Solving equations

0 of 20 topics done

Polynomial equations and factorisation

1Factorise, solve and reconstruct a rational quadraticOpen, set of 8Lesson Practice

2Solve a quadratic exactly with the quadratic formulaOpen, set of 8Lesson Practice

3Solve an equation that reduces to quadratic formOpen, set of 8Lesson Practice

4Determine parameter values from a discriminant conditionOpen, set of 8Lesson Practice

5Divide polynomials and state quotient and remainderOpen, set of 8Lesson Practice

6Apply the remainder and factor theoremsOpen, set of 8Lesson Practice

7Move between roots, factors, polynomial rules and equationsOpen, set of 8Lesson Practice

Polynomial identities

8Determine parameters in a polynomial identityOpen, set of 8Lesson Practice

Circular functions and exact values

9Use unit-circle coordinates to evaluate circular functionsOpen, set of 8Lesson Practice

10Evaluate exact circular-function values by symmetry and periodicityOpen, set of 8Lesson Practice

11Use exact trigonometric identities and quadrant informationOpen, set of 8Lesson Practice

Solving circular equations

12Solve circular equations over finite domainsOpen, set of 8Lesson Practice

13General solutions of circular equations and interval extractionOpen, set of 8Lesson Practice

14Locate and bisect a circular-equation rootOpen, set of 8Lesson Practice

Literal and simultaneous equations

15Rearrange literal equations and recognise equivalent line formsOpen, set of 8Lesson Practice

16Solve a pair of simultaneous linear equationsOpen, set of 8Lesson Practice

17Solve a linear system with three or four unknownsOpen, set of 8Lesson Practice

18Verify coordinate incidence and determine a parameterOpen, set of 8Lesson Practice

19Solve literal equations and simultaneous literal equationsOpen, set of 8Lesson Practice

Parameterised linear systems

20Classify and parameterise linear systemsOpen, set of 8Lesson Practice