Math Path

Pre-test reading · 4 exams · highlight + synced notes

Study guide

Read the full story of each Praxis domain — format, blueprint, careers you can grow into, and day-in-the-life work. Then study the passages, highlight what matters, and add side notes before you take a practice test.

Domain · ALG

Number & Quantity and Algebra

Make structure visible — then compute.

Who should take it: Every Praxis 5165 candidate. This is ~30% of the exam and the language of secondary algebra courses you will teach.

Exam format & facts

  • Roughly 20 of ~66 items (~30% of the test).
  • Includes number systems, algebra, and modeling.
  • Expect teaching-task wrappers on some items.
  • Graphing calculator available on-screen.

What the blueprint is really testing

ETS wants evidence you can operate in the real/complex numbers, rewrite expressions strategically, and solve equations/inequalities/systems while monitoring domain.

How the exam feels

Fast items if fluent; brutal if you rush into algebra without checking equivalence and restrictions.

Score strategy

  1. Can you explain why extraneous roots appear after squaring?
  2. Can you reduce i^n quickly?
  3. Can you convert between vertex and standard form?

Why this domain matters in the classroom

Praxis domains map directly to secondary courses you will teach.

Algebra I / II teacher

You live in linear/quadratic structure, functions precursors, and student error patterns daily.

Intervention / support math

Number sense and equation solving misconceptions dominate RTI conversations.

Day-in-the-life tasks

  • Warm-up: rewrite expressions two ways.
  • Main: solve a system or quadratic with justification.
  • Exit: diagnose a sample student solution.

Before you take a practice test

  • Can you explain why extraneous roots appear after squaring?
  • Can you reduce i^n quickly?
  • Can you convert between vertex and standard form?