Algebra 2 Mock Test (Part 1)

Front

Describe the transformation of f(x) = x² to the function f(x) = (x - 7)²

Back

Shift right 7

Front

Simplify: (6 - 3i)(-6 - 7i)

Back

-57 - 24i

Front

Simplify: (2 - 2i) + (-3 + 7i)

Back

-1 + 5i

Front

Solve by taking square roots: -8n² = -128

Back

{4, -4}

Front

Solve with the quadratic formula: 6p² + 8p - 128 = 0

Back

{4, -16/3}

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x - h)² + k, where (h, k) is the vertex.

Front

What does the discriminant of a quadratic equation tell us?

Back

It indicates the nature of the roots: positive (two real roots), zero (one real root), negative (two complex roots).

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for ax² + bx + c = 0.

Front

How do you complete the square for the equation x² + 6x + 5 = 0?

Back

Rewrite as (x + 3)² - 4 = 0.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c.