Printable Absolute Value Inequalities Worksheet | HS Algebra

This algebra worksheet gives high school students focused practice on solving absolute value inequalities. The resource includes instructional notes and practice problems, guiding learners from understanding the core concepts of "greatOR" and "less thAND" to applying them independently to solve and graph multi-step inequalities.

At a Glance

• Grade: 9–12 · Subject: Algebra
• Standard: CCSS.MATH.CONTENT.HSA-CED.A.1 — Create and solve inequalities in one variable and use them to solve problems.
• Skill Focus: Solving Absolute Value Inequalities
• Format: 4 pages · 22 problems · Answer key included · PDF
• Best For: Guided notes, independent practice, skill reinforcement
• Time: 30–45 minutes

This four-page PDF contains two pages of scaffolded notes and two pages of practice. The notes walk students through isolating the absolute value and setting up compound inequalities. The practice section has 22 problems, from basic to multi-step, with a complete answer key for easy grading.

Skill Progression

The worksheet follows a gradual-release model.

• Guided Practice: The first two pages serve as guided notes, breaking down the process with worked examples and "You Try" problems for "less than" and "greater than" cases.
• Supported Practice: The first 10 practice problems allow for immediate reinforcement with teacher support.
• Independent Practice: The final 8 complex inequalities require students to synthesize their understanding independently.

This I Do, We Do, You Do structure ensures a smooth transition from concept acquisition to independent application.

Standards Alignment

This worksheet aligns with CCSS.MATH.CONTENT.HSA-CED.A.1, requiring students to create and solve inequalities in one variable. It also supports CCSS.MATH.CONTENT.HSA-REI.B.3 by having students solve complex linear inequalities. Both codes can be copied directly into lesson plans or curriculum maps.

How to Use It

Use this resource during your inequalities unit. It works well for direct instruction or as independent practice after a lesson. For formative assessment, check if students correctly identify "AND" versus "OR" inequalities. Expect completion in 30-45 minutes, making it an efficient class activity or homework assignment.

Who It's For

Designed for Algebra 1 or 2 students learning this topic, this resource is also suitable for re-teaching or review. The clear structure supports all learners. Pair this worksheet with an anchor chart summarizing the "less thAND" and "greatOR" rules to provide additional visual support.

Aligned with CCSS.MATH.CONTENT.HSA-CED.A.1, this worksheet provides focused practice on solving absolute value inequalities, a key skill for success in higher-level mathematics. The structured progression from guided notes to independent problem-solving reflects principles of effective instruction where procedural fluency is built upon conceptual understanding. Research from Fisher & Frey (2014) emphasizes the importance of this gradual release of responsibility for creating self-reliant learners. By providing 22 targeted problems, this resource gives students the deliberate practice needed to internalize the algebraic manipulations required for this topic, moving them toward mastery. The inclusion of an answer key facilitates the immediate feedback loop critical for student learning and progress monitoring. This approach is consistent with findings that emphasize practice as a core component of mathematical proficiency.