Algebra 2 Mid-Year Test Study Guide

Simplify the expression: 25/243

• 1/27

• 5/81

• 1/81

• 1/9

Write the expression in radical form: 1/3(32)

• √32

• ∛32

• ∜32

• ∜√32

Solve the equation: x^2 - 5x + 14 = 0

• x = 2 + 3i, x = 2 - 3i

• x = 3 + 2i, x = 3 - 2i

• x = 4 + 3i, x = 4 - 3i

• x = 5 + 2i, x = 5 - 2i

Identify the special factoring pattern for the expression: p^3 - 8

• Difference of Squares

• None of the above

• Sum of Cubes

• Difference of Cubes

Find the quotient by long or synthetic division: (2a^4 + 6a^2 - 20) ÷ (a^2 + 3)

• 2a^2 - 6a + 20

• 2a^2 - 6

• 2a^2 + 6a - 20

• 2a^2 + 6

Solve the absolute value inequality: |x - 3| < 5

• x < 2, x > 8

• x < -2, x > 8

• -2 < x < 8

• x < -8, x > 2

Find the discriminant of the equation: x^2 - 27x + 150 = 0

• d = 81, 1 rational root

• d = 81, 2 imaginary roots

• d = 81, 2 rational roots

• d = 81, 2 irrational roots

Identify the parent function and describe the transformations for the equation: f(x) = -2(x - 9)^2

• Quadratic, reflected over y-axis, shifted 9 units right

• Quadratic, reflected over x-axis, shifted 9 units right

• Quadratic, reflected over x-axis, shifted 9 units up

• Quadratic, reflected over y-axis, shifted 9 units up

Graph the absolute value inequality: f(x) < -4x + 1

• Option A

• Option B

• Option D

• Option C

Find the inverse of the function: f(x) = -5x + 1

• f^(-1)(x) = (1 + x)/5

• f^(-1)(x) = (x - 1)/5

• f^(-1)(x) = (x + 1)/5

• f^(-1)(x) = (1 - x)/5