CurriculumGrade 7Mathematics

Two-Step Equations & Inequalities

Aligned to 7.EE.B.4 — Common Core State Standards for Mathematics.

What this lesson teaches

Undo operations in reverse order: first undo addition/subtraction, then undo multiplication/division. For inequalities, flip the sign if you multiply or divide by a negative.

Worked example

3x + 4 = 19 → subtract 4 → 3x = 15 → divide by 3 → x = 5. Check: 3(5)+4 = 19. ✓

Practice questions

  1. Solve 2x − 7 = 11.
  2. Solve 5 − 2x = 13.
  3. Solve the inequality −3x > 12 and graph the solution.

Watch the lesson

Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

▶ Watch this lesson

En español

Ecuaciones e Inecuaciones de Dos Pasos

Deshaz las operaciones en orden inverso: primero deshaz la suma o resta, luego deshaz la multiplicación o división. En las inecuaciones, invierte el signo si multiplicas o divides por un número negativo.

Ejemplo: 3x + 4 = 19 → resta 4 → 3x = 15 → divide entre 3 → x = 5. Comprueba: 3(5) + 4 = 19. ✓

More Expressions & Equations lessons

Equivalent Expressions and Simplifying7.EE.A.1Equivalent Expressions Reveal Meaning7.EE.A.2Solving Multi-Step Real-Life Problems7.EE.B.3

Teach this lesson today

An AI tutor that guides with questions instead of just giving answers — all K–12 core subjects, every child in the family.

Start free — no card required