#2 Algebra 2 - Spring Final Review

Solve the equation: x - 1 = √(2x + 6)

• x = 5

• x = -1

• x = 5 and x = -1

• x = -5 and x = 1

Solve the equation: x + 2 = √(x + 2)

• x = -2

• x = -1

• x = -2 and x = -1

• x = -2 and x = 1

What is the inverse of the function y = 10x + 3?

• x = 10y + 3

• y = (x - 3)/10

• x = (y - 3)/10

• y = (x + 3)/10

What is the inverse of the function y = 3x - 1?

• x = 3y + 1

• y = (x - 1)/3

• x = (y + 1)/3

• y = (x + 1)/3

• x = log₃(y + 8)

• y = log₃(x - 8)

• y = log₃(x + 8)

• y = x + 8

• x = log₂(y + 5)

• y = log₂(x - 5)

• y = log₂(x + 5)

• y = x - 5

Rewrite the logarithm: log₈ (a⁶ / b⁴)

• 6 log₈ a – 4 log₈ b

• log₈ (6a + 4b)

• log₈ (6a – 4b)

• 6 log₈ a + 4 log₈ b

Rewrite the logarithm: log₂(a³ / b⁸c⁵)

• 3 log₂ a – 8 log₂ b – 5 log₂ c

• log₂ (3a – 8b – 5c)

• log₂ (3a – 8b + 5c)

• 3 log₂ a – 8 log₂ b + 5 log₂ c

Rewrite the logarithm: log₃(xy²)

• log₃x - 2log₃y

• log₃x + 2log₃y

• log₃x + log₃2y

• 2log₃(x + y)

Rewrite the logarithm: log₂(x⁷y⁵)

• 7log₂x − 5log₂y

• 7log₂x + 5log₂y

• log₂7x + log₂5y

• log₂7x − log₂5y