Skip to content
Grade 7algebraOriginal practice

Algebra: Solving Two-Step Linear Equations

Master inverse operations, isolate unknown variables, and solve multi-step linear equations in real-world word contexts with full answer key.

The same content with a different order. No new questions are added. Choose “Save as PDF” in your browser’s print window to keep a copy.

Page layout

0 practice pages · 0 answer pages. Pages are added automatically when needed. Question content and answer keys stay together.

Sheet D6625965 · questions and answers share this ID
Jump to practice ↓Jump to answers ↓

About this practice

Grade 7 · math · Matching answer key included · US Letter and A4

US Letter practice PDF ↓ · Answer PDF ↓A4 practice PDF ↓ · Answer PDF ↓
Preview the original practiceAlgebra: Solving Two-Step Linear Equations: first student practice page

Downloads contain the original practice. Use the workbench above for new questions and custom printing.

Teaching guide, sample answers and curriculum references

Before you begin

Use inverse operations and interpret equality as a balance.

How to use this worksheet

  1. Model the target skill: apply inverse operations (addition/subtraction, then multiplication/division) to isolate a variable. Use the first task as a guided example before asking for an independent response.
  2. Check readiness first: Use inverse operations and interpret equality as a balance.
  3. Discuss an incorrect response using this distinction: Undo operations in the correct order and make the same change on both sides.

A common mistake to discuss

Undo operations in the correct order and make the same change on both sides.

What to practice next

Substitute a solution into the original equation to check equality.

Sample question and answer

Solve for x in the equation: 4x - 17 = 35

  • A. x = 4.5
  • B. x = 13
  • C. x = 9
  • D. x = 15

Answer: B. Step 1: Add 17 to both sides: 4x = 35 + 17 = 52. Step 2: Divide both sides by 4: x = 52 ÷ 4 = 13.

Intended curriculum references: CCSS.MATH.CONTENT.7.EE.B.4 · CCSS.MATH.CONTENT.7.EE.B.4.A. These references describe learning goals; they are not endorsements.

Published 2026-10-02; updated 2026-10-02. Original MakeWorksheet practice. Automated consistency checks support publication; independent subject-specialist review is not recorded. Read our editorial policy.

Continue practicing

Argumentative Reading: Evaluating Claims, Evidence & Reasoning: first student practice pagePractice preview
Grade 7
RI.7.8 Key

Argumentative Reading: Evaluating Claims, Evidence & Reasoning

Trace and evaluate an author's argument. Distinguish sound reasoning and credible empirical evidence from unsupported rhetorical claims.

Shuffle this practice
Customize →
Life Science: Cell Structure & Organelle Functions: first student practice pagePractice preview
Grade 7
NGSS.MS-LS1-2 Key

Life Science: Cell Structure & Organelle Functions

Investigate eukaryotic cell anatomy. Compare plant and animal organelles including mitochondria, chloroplasts, nucleus, and ribosomes with diagrams.

Shuffle this practice
Customize →
Grade 7
C3.D2.His.2.6-8 Key

World History: Afro-Eurasian Trade & The Silk Road

Examine the trans-Eurasian trade routes connecting China, Central Asia, the Middle East, and Europe. Explore cultural diffusion, technology, and economic exchange.

Shuffle this practice
Customize →