Study Guide — 7.EE.A.2
Understand that rewriting an expression in different forms in a probl…
Variables represent unknown quantities — simplify expressions and solve equations step by step.
What this standard means
- Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that "increase by 5%" is the same as "multiply by 1.05."
- Apply understand that rewriting an expression in different forms in a probl… 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.A.2.
- [ ] 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