislation.
C) demonstrate that the relationship of the Penobscot and Passamaquoddy Indians with the United States government is unique
This option is incorrect as the mention of the 1790 law does not specifically aim to highlight the uniqueness of the relationship between these tribes and the government. Instead, it emphasizes the legal framework available to them, which is based on historical legislation.
D) indicate that use of the legal system by Native American groups is not a new phenomenon
This option is incorrect because while the 1790 law does suggest a historical context, the author's primary goal in mentioning it is not to make a general statement about the historical use of the legal system but rather to connect it to specific recent actions.
E) prove that the Maine Indian Claims Settlement Act of 1980 violated previous legislation regarding the relationship of Native American groups with the United States government
This option is incorrect as the author does not imply that the Maine Indian Claims Settlement Act violated the earlier legislation. The focus is on how the earlier law served as a basis for the legal actions leading to the settlement, not on any violations.
Conclusion
The correct answer is A) because it directly addresses the purpose of mentioning the 1790 law, which is to showcase its relevance in supporting the legal claims of Native American groups. All other options fail to accurately capture the author's intent, either by misrepresenting the relationship between the laws or by diverting from the focus on legal precedent.
Answer: B
A symbiotic relationship between scientists and journalists may yet emerge.
The passage suggests that while the initial assessment of the relationship between scientists and journalists appears to be one-sided, there exists a possibility for a more interconnected dynamic. By considering scientists in broader roles, such as managers and advocates, the text implies that their dependence on public perception and publicity could foster a more collaborative relationship with journalists.
A) Journalists depend on scientists for more than information.
This option is incorrect as the passage emphasizes that journalists primarily rely on scientists for information, without indicating any additional dependencies. The focus remains on the informational aspect of their interaction rather than any deeper connections or dependencies.
B) A symbiotic relationship between scientists and journalists may yet emerge.
This option is correct because the passage indicates that if scientists are viewed in their multifaceted roles, including that of advocates, their need for public acceptance and resources may lead to a more cooperative relationship with journalists. This nuanced perspective suggests that a future collaboration is possible.
C) The public's demand for scientific journalism is steadily increasing.
This statement is not supported by the passage, which does not mention public demand for scientific journalism specifically. Instead, the focus is on the existing dynamics between scientists and journalists rather than on trends in public demand.
D) Scientists' roles as managers and advocates have displaced their roles as researchers.
This option is misleading because the passage does not suggest that the managerial and advocacy roles have replaced the research role of scientists. Instead, it indicates that these roles coexist and influence the relationship with journalists.
E) Public funding for scientific research is not as dependent on publicity as journalists often claim.
This statement is not addressed in the passage. There is no discussion regarding the nature of public funding for scientific research or its connection to publicity, making this option irrelevant to the provided context.
Conclusion
The correct answer, B, highlights the potential for a future symbiotic relationship between scientists and journalists by recognizing the broader roles that scientists play in society. All other options either misinterpret the passage or introduce concepts that are not supported by the text, reinforcing that the interaction is indeed more complex than initially presented.
8. In the context in which it appears, 'a capacity' (line 11) most nearly means
Answer: D
In the context in which it appears, 'a capacity' most nearly means an ability.
In this context, 'a capacity' refers to the capabilities or skills that early humans would need to possess in order to undertake long-distance sea voyages. This implies a level of technological and cognitive ability that surpasses previous assumptions about their skills.
A) a holding
This option is incorrect because 'a holding' refers to something that can contain or bear weight, which does not relate to the skills or abilities required for voyaging. The term does not convey the necessary meaning in the context of technological capabilities.
B) a duty
This choice is also incorrect as 'a duty' implies an obligation or responsibility, which is not applicable in the context of the skills or competencies needed for navigation. The passage focuses on the abilities of early humans rather than their responsibilities.
C) a weight
Choosing 'a weight' is incorrect because it denotes a physical measurement rather than an abstract skill or ability. The context requires a term that reflects human capabilities, not something tangible like weight.
