Key Algebra Terms Quiz

Key Algebra Terms

• Absolute Value Function: Defined as f(x)=|x|, this function always yields non-negative values, where f(x) ≥ 0 for all x.

• Axis of Symmetry: A vertical line through the vertex of a parabola, acting as a mirror that divides it into two symmetric halves.

• Completing the Square: A method used to convert a binomial of the form x² + bx into a perfect square trinomial by adding a constant term.

• Dilation: Refers to a transformation that scales the size of a figure while preserving its shape.

• Discriminant: In the quadratic formula, represented by the expression b² - 4ac, this determines the nature of the roots.

• Double Root: Occurs in a quadratic function when both roots are the same, indicating a repeated solution.

• Greatest Integer Function: Notated as f(x) = [|x|], it outputs the largest integer less than or equal to x, creating a step-like graph.

• Maximum: The highest point that can be reached on the graph of a curve, representing the maximum value of the function.

• Minimum: The lowest point on the graph of a curve, representing the minimum value of the function.

• Parabola: The graphical representation of a quadratic function, characterized by its U-shape.

• Piecewise Defined Function: A function composed of multiple expressions, each applicable to specific intervals of the input variable.

• Piecewise Linear Function: A type of piecewise function that consists of linear expressions across its defined intervals.

• Quadratic Formula: Used for solving quadratic equations of the form ax² + bx + c = 0, provided a ≠ 0. Expressed as x = (-b ± √(b² - 4ac)) / (2a).

• Quadratic Function: An equation defined as ax² + bx + c, where a ≠ 0, representing a parabolic relationship between variables.

• Reflection: A transformation that flips a figure across a line, especially relevant when a negative sign precedes the quadratic term in a function.

• Standard Form: The format ax + by = c for linear equations, adhering to constraints where a ≥ 0, both a and b are not zero, and the coefficients are integers with a greatest common factor of 1.

• Step Function: Exhibits a graph composed of horizontal line segments, creating steps in the function’s value.

• Transformation: Describes any movement made to a geometric figure, whether through translation, reflection, dilation, or rotation.

• Translation: A specific type of transformation where a figure shifts its position without rotation or resizing.

• Vertex: Represents the peak or lowest point of a parabola, where either maximum or minimum occurs, crucial for understanding the parabola's behavior.

Test your understanding of essential algebra concepts with this quiz on key terms. From the absolute value function to the greatest integer function, each question will challenge your knowledge and application of these foundational ideas. Perfect for students looking to reinforce their algebra skills.