Create Standards-Aligned Questions Instantly

Q: Two vectors, $ \mathbf{a} = 3\hat{i} + 4\hat{j} $ and $ \mathbf{b} = 5\hat{i} - 2\hat{j} $, are given. Calculate the resultant vector $ \mathbf{c} $ by adding these two vectors component-wise.

$ \mathbf{c} = (3+5)\hat{i} + (4-2)\hat{j} = 8\hat{i} + 2\hat{j} $

Sample Question of the Day

Dropdown📘 6.1.8.HistoryUP.3.a🧠 DOK 3

The Declaration of Independence, adopted on July 4, 1776, was a pivotal document in American history. It was written primarily by Thomas Jefferson and declared the thirteen American colonies free from British rule. The document outlines several key principles, including the rights to life, liberty, and the pursuit of happiness. Initially, it served as a statement against British tyranny, but over time, these principles have evolved into central tenets of American democracy, influencing future generations and documents like the Constitution and the Bill of Rights.

Question:

Why was the Declaration of Independence written and how did its principles evolve over time? Select the appropriate options to complete the statements: The Declaration of Independence was written to [Select: declare independence, establish a new government, create a constitution] from British rule. Over time, its principles of [Select: economic freedom, religious practices, life, liberty, and the pursuit of happiness] became unifying ideas in American democracy.

Answer Choices:

A) declare independence
B) establish a new government
C) create a constitution
D) economic freedom
E) religious practices
F) life, liberty, and the pursuit of happiness

✅ Answer:

The Declaration of Independence was written to declare independence from British rule. Over time, its principles of life, liberty, and the pursuit of happiness became unifying ideas in American democracy.

💡 Explanation:

The Declaration of Independence was created to announce the separation of the American colonies from British rule.
Its principles, especially the emphasis on inalienable rights such as life, liberty, and the pursuit of happiness, have been foundational in shaping American democracy and influencing other key documents.

Standard: 6.1.8.HistoryUP.3.a | DOK: 3

Recent Questions

Short answer📘 N.VM.B.4🧠 DOK 1

Question:

Two vectors, $\mathbf{a} = 3\hat{i} + 4\hat{j}$ and $\mathbf{b} = 5\hat{i} - 2\hat{j}$ , are given. Calculate the resultant vector $\mathbf{c}$ by adding these two vectors component-wise.

✅ Answer:

$\mathbf{c} = (3+5)\hat{i} + (4-2)\hat{j} = 8\hat{i} + 2\hat{j}$

💡 Explanation:

To add the vectors component-wise, add the corresponding components of the vectors $\mathbf{a}$ and $\mathbf{b}$ .
For the $\hat{i}$ components, add 3 and 5 to get 8.
For the $\hat{j}$ components, add 4 and -2 to get 2.
Thus, the resultant vector $\mathbf{c}$ is $8\hat{i} + 2\hat{j}$ .

Standard: N.VM.B.4 | DOK: 1

Multiple select📘 6.1.8.HistoryCC.3.a🧠 DOK 4

Question:

Which of the following events and policies contributed to the growing tensions between the American colonies and the British government, ultimately leading to the American Revolution? Select all that apply.

Answer Choices:

A) The implementation of the Stamp Act, which imposed a direct tax on the colonies.
B) The Boston Tea Party, where American colonists protested against the Tea Act by dumping tea into Boston Harbor.
C) The signing of the Treaty of Paris in 1763, which ended the Seven Years War.
D) The Intolerable Acts, which were punitive measures taken by the British in response to colonial protests.
E) The establishment of the First Continental Congress, where delegates from the colonies met to discuss their response to British policies.

✅ Answer:

The implementation of the Stamp Act, which imposed a direct tax on the colonies.; The Boston Tea Party, where American colonists protested against the Tea Act by dumping tea into Boston Harbor.; The Intolerable Acts, which were punitive measures taken by the British in response to colonial protests.

