HUNTERTUTORING

Study Guide — 7.EE.B.3

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Solve multi-step real-life and mathematical problems posed with posit…

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

What this standard means

  • Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
  • Apply solve multi-step real-life and mathematical problems posed with posit… 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 7.EE.B.3.

  • [ ] 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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