Algebra II Concepts Review

When f(x) = 2x and g(x) = x²+3 , find (f ○ g)(x)

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Solve the log equation.

• x=4⁄3

• x=-4⁄3

• x=10

• x=-10

Condense

• log₈(x⁶)/log₈(y³)

• log₈(x⁶/y³)

• log₈(x/y³)

• log₈(x⁶y³)

Expand using Pascal's Triangle (x + 2)³

• x³ + 6x² - 12x + 8

• x³ + 6x² + 12x + 8

• x³ - 6x² + 12x - 8

• x³ + 4x² + 12x + 6

Write the equation for the parabola.

• y = -(x + 1)² - 4

• y = -(x + 1)² + 4

• y = -(x - 1)² - 4

• y = (x + 1)² + 4

Find the vertex of the function. f(x) = x² - 8x + 15.

• (-4, -1)

• (4, -1)

• (4, 10)

• (-4, 7)

Factor completely: x²-6x+8

• (x-2)(x-4)

• (x-1)(x-8)

• (x+2)(x+4)

• (x+1)(x+8)

√96p⁹

• 4p³

• 4p⁴√p

• 4p⁴√6p

• 4p⁴√2p

Simplify.

• A

• B

• C

• D

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3