💡 Explanation:

The Stamp Act imposed a direct tax on the colonies and was met with widespread protest, which increased tensions.
The Boston Tea Party was a direct action against the Tea Act, showcasing colonial resistance to British policies.
The Intolerable Acts were punitive measures that further escalated tensions and angered colonists, contributing to the revolutionary sentiment.
The Treaty of Paris ended the Seven Years War, leading to new policies but was not a direct cause of the revolution.
The First Continental Congress was a response to British policies, not a cause of tensions.

Standard: 6.1.8.HistoryCC.3.a | DOK: 4

Short answer📘 6.2.8.GeoSV.2.a🧠 DOK 1

Question:

What is one major difference between the physical and political maps of Ancient Egypt and Modern Egypt?

✅ Answer:

One major difference is that the political map of Modern Egypt includes clearly defined national borders and neighboring countries, whereas the physical map focuses on geographical features such as the Nile River and deserts.

💡 Explanation:

Physical maps emphasize the natural landscape and features like rivers and mountains, whereas political maps show human-made boundaries and divisions such as cities, states, and countries.
Ancient Egypt's physical map highlighted the significance of the Nile River for civilization, while Modern Egypt's political map reflects its current national boundaries.

Standard: 6.2.8.GeoSV.2.a | DOK: 1

Multiple choice📘 6.1.8.EconNE.4.b🧠 DOK 2

Question:

How did the invention of the printing press in the 15th century impact the status and social class of different groups of people?

Answer Choices:

A) A) It provided equal access to religious texts, which diminished the power of the church.
B) B) It allowed only the wealthy to access printed materials, maintaining the status quo.
C) C) It democratized knowledge, allowing the middle class to gain more power and influence.
D) D) It increased the wealth of the nobility by allowing them to control the production of books.

✅ Answer:

C) It democratized knowledge, allowing the middle class to gain more power and influence.

💡 Explanation:

The invention of the printing press made books more affordable and accessible, thus spreading knowledge beyond the elite and clergy.
This democratization of knowledge helped the middle class to become more educated and influential, altering the social structure of the time.

Standard: 6.1.8.EconNE.4.b | DOK: 2

Short answer📘 G.GMD.A.3🧠 DOK 4

Question:

A cone and a hemisphere have equal volumes. The height of the cone is 9 cm. Determine the radius of the hemisphere if the radius of the cone is 3 cm. Use the formulas for the volumes of a cone and a hemisphere to solve this problem and explain your reasoning.

✅ Answer:

The radius of the hemisphere is 3 cm.

💡 Explanation:

The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.
For the cone with radius 3 cm and height 9 cm, the volume V is (1/3)π(3)²(9) = 27π cubic centimeters.
The volume of a hemisphere is (2/3)πR³, where R is the radius of the hemisphere.
Setting the volumes equal for the cone and the hemisphere, we get 27π = (2/3)πR³.
Solving for R gives R³ = 40.5, so R = 3 cm.

Standard: G.GMD.A.3 | DOK: 4

Multiple choice📘 6.1.8.EconET.4.b🧠 DOK 3

Question:

How did the Louisiana Purchase and subsequent western exploration contribute to the economic development of the United States in the early 19th century?

Answer Choices:

A) A) It led to the immediate industrialization of the western territories.
B) B) It provided land for agriculture, which boosted trade and commerce.
C) C) It resulted in the discovery of gold, which brought wealth to the nation.
D) D) It caused the relocation of the nation's capital to a western city.

✅ Answer:

B) It provided land for agriculture, which boosted trade and commerce.

💡 Explanation:

The Louisiana Purchase in 1803 significantly expanded the territory of the United States, providing vast tracts of land suitable for agriculture.
This expansion allowed for increased agricultural production, which in turn boosted trade and commerce as goods could be transported more easily across the expanded nation.
Western exploration further encouraged settlement and exploitation of natural resources, contributing to economic growth.

Standard: 6.1.8.EconET.4.b | DOK: 3

← Previous

Page 14 of 31