Algebra 2 Final Exam: Extra Practice

Front

Given f(x) = 2x and g(x) = x² + 3, find f(g(x)).

Back

2x² + 6

Front

How many solutions does the equation 4|m| = -20 have?

Back

no solution

Front

Simplify √500x⁸y².

Back

10x⁴y√5

Front

What is the degree of the polynomial 3x⁴ + 2x³ + x + 5?

Back

4

Front

Find the inverse of f(x) = x⁴ - 2.

Back

∜(x + 2)

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has the form f(x) = mx + b, while a quadratic function has the form f(x) = ax² + bx + c.

Front

What is the quadratic formula?

Back

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

Front

What does it mean for two functions to be inverses?

Back

Two functions f and g are inverses if f(g(x)) = x and g(f(x)) = x for all x in the domain.

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex (h, k) of a quadratic function f(x) = a(x - h)² + k can be found using h = -b/(2a) and k = f(h).