Algebra II

Front

What is the solution to the equation (2x - 3)^(1/3) - 2 = 1?

Back

x = 15

Front

Solve for x: (x + 4)^(5/4) = 32.

Back

x = 12

Front

Factor the expression x^2 - 16.

Back

(x - 4)(x + 4)

Front

What is the value of a in the equation 5 = 2 + a^(1/3)?

Back

a = 27

Front

Identify the parent function that matches the graph: f(x) = √(x).

Back

Square root function.

Front

What is the definition of a polynomial function?

Back

A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the quadratic formula used to solve ax^2 + bx + c = 0?

Back

x = (-b ± √(b^2 - 4ac)) / (2a)

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it assigns a unique output for every input, meaning no two different inputs produce the same output.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one.