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algebra 1

Comprehensive AI-generated study curriculum with 1 detailed note module.

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Course Syllabus

  1. Foundations of Algebra: Real Numbers and Expressions
  2. Solving Linear Equations
  3. Solving Linear Inequalities
  4. Introduction to Functions and Graphing
  5. Systems of Linear Equations
  6. Exponents and Polynomials

Study Notes

Foundations of Algebra: Real Numbers and Expressions

  • Natural Numbers: Counting numbers (1, 2, 3, ...).
  • Whole Numbers: Natural numbers plus zero (0, 1, 2, 3, ...).
  • Integers: Whole numbers and their opposites (... -2, -1, 0, 1, 2 ...).
  • Rational Numbers: Numbers that can be written as a fraction where the numerator and denominator are integers (and the denominator isn't zero). Examples: 1/2, -3, 0.75 (which is 3/4).
  • Irrational Numbers: Numbers that