Algebra 2 Semester 1 Review

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

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 quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What does it mean for two functions to be inverses of each other?

Back

Two functions are inverses if the composition of the two functions results in the identity function, meaning f(g(x)) = x and g(f(x)) = x.

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse of a function, swap the x and y variables and solve for y.

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

What is the determinant of a matrix?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix and provides information about the matrix, such as whether it is invertible.

Front

What does it mean for a matrix to be invertible?

Back

A matrix is invertible if there exists another matrix such that when multiplied together, they yield the identity matrix.

Front

What is the process for simplifying a rational expression?

Back

To simplify a rational expression, factor the numerator and denominator and then cancel any common factors.