Solving Equations with Rational Numbers

This 7th grade math worksheet focuses on solving one-variable linear equations with rational numbers—covering both fractions and decimals. Students work through a variety of one- and two-step equations using inverse operations, and can submit their answers in either simplified fraction form or decimals rounded to two decimal places. Designed to build fluency and confidence in equation solving, this worksheet aligns with Common Core Standard 7.EE.B.4.A and supports practice with rational number arithmetic. Whether used for independent work, review, or assessment, this auto-graded activity is perfect for classroom or at-home learning.

Learning Objective

Students will solve one-variable linear equations that include rational numbers—both fractions and decimals—using inverse operations and properties of equality. They will demonstrate fluency in solving both one-step and two-step equations and accurately round decimal answers to two decimal places when necessary.

Randomization Available

If randomization is enabled, each student will receive a different set of equations with varied rational number coefficients and constants. This ensures that every student works on a unique version of the worksheet while practicing the same core skills.

💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.

Solving Equations with Rational Numbers
Grade Level
7
Type
Skill Mastery
Duration
15 minutes
Auto-Graded
Yes
Randomized
Yes
Topics
Solving Equations, Linear Equations, Solving Linear Equations and Inequalities
Tags
Practice WorksheetTabular FormatDrill & PracticeHomeworkExit Ticket