2024 Alg 2 1st Semester Exam

Front

What is a Linear Absolute Value function?

Back

A function that combines linear functions with absolute value, typically in the form f(x) = |mx + b|, where m is the slope and b is the y-intercept.

Front

What is the domain of a set of points?

Back

The set of all possible x-values (inputs) for a function or relation. For the set {(1,2), (3,4), (5,10)}, the domain is {1, 3, 5}.

Front

What does it mean if a polynomial cannot be factored using the Difference of Squares?

Back

It means that the polynomial does not fit the form a^2 - b^2 = (a + b)(a - b). For example, 9n^2 + 1 cannot be factored this way.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that there are an infinite number of values that satisfy all equations in the system, indicating that the equations represent the same plane or line.

Front

What is a Cubic function?

Back

A function of the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.

Front

What is the difference between a Linear function and a Quadratic function?

Back

A Linear function has a constant rate of change and is represented by a straight line, while a Quadratic function has a variable rate of change and is represented by a parabola.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1) for points (x1, y1) and (x2, y2).

Front

What is the range of a function?

Back

The set of all possible output values (y-values) of a function. It is determined by the function's behavior and its domain.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the values that satisfy all equations simultaneously.