Algebra 2 Final Exam Review Packet

A 142-item multiple-choice review packet covers Algebra 2 topics from factoring and functions through complex numbers and polynomial degree.
Year levels
Years 10–11
File type
Microsoft Word

Updated Sep 27, 2026

Subject
Algebra, Maths
Topic
Algebra, Final
Resource types
Tests, Assessments
Australian Curriculum content descriptions
AC9M9A02 — simplify algebraic expressions AC9M9A03 — find the gradient of a line segment

From the author

About this resource

This Algebra 2 final review comes with an answer key!

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Students simplify, factor, and expand polynomial expressions of varying degree.

  • Students find the slope, intercepts, and equation of a line, including lines perpendicular to a given line.

  • Students solve quadratic equations and use the discriminant to determine the number and type of roots.

  • Students identify the degree, zeros, and vertex of a polynomial or parabola from its equation or graph.

  • Students simplify expressions involving complex numbers, including finding a complex conjugate.

Teaching tips

  • Have students start with the topics they understand least, per the packet's own introduction, rather than working straight through in order.

  • Remind students of the exam's note-sheet policy (one handwritten 8.5-by-11 page, no photocopies) stated in the introduction, since it shapes how they should prepare.

  • Use the closing 'Random practice' section as open-response follow-up after students have worked through the multiple-choice items on the same topics.

Skills covered

  • Polynomial simplification and factoring — students expand, combine, and factor polynomial expressions across dozens of items.

  • Quadratic equation solving — students solve quadratics and use the discriminant to determine the number and nature of roots.

  • Complex number operations — students simplify expressions involving complex numbers and identify complex conjugates.

  • Linear and quadratic graph analysis — students identify slope, intercepts, vertex, and x-intercepts from equations and graphs.

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Australian Curriculum (Version 9.0)

Australian Curriculum content descriptions

Australian Curriculum content descriptions

  • AC9M9A02 — simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions
  • AC9M9A03 — find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane

Core concepts

  • Polynomial factoring

  • Quadratic equations

  • Complex numbers

  • Linear functions

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