Chapter 4

Equations and inequations

Solve linear and quadratic inequations, use the discriminant to answer questions about roots and tangents, and work with quadratic identities.

Sections

  1. 4A Linear equations and inequations Solve linear equations and inequations, including fractions, and know exactly when to reverse the inequality sign.
  2. 4B Quadratic equations and inequations Solve quadratic inequations by sketching the parabola or using a table of test points, and write the answer as inequalities or intervals.
  3. 4C Using the discriminant Apply the discriminant to find unknown coefficients, decide whether roots are real, equal or rational, and find when a line is tangent to a parabola.
  4. 4D Quadratic identities The difference between an identity and an equation, equating coefficients, and finding the quadratic that passes through three given points.

Formula sheet