Grade 6 Inequalities
Grade 6 inequalities practice. Lessons, examples, and exercises aligned to grade 6 standards.
Example Questions
Q1. Solve: x + 3 > 7
Answer: x > 4
Q2. Is x = 5 a solution to 2x ≤ 12?
Answer: Yes
Skills Assessed
- Inequality symbols: < (less than), > (greater than), ≤, ≥, ≠
- Solution sets represent ranges, not single values
- Solving inequalities follows the same rules as equations
- CRITICAL: Flip the inequality sign when multiplying/dividing by a negative
- Graphing on a number line: open circle (< >) vs closed circle (≤ ≥)
Common Mistakes
- Forgetting to flip the sign when multiplying/dividing by a negative
- Using the wrong circle (open vs closed) on the number line
- Confusing < and > direction (alligator eats the bigger number)
- Writing the inequality backwards when translating from words
- Not checking solutions in the original inequality
Difficulty Balance
Recommended structure for classroom reliability: 5 easy, 3 medium, and 2 hard questions, adapted to grade 6 expectations.
Answer Key Explanation
Every downloadable test includes a separate answer key page with clear worked steps, so teachers can grade quickly and give precise feedback.
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