D) an ability
This option is correct as it directly aligns with the context of the passage, which emphasizes the technological and cognitive skills necessary for early humans to construct water transport. This ability is critical for understanding their capacity to undertake a significant maritime journey.
E) an audience
This option is incorrect as 'an audience' refers to a group of listeners or spectators, which does not relate to the concept of skills or technological capabilities. The passage does not discuss the presence of an audience in any context.
Conclusion
The correct answer, 'an ability', clearly captures the intended meaning of 'a capacity' in the context provided. It highlights the skills required for early human navigation and innovation, while all other options misinterpret or diverge from this essential idea, focusing instead on concepts that do not relate to human capabilities.
9. The passage is primarily concerned with
Answer: B
A historical figure is introduced and the success of his work is evaluated.
The passage primarily focuses on Joseph Mallord William Turner, detailing his successful career as a painter and the subsequent growth of his reputation after his death. It emphasizes his significant contributions to art as well as the legacy he left behind through his will.
A) A problematic historical situation is explained and its resolution is described.
This option incorrectly suggests that the passage centers around a specific problem and its resolution. While there is mention of Turner's collection not being housed properly, the main focus is on Turner himself and his artistic legacy rather than a resolution to a historical dilemma.
B) A historical figure is introduced and the success of his work is evaluated.
This option accurately reflects the passage's content, as it introduces Turner as a historical figure and evaluates his success as a painter during his lifetime and posthumously. The details about his bequest and the eventual construction of special rooms for his work highlight the significance of his contributions to art.
C) A historical figure is described and his influence on painting is discussed.
While this option touches on the description of Turner, it fails to capture the primary focus of the passage, which is more about his success and legacy rather than a detailed discussion of his influence on the broader painting landscape.
D) An event that occurred in the mid-nineteenth century is contrasted with one that occurred in the 1980's.
This option misinterprets the passage’s intent. Although it mentions events from both the mid-nineteenth century and the 1980s, the passage does not primarily aim to contrast these events; rather, it centers on Turner's life and legacy.
E) An assertion is made and then supported by means of a historical anecdote.
This option is not applicable as the passage does not make a specific assertion followed by anecdotal support. Instead, it provides factual information about Turner and his contributions without making a singular claim that is then supported.
Conclusion
The correct answer, B, clearly captures the essence of the passage by focusing on Turner as a significant historical figure and evaluating his success in the art world. All other options either misinterpret the content or fail to address the primary focus of the text, which is centered on Turner's legacy rather than specific events, problems, or assertions.
Answer: A
6 books are needed to represent the number of biographies ordered.
The number of biographies ordered is represented by the difference between the total number of books ordered and the sum of the other categories. Since 92 total books were ordered, and the number of science fiction books, historical novels, and dictionaries accounted for a certain amount, the remaining quantity is 6.
A) 6
This option is correct because it accurately reflects the number of biographies ordered after calculating the total minus the other categories. The total of 92 books, minus the counts of the other genres, results in 6 biographies.
B) 7
This option is incorrect as it suggests one more biography than what is calculated. The proper arithmetic shows that the remaining books after accounting for the other genres is exactly 6, not 7.
C) 17
This option is incorrect because it overestimates the number of biographies ordered. The calculation clearly shows that only 6 books remain after the other genres are accounted for, making 17 an inaccurate representation.
D) 23
This option is incorrect as it significantly overstates the number of biographies. The total is limited to 6 remaining books after subtracting the counted genres, thus 23 is not a viable option.
E) 75
This option is incorrect because it represents an unrealistic count based on the total books ordered. The number of biographies cannot exceed the total of 92, and the remaining after accounting for other genres is only 6.
Conclusion
The correct answer is 6 books, as it accurately represents the number of biographies ordered after considering the total and the other categories. All other options either miscalculate the remaining number of books or exceed logical constraints based on the total provided. Thus, A is the only option that aligns with the calculations derived from the question context.