pdf Solving Inequalities With Decimal Values

This worksheet provides targeted practice with solving one-variable linear inequalities that involve decimal values. Students isolate the variable using inverse operations while carefully working with positive and negative decimals, reinforcing precision and accuracy throughout the solving process.

Problems include inequalities such as \(4.3 + x > 12.4\), \(x - 3.26 \ge -12.45\), and \(56.34 - x \le 40\). Students must attend to decimal alignment, sign changes, and inequality direction while expressing all final answers in decimal form. The consistent structure supports fluency and helps students build confidence when extending inequality skills beyond whole numbers.

By focusing exclusively on decimal values, this resource strengthens students’ ability to apply inequality reasoning in more realistic and precise numerical contexts. It works well as guided practice, independent work, or review within an expressions and equations unit.

Skills Assessed

• Solving one-variable linear inequalities
• Working with positive and negative decimal values
• Applying inverse operations accurately
• Maintaining correct inequality direction
• Expressing solutions in decimal form

Details

• Practice worksheet format
• 20 inequality problems
• All solutions expressed as decimals
• Answer key included

ID# 0340