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CCSS · Expressions & Equations

8.EE.C.7 — Solve linear equations in one variable, including equations with variables on both sides.

Cluster: Analyze and solve linear equations and pairs of simultaneous linear equations

What this standard asks students to do

8.EE.C.7 is a 8th grade Common Core standard in the Expressions & Equations strand. It asks students to: solve linear equations in one variable, including equations with variables on both sides. Teachers typically address it during the analyze and solve linear equations and pairs of simultaneous linear equations cluster, alongside the related standards listed below. FoxFish generates printable worksheets, auto-graded quizzes, and flashcard sets aligned to this standard in seconds.

Sample questions aligned to 8.EE.C.7

  1. Example 1

    Solve: 3x + 5 = 2x − 4.

  2. Example 2

    Solve: 4(x − 2) = 2x + 6.

  3. Example 3

    Solve: 5x − 9 = 3(x + 1).

Want a full worksheet? Generate 20 problems aligned to 8.EE.C.7.

Common student mistakes

Build distractors and reteach prompts around the errors students actually make on this standard.

  • 1Rushing to an answer without showing intermediate steps or citing evidence — 8th-grade students who skip this stage often can't debug their own errors.
  • 2Mis-identifying what the prompt is actually asking. On 8.EE.C.7, teachers see students latch onto surface keywords and pick the wrong operation.
  • 3Applying a memorized procedure to a case where it doesn't fit — the classic expressions & equations trap when problems change form (e.g., Solve: 3x + 5 = 2x − 4.).
Teacher tip · Use an error-analysis warm-up: post a wrong-answer solution and have students critique it. 8.EE.C.7 misconceptions surface fast this way.

Teacher FAQ

What does 8.EE.C.7 actually ask 8th-grade students to do?

Students are expected to solve linear equations in one variable. In the analyze and solve linear equations and pairs of simultaneous linear equations cluster this shows up when they solve problems and explain their reasoning. Full standard text: "Solve linear equations in one variable, including equations with variables on both sides."

How long should we spend on 8.EE.C.7 in a typical unit?

Middle-grade teachers typically spend 1–2 weeks of focused instruction and reassess in mixed-review problem sets. FoxFish's generator lets you spin up fresh practice each day to keep the reps varied.

What does mastery of 8.EE.C.7 look like on a quick check?

A student who's mastered 8.EE.C.7 can solve linear equations in one variable on unfamiliar prompts, not just the exact examples they practiced. Try one item like: "Solve: 5x − 9 = 3(x + 1)." — if they explain their reasoning without prompting, they're solid.

Related standards in this cluster

Teacher guides for 8.EE.C.7

Standards alignment

How to Write a 5th-Grade Math Worksheet Aligned to CCSS 5.NBT.B.7

A teacher's step-by-step plan for building a decimal operations worksheet aligned to Common Core 5.NBT.B.7 — with question types, answer key tips, and a free generator.

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Math worksheets for 8th grade

Generate a worksheet aligned to 8.EE.C.7

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