Algebra 2 Sol Released

What is the simplified form of the following expression?

• (2y⁵) ÷ (x⁵)
• (22y²) ÷ (x⁷)
• (2y²) ÷ (x⁷)
• (22y⁵) ÷ (x⁵)

When completely factored, what does 4x² - 11x + 6 equal?

• (2x + 2)(2x + 3)
• (2x - 2)(2x - 3)
• (x + 2)(4x + 3)
• (4x - 3)(x - 2)

Hillary is looking to purchase a piece of land to build a library.The rectangular plot of land has a length (∫) that is 25 feet longer than its width (w). The total area of the land is 6600 square feet. Which of the following best models the scenario?

• ∫ + w = 6600
• ∫ ⋅ (∫ + 25) = 6600
• 2 ⋅ (w + 25) = 6600
• w ⋅ (w + 25) = 6600

What is the simplified form of the following?
[(-2x³) ÷ (y²)]^-3

• - [(y⁶) ÷ (8x⁹)]
• (6y⁵) ÷ (x⁶)
• - [(y⁵) ÷ (6x⁶)]
• - [(8x⁹) ÷ (y⁶)]

A paving company is paving the rectangular student parking lot at Hamilton High School. 
⋅ The length of the parking lot can be represented as (5p - 7)
⋅ The width of the parking lot can be represented as (3p + 4)
Which expression represents the area of the parking lot?

• 15p² - 41p - 28
• 8p² + 41p - 3
• 8p² - p - 3
• 15p² - p - 28

What is the value of
8c² - 2(∛a) - ∣3b - 7∣
if a = 8, b = 2, and c = ¹/₂?

• -3
• -1
• 5
• 7

What are the factors of 18m² - 8n², when it is completely factored?

• 2(3m + 2n)(3m - 2n)
• 2(9m² - 4n²)(9m² + 4n²)
• 2(9m² - 4n²)
• (3m + 2n)(3m - 2n)

Find the slope of the line passing through the point (-1, -3) and having an x-intercept of 2.

• -(¹/₅)
• ¹/₃
• 1
• 5

Galen is planning a trip to New York City. His plane ticket costs $750.00 and the hotel will cost $125.00 each night. If he wants to spend no more than $1,400.00, how many nights can he stay?

• no more than 3 nights
• no more than 4 nights
• no more than 5 nights
• no more than 6 nights

Identify the property that justifies the work between Step 2 and Step 3.

• Additive Identity Property
• Additive Inverse Property
• Subtraction Property of Equality
• Division Property of Equality