Algebra 1 Midterm 2024

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function in the form y = ax^2 + bx + c is the point (h, k) where h = -b/(2a) and k is the function value at h.

Front

How do you simplify an expression with parentheses and exponents?

Back

To simplify an expression like -2 ⋅ (3 + 8 ÷ 4)^2, first solve inside the parentheses, then apply the exponent, and finally multiply.

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by a monomial or another polynomial, similar to long division with numbers.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the same variable and exponent.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form y = ax^2 + bx + c.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the roots of a quadratic equation?

Back

The roots of a quadratic equation can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term (e.g., 3x^2), while a polynomial is a sum of two or more monomials (e.g., 3x^2 + 2x + 1).

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be simpler polynomials or numbers.