Grade 7 - Equations and Inequalities

Explanation and Free Practice Resources

Interpret equations as statements that two expressions are equal, using balance models and equivalent operations on both sides to represent one-variable relationships with integers and rational numbers. Represent one-variable inequalities on number lines with open or closed endpoints and shading for the full solution range, including positive and negative fractions and decimals, and reverse the inequality symbol when multiplying or dividing by a negative. Write and solve one-step and straightforward two-step linear equations and inequalities from contexts using inverse operations, then verify equation solutions by substitution and interpret results in context.

On this page:

Master skills like “Model equations using a balance”, “Solve simple two-step equations”, and “Solve one-step addition equations” with unlimited, free practice problems
Download (or modify) free worksheets on Equations and Inequalities you can use at home or in class with practice problems across all skills in this group including “Solve one-step division equations”, “Solve one-step subtraction equations”, “Represent inequalities on a number line”.
Start working on adaptive units like “Algebra Basic Concepts - Practice” or “Algebra Basic Concepts - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.

Equations and Inequalities: Individual Skills

Master 10 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.

Your results

Equations and Inequalities10 skills

Practice 'Interpret an equation as a statement of equality'

Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.

Hover a skill above to start practicing.

Download/Modify Free Grade 7 'Equations and Inequalities' Worksheet

Print this free 'Equations and Inequalities' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.

Units Teaching These Skills

These adaptive units introduce, teach, or reinforce skills in this group (Equations and Inequalities) through scaffolded problems that grow in difficulty as concepts are understood.