Final Review Semester 1

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is given by: y = ax² + bx + c.

Front

What is the vertex of the quadratic function f(x) = (x + 8)(x - 2)?

Back

The vertex of the quadratic function f(x) = (x + 8)(x - 2) is (-3, -25).

Front

Simplify the expression: (x² - 4x) - (3x² - 2x + 4)

Back

The simplified expression is -2x² - 2x - 4.

Front

What is the name of the expression 3x?

Back

3x is called a Monomial to the first degree.

Front

Simplify the expression: (2x + 5y - z) + (-6x - 4y + 7z)

Back

The simplified expression is -4x + y + 6z.

Front

What is the factored form of a quadratic equation?

Back

The factored form of a quadratic equation is expressed as: y = a(x - r1)(x - r2), where r1 and r2 are the roots.

Front

What is the definition of a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax² + bx + c.

Front

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

Back

The vertex (h, k) can be found using the formula h = -b/(2a) and k = f(h).

Front

What is the difference between a monomial and a binomial?

Back

A monomial is an algebraic expression with one term, while a binomial has two terms.

Front

What is the degree of the polynomial 4x^3 - 2x + 7?

Back

The degree of the polynomial 4x^3 - 2x + 7 is 3.