Quadratic Equations and Inequalities Math Activities

Definition

Quadratic equations and inequalities involve expressions of degree two, generally written in the form
$ax^2 + bx + c$, where $a \neq 0$.

A quadratic equation sets this expression equal to zero or another value and is solved to find the values of the variable that make the equation true.
A quadratic inequality compares a quadratic expression using inequality symbols such as $<, >, \le, \ge$<,>,≤,≥, and its solution is a range (or ranges) of values that satisfy the condition.

Summary

Quadratic equations are solved using methods such as factoring, completing the square, or the quadratic formula, and their solutions are often represented as points where a parabola intersects the x-axis. Quadratic inequalities extend this idea by determining intervals where the quadratic expression is positive or negative, usually analyzed through graphs or sign charts. Together, quadratic equations and inequalities are essential for modeling and solving real-life problems involving maximums, minimums, motion, area, and optimization.

Quadratic Equations and Inequalities Math Activities

This is a fantastic bundle which includes 10 activities with answer guides about Quadratic Equations and Inequalities. All our worksheets are completely editable so can be tailored for your curriculum and target audience.

Resource Examples

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Worksheets Activities Included

• Factoring Practice
• Quadratic Formula
• Completing the Square
• Nature of the Roots
• Solving Quadratic Inequalities (Factoring)
• Inequalities Using Sign Charts
• Graph Interpretation
•  Word Problem – Equation
• Word Problem – Inequality
• Mixed Review