Free Printable Inequality Story Problems Worksheets for Grade 6

In 6th grade, students focus on writing inequalities of the form x > c or x < c to represent a constraint in a real-world problem. The emphasis is on translating verbal phrases into mathematical statements and understanding that inequalities can have infinitely many solutions, which they learn to represent on a number line.

Start with concrete examples and a keyword chart. For instance, use a scenario like "You must be at least 48 inches tall to ride the roller coaster" to introduce the concept of "t ≥ 48". Have students brainstorm other real-world situations involving minimums or maximums before moving to written problems.

Sixth graders benefit most from one-step inequality problems that require them to identify the variable, choose the correct symbol, and write the inequality. Practice should include a mix of "greater than," "less than," "at least," and "at most" scenarios to build fluency with the language of inequalities.

A primary challenge for 6th graders is distinguishing between "less than" (<) and "less than or equal to" (≤). They often struggle with translating phrases like "a maximum of" or "no more than" into the correct symbol (≤). Many also confuse the direction of the inequality when the variable is on the right side of the comparison, such as in 10 > x.

These worksheets are available as printable PDFs, perfect for independent practice or homework that reduces student screen time. They are also available as digital activities that can be assigned as an online quiz. Each format includes a complete answer key to streamline grading.

In line with Common Core's focus on reasoning about quantities, 6th-grade standards introduce inequalities as a way to model real-world constraints. Students learn to write an inequality to represent a situation and recognize that it has a range of solutions. This builds directly on their 5th-grade work with numerical expressions and prepares them for solving multi-step inequalities in 7th grade.