Demystifying - A linear and a quadratic equation together

Drills

Substituting the linear equation into the quadratic, pairing each x with its y.

Author note — to cover (Higher)

Higher page, per the A19 braces on linear/quadratic pairs. Substitute the linear equation into forms like y = x² + 3x or x² + y² = r², solve the quadratic, and pair each x with its own y, presenting answers as coordinate pairs. The circle-geometry reading of this lives on line-meets-circle. (A19)

  • Fluency — direct questions on a linear and a quadratic equation together, 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 A linear and a quadratic equation together.