Study Guide — 6.EE.B.8
Write an inequality of the form x > c or x < c to represent a constra…
Variables represent unknown quantities — simplify expressions and solve equations step by step.
What this standard means
- Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
- Apply write an inequality of the form x > c or x < c to represent a constra… 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 6.EE.B.8.
- [ ] 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