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Algebra 2

Free Algebra 2 study guide: 9 units with summaries, key ideas, flashcards and 285 practice questions with step-by-step solutions.

Lines up with: SAT: Advanced Math; ACT Math; state end-of-course exams.

Units

  1. UNIT 01

    Functions & transformations

    Algebra 2 treats functions as objects you can shift, stretch, combine and invert.
  2. UNIT 02

    Quadratics & complex numbers

    This unit finishes quadratics and introduces complex numbers, which let every quadratic have solutions.
  3. UNIT 03

    Polynomial functions

    Polynomials of higher degree have predictable shapes. Their zeros, multiplicities and leading term tell you how the graph looks.
  4. UNIT 04

    Rational expressions & equations

    Rational expressions are fractions of polynomials. Work with them like numerical fractions, and watch for values that make a denominator zero.
  5. UNIT 05

    Radicals & rational exponents

    Radicals and rational exponents are two ways to write roots. Converting between them makes simplifying easier.
  6. UNIT 06

    Exponential & logarithmic functions

    Exponential functions model percent growth; logarithms answer "what exponent?" Together they solve problems like doubling time.
  7. UNIT 07

    Sequences & series

    Sequences are ordered lists; series are their sums. Arithmetic ones add a constant, geometric ones multiply by one.
  8. UNIT 08

    Trigonometric functions

    Algebra 2 extends trig from right triangles to any angle using the unit circle, and introduces sine and cosine as periodic functions.
  9. UNIT 09

    Probability & statistics

    This unit covers counting outcomes, computing probabilities and using the normal distribution.