Algebra 2 -- Syllabus Fall 25/26

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope (m) is a measure of the steepness of a line, calculated as the rise over run between two points on the line.

Front

What is a function?

Back

A relation where each input has exactly one output. It can be represented as an equation, a graph, or a table.

Front

What is the difference between a polynomial and a linear function?

Back

A polynomial function can have multiple terms with varying degrees, while a linear function is a polynomial of degree one.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the quadratic formula?

Back

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

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect.

Front

What is the purpose of factoring in algebra?

Back

Factoring is used to simplify expressions, solve equations, and find roots of polynomials.

Front

What is a rational function?

Back

A function that can be expressed as the ratio of two polynomials, typically in the form f(x) = P(x)/Q(x), where Q(x) ≠ 0.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of a parabola, depending on its orientation (opening up or down).