Algebra 2 Midterm Review

Front

What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving addition, subtraction, multiplication, or division on both sides.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function f(x) at a specific point x=a, substitute a into the function and simplify.

Front

What is the process of factoring a quadratic equation?

Back

Factoring a quadratic equation involves rewriting it in the form (x - p)(x - q) = 0, where p and q are the roots of the equation.

Front

What is the vertex of a quadratic function in vertex form?

Back

The vertex of a quadratic function in the form y = a(x - h)² + k is the point (h, k).

Front

What does the domain of a function represent?

Back

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

Front

How do you simplify an expression involving subtraction of polynomials?

Back

To simplify an expression involving subtraction of polynomials, distribute the negative sign and combine like terms.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the significance of the leading coefficient in a quadratic function?

Back

The leading coefficient (a) determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

How do you determine the x-intercepts of a quadratic function?

Back

To find the x-intercepts of a quadratic function, set y = 0 and solve the equation ax² + bx + c = 0.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).