Demystifying - Solving a linear inequality

Drills

Solving with the balance method while keeping the inequality sign, since the answer is a range, not a value.

Author note — to cover

Solve linear inequalities in one variable with positive coefficients, e.g. 3x + 2 < 11 and 5x − 1 ≥ 2x + 8, keeping the inequality sign through each balance step; present answers as ranges like x < 3. Negative-coefficient flips, number lines and integer lists are the sibling pages. Both tiers. (A22)

  • Fluency — direct questions on solving a linear inequality, limited to this lesson's stated scope (4 questions).
  • Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
  • Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on Solving a linear inequality.