HUNTERTUTORING

Study Guide — 8.EE.C.7

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Solve linear equations in one variable

Variables represent unknown quantities — simplify expressions and solve equations step by step.

What this standard means

  • Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
  • Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
  • Apply solve linear equations in one variable with models and explanation
  • Writes and evaluates expressions with variables

_See printable PDF for diagram._

How to use the 20 practice sets

| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |

Pacing: 10–15 minutes per session.

How to practice

1. Identify like terms before combining 2. Do the same operation to both sides of an equation 3. Check solutions by substitution

_See printable PDF for diagram._

Common mistakes

  • Sign errors when distributing
  • Combining unlike terms
  • Skipping inverse operations in the wrong order

Review and practice tests

1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for 8.EE.C.7.

  • [ ] Writes and evaluates expressions with variables
  • [ ] Solves one- and two-step equations
  • [ ] Interprets solutions in context

Materials for this standard

  • Practice Problems — 20 printable sets (computational and word problems)
  • Word Problems — 20 word-only sets plus 10 difficulty-tier sets
  • Review — 10 difficulty levels
  • Practice Test — 10 difficulty levels
  • Answer key — for parents and tutors

For your personal study only. Copying, printing, screenshotting, or sharing this material is not permitted and may result in loss of access.

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