Algebra 2 Review

Front

What is the factored form of x³ - 125?

Back

(x - 5)(x² + 5x + 25)

Front

Simplify the expression: 25x²y³ - 5xy² ∛5x

Back

-5xy² ∛5x

Front

Solve for x and y: 2x - 3y = -1, y = x - 1

Back

(4, 3)

Front

What is the solution set to x² = 2x - 5?

Back

{1 ± 2i}

Front

What is the difference of cubes formula?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a

Front

What is the vertex form of a quadratic function?

Back

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

Front

What does it mean for a function to be quadratic?

Back

A function is quadratic if it can be expressed in the form f(x) = ax² + bx + c, where a ≠ 0.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots.

Front

What is the process of completing the square?

Back

Rearranging a quadratic equation to the form (x - p)² = q.