Skip to main content
🔢 Grade 7 • 🟰 Equations and Inequalities

Equations and Inequalities

Write, simplify, and solve equations and inequalities to model real situations with rational numbers and multi-step reasoning.

📋 What You'll Learn

  1. 1 Use properties to simplify and compare algebraic expressions
  2. 2 Solve multi-step equations with rational-number coefficients and constants
  3. 3 Write and solve inequalities in context
  4. 4 Interpret what a solution means and check whether it fits the original problem

🗺️ Learning Path

📖

Lesson

Read the full step-by-step lesson with examples and key vocabulary

Start Learning →
📝

Equations and Inequalities Practice

medium • 18 minutes • 8 problems

Print Worksheet →
📝

Multi-Step Equations and Checking Worksheet

medium • 20 minutes • 8 problems

Print Worksheet →
📝

Inequalities and Real-World Models Worksheet

hard • 20 minutes • 8 problems

Print Worksheet →
🎯

Practice Quiz

Test your knowledge with an interactive quiz and get instant feedback

Take the Quiz →
👩‍🏫

Teaching Guide

For parents & teachers — strategies, activities, and differentiation tips

View Guide →

🔗 Related Topics

Review earlier skills, open nearby same-grade topics, or move to the next connected idea in the sequence.

Before This Topic

Use these earlier skills when the current lesson feels too fast or assumes knowledge students do not yet control.

Build BackgroundGrade 6
🧩Expressions and Equations

Write, read, and evaluate expressions and solve one-step equations and inequalities using clear variable reasoning.

Build BackgroundGrade 7
➕Operations with Rational Numbers

Add, subtract, multiply, and divide rational numbers with meaning, using signs, opposites, and real-world contexts instead of memorized sign tricks alone.

Build BackgroundGrade 6
🧭Rational Numbers and the Coordinate Plane

Work with positive and negative numbers, absolute value, and graphing points in all four quadrants on the coordinate plane.

Move to the Next Skill

These are the strongest next-step topics when students are ready to carry this idea into a harder or broader application.

Up NextGrade 8
📈Linear Relationships and Slope

Interpret slope as rate of change, identify initial value, and compare linear models from tables, graphs, equations, and real contexts.