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Sample Question of the Day
Question:
Simplify the expression (x^(1/3) * y^(1/6))^6 using the properties of exponents.
💡 Explanation:
Using the properties of exponents, when raising a power to a power, you multiply the exponents.
Therefore, (x^(1/3))^6 = x^(1/3 * 6) = x^2 and (y^(1/6))^6 = y^(1/6 * 6) = y^1 = y.
Hence, the expression simplifies to x^2 * y.
Standard: N.RN.A.2 | DOK: 2
Recent Questions
Throughout history, rulers have often relied on religion and other strategies to unify and govern expanding territories that encompass diverse populations. For instance, in the Roman Empire, Christianity was adopted as the state religion, which helped unify the empire's vast and varied peoples. Similarly, in the Islamic Caliphates, Islam served as a unifying force that transcended ethnic and cultural boundaries. In contrast, the Mongol Empire, which spanned a vast expanse of Asia and Europe, implemented a policy of religious tolerance, allowing conquered peoples to maintain their religious practices, while also fostering trade and communication across the empire. These strategies highlight how rulers have utilized religion and other means to create a cohesive governing structure amidst diversity.
Question:
Analyze how different rulers in history have used religion or other strategies to unify and govern their territories. Select the appropriate strategy used by each empire from the dropdown options.\n\n1. Roman Empire\n2. Islamic Caliphates\n3. Mongol Empire
Answer Choices:
- A) Adopted Christianity as a state religion
- B) Unified through Islam
- C) Practiced religious tolerance
💡 Explanation:
- The Roman Empire adopted Christianity as a state religion to unify its diverse population.
- The Islamic Caliphates used Islam as a unifying force across ethnic and cultural lines.
- The Mongol Empire practiced religious tolerance to maintain cohesion across its vast territories.
Standard: 6.2.8.CivicsPI.4.a | DOK: 4
Question:
Which of the following factors contribute to the patterns of atmospheric and oceanic circulation that determine regional climates? Select all that apply.
Answer Choices:
- A) Unequal heating of the Earth
- B) Rotation of the Earth
- C) Gravitational pull of the moon
- D) Seasonal changes in daylight
- E) Human industrial activity
💡 Explanation:
- The patterns of atmospheric and oceanic circulation, which determine regional climates, are primarily influenced by the unequal heating of the Earth and the rotation of the Earth.
- These factors create wind and ocean current patterns that affect climate.
- Gravitational pull of the moon, seasonal changes, and human activity have different roles and impacts on Earth's systems.
Standard: MS-ESS2-6 | DOK: 1
Question:
A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm. Draw a net that represents this rectangular prism. Then, calculate the surface area of the prism using the net you created. Explain each step of your process.
💡 Explanation:
This question requires students to visualize and draw a 2D net to represent a 3D shape, a rectangular prism in this case.
By calculating the area of each part of the net and summing them up, students demonstrate their understanding of how to find the surface area of 3D figures.
This process involves spatial reasoning and understanding the relationship between 2D and 3D figures, which aligns with DOK level 3 complexity.
Standard: 6.G.A.4 | DOK: 3
Question:
Plot the points A(2, 3), B(-1, -4), and C(0, 5) on a coordinate plane. Describe in which quadrant or on which axis each point lies.
💡 Explanation:
To determine the quadrant or axis of each point, look at the signs of the coordinates: - For Point A(2, 3), both coordinates are positive, placing it in Quadrant I.
- For Point B(-1, -4), both coordinates are negative, placing it in Quadrant III.
- For Point C(0, 5), the x-coordinate is zero, so it lies on the y-axis.
Standard: 6.NS.C.8 | DOK: 1
The sun was setting as Maria packed her bags for the trip. Meanwhile, her brother finished his homework in the next room. Just as they were about to leave, a sudden storm rolled in, forcing them to delay their departure. Finally, the skies cleared, allowing them to begin their journey under the stars.
Question:
Which of the following transition words or phrases from the passage convey a change in time or setting?
Answer Choices:
- A) Meanwhile
- B) Just as
- C) Finally
- D) Forcing them
- E) Under the stars
💡 Explanation:
- The transition words 'Meanwhile,' 'Just as,' and 'Finally' are used to convey a sequence of events and shifts in time within the passage.
- 'Meanwhile' indicates simultaneous actions in different locations, 'Just as' signals a moment of interruption or change, and 'Finally' shows the conclusion of a sequence of events.
Standard: W.NW.6.3.c | DOK: 2
In her essay on renewable energy, Linda Green emphasizes the potential of solar power by highlighting its declining cost and increasing efficiency. Meanwhile, in his article, James White argues that wind energy should be prioritized due to its reliability and lower environmental impact compared to solar power. Both authors provide compelling evidence but focus on different aspects of renewable energy sources to support their claims.
Question:
How do the authors shape their presentations of renewable energy?
Answer Choices:
- A) Linda Green focuses on the environmental impact of solar power, while James White highlights the cost benefits of wind energy.
- B) Linda Green emphasizes the declining cost and efficiency of solar power, while James White focuses on the reliability and environmental impact of wind energy.
- C) Linda Green argues for the reliability of solar power, while James White discusses the efficiency of wind energy.
💡 Explanation:
- Linda Green discusses the declining cost and increasing efficiency of solar power, whereas James White emphasizes the reliability and lower environmental impact of wind energy, thus shaping their presentations around different evidence and interpretations.
Standard: RI.CT.7.8 | DOK: 2