Algebra 2 Exam Review

Front

What is the factorization of x² + 5x + 6?

Back

(x + 2)(x + 3)

Front

Which expression is not equivalent to the others? 2 log_b(5/3), log_b∛5², ⅓log_b25, ⅔log_b5

Back

2 log_b(5/3)

Front

What does log₂(1/32) = -5 represent?

Back

2⁻⁵ = (1/32)

Front

Simplify (a³b⁻²)⁻² assuming no variable equals zero.

Back

b⁴/a⁶

Front

What is the inverse of the function f(x) = 3x + 2?

Back

g(x) = (x - 2)/3

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 quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the product of powers property?

Back

a^m * a^n = a^(m+n) for any real number a.

Front

What is the power of a power property?

Back

(a^m)^n = a^(m*n) for any real number a.