Level 6 Algebra Solving

Also see Level 5 Algebra Solving.

Level 6 Questions & Answers

Level 6 Practice Questions.pdf
Level 6 Practice Questions - solutions.pdf

• Solve problems that can be modelled by linear equations and inequations, quadratic and simple exponential equations and interpret solutions in context.

  • Algebra in Action
    • Level 1 - Find two values given their ratio and either their sum or difference
    • Level 2 - Find one of three numbers given the connection between them
    • Level 3 - Find numbers whose sum and difference are given
    • Level 4 - Find numbers when given information about the sum or difference of their multiples
    • Level 5 - More questions similar to those in previous levels

• Use factorising for solving quadratic equations.

  • Transum
    • Level 5 - Writing an expression as the product of two binomials. Example: 5a + 5b + ac + bc
    • Level 6 - Factorising an expression which is the difference between two squares. Example: c² - 81
    • Level 7 - Factorising a quadratic where the squared term coefficient is 1. Example: c² - 13c + 36
    • Level 8 - Factorising a quadratic where the squared term coefficient is not 1. Example: 4a² + 5a - 6
    • Level 9 - Mixed factorisation questions. Example: b² + 6b + 9
  • Transum Factoring

• Use number knowledge (not logarithms) for solving exponential equations.

• Solve problems that can be modelled by simultaneous equations where the equations are linear–linear, and interprets solutions in context.

  • Transum Simultaneous
    • Level 1 - Equations that can be added or subtracted to eliminate one variable.
    • Level 2 - Equations that can be added or subtracted to eliminate one variable after one of the equations has been multiplied by a constant.
    • Level 3 - Equations that can be added or subtracted to eliminate one variable after both of the equations have been multiplied by constants.
    • Level 4 - Equations with two variables that are not written in the standard way.
    • Level 5 - Real life problems that can be solved by writing them as simultaneous equations.
    • Level 6 - Equations which include fractions in some way.
    • Level 7 - Linear, quadratic and other pairs of simultaneous equations.

Other Resources

Also see Level 5 Algebra Solving.

Level 4 Document:

2019 Algebra Solving Level 4

Old NCEA Papers: Level 6

90147-exm-02.pdf
90147-rep-02.pdf
90147-exm-03.pdf
90147-rep-03.pdf
90147-exm-05.pdf
90147-ass-05.pdf
90147-exm-08.pdf
90147-ass-08.pdf