In these worksheets, students will learn to solve quadratic inequalities.

While we deal with equations and expressions daily in mathematics, there is another category that is termed as inequalities. So, what are inequalities? Inequalities are a relation between two values when they are not equal. They are written with signs such as "greater than," "less than," "greater than or equal to," or "less than or equal to." These are known as the inequality symbols. There is a type of inequality that is termed as quadratic inequality. These inequalities are functions whose degree is 2 and where y is not always exactly equal to the function. Here is how a quadratic inequality looks like; 3x2 + 4x - 10 ≥ 25 Sometimes, there are two expressions on both sides of these symbols.

A quadratic inequality is a function with a degree of 2, in which y may not be exactly equal to the function. Quadratic inequalities use inequality symbols (less than, greater than, less than or equal to, and greater than or equal to) to express relationship. In these worksheets, students will solve quadratic inequalities. For some problems, students will solve quadratic equations algebraically. For others, they will also state the solution set of the problem and graph on a number line. Paper for the students' number line graphs is required to accompany some worksheets. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. When finished with this set of worksheets, students will be able to solve quadratic inequalities both algebraically and by graphing. These worksheets explain how to solve these types of problems both algebraically and by graphing. Sample problems are solved and practice problems are provided.

Skill Lesson

This worksheet explains how to solve quadratic inequalities algebraically. A sample problem is solved, and two practice problems are provided.

Practice Worksheet

Students will solve the first set of problems algebraically; they will find the solution set of the second set and graph on a number line. Ten problems are provided.

Problem Pack Practice

Students will solve problems algebraically and find the solution sets. Ten problems are provided.

Skills Review

The concept of how to solve quadratic inequalities algebraically is reviewed. A sample problem is solved and six practice problems are provided.

Topic Quiz

Students will demonstrate their proficiency in solve quadratic inequalities algebraically and graphing solution sets on number lines. Ten problems are provided.

You Got This? Skills Check

Students will solve quadratic inequalities algebraically. Three problems are provided, and space is included for students to copy the correct answer when given.