Home > Algebra > Quadratic Inequalities

Solving Quadratic Inequalities Worksheets

Basic comprehension of setting associated quadratic equation to zero, factor the equation and find the zeros to obtain break points are the prerequisite to solve these quadratic inequalities worksheets. This assembly of Algebra worksheets is designed to assist students in grasping the concept of solving quadratic inequalities algebraically, graphically, and in table form. Graphing inequality worksheets require students to graph the parabola and shade the solution region based on the inequality. A number of free printable worksheets are also up for grabs!


Printing Help - Please do not print Quadratic Inequalities worksheets directly from the browser. Kindly download them and print.

Solve the Quadratic Inequalities Algebraically: Level 1

Transform the quadratic inequalities into quadratic equations and solve them using factorization. The leading coefficients in this set of worksheets are either -1 or 1. The break points are integers.

Solve the Quadratic Inequalities Algebraically: Level 2

Solve the quadratic inequalities by finding the factors, equate them (factors) to zero and arrive at the break points. The leading coefficients in this batch of worksheets are integers. Use the answer key to verify your responses.

Solve the Quadratic Inequalities Algebraically: Level 3

Convert the given quadratic inequalities into standard form and factor them to find the turning point. Use the break points to arrive at the solution. There are eight problems in each worksheet.

Solve the Quadratic Inequalities: Table method

Transform the given quadratic inequalities into factor form. List out the factors and the intervals in the table. Take a test value from each interval and apply on both the factors. Complete the table with the derived plus or minus sign. Select the correct range. Use the 'Download All' option to gain adequate practice on this topic.

Graph and Solve the Inequalities

Graph the parabola y = f(x) for the given quadratic inequality f(x) ≥ 0 or f(x) ≤ 0. Find the vertex and the intercepts. Plot the points and graph the parabola. Identify the values of x for which the part of the parabola will either be negative or positive depending on the inequalities. 

Graphing Quadratic Inequalities

It contains three worksheets on graphing quadratic inequalities. Draw the graph of quadratic inequality using the information derived from the associated quadratic equation. Use dotted lines for > and < signs; and solid lines for ≥ and ≤ signs. Identify the region in the graph by either using a point inside or outside the parabola. The solution will be the region on the graph that contains the point which satisfies the inequality.