Honors Algebra 2 Final Review

Solve -2x² + 4x = 9

• (2 - i√14)/2   ,   (2 + i√14)/2

• (2 - i√-56)/2   ,   (2 + i√-56)/2

• (2 - i√-14)/2   ,   (2 + i√-14)/2

• (2 - √14)/2   ,   (2 + √14)/2

Find the average rate of change of f(x)=2x²+3x-1 from 1 to 2.

• 18

• -9

• 9

• 3

• A.
• B.
• C.
• D.

a⁶ / b¹² b¹²/ a⁴ a¹² / b⁶ 1 / a⁶b¹⁰

• a⁶ / b¹²

• b¹²/ a⁴

• a¹² / b⁶

• 1 / a⁶b¹⁰

• 1 / (t² √r³)
• r⁹ / t¹²
• 1/(r⁹t³⁶)
• √r³ / t³⁶

Calculate the average rate of change from 20 to 40 minutes.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Find the inverse of f(x) = x² - 5

• f^-1(x) = √(x) + 5

• f^-1(x) = ∛(x-5)

• f^-1(x) = ±√(x+5)

• f^-1(x) = x² - 5

Simplify 
3√5 + √20 - √45

• 3√-20

• 2√-20

• 3√5

• 2√5

-3√24 - √18 - 2√54=

• -12√5 - 3√2

• -12√6 - 3√2

• -3√2+ 12√3

• 3√2

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $344,022

• $31,500

• $15,000

• $28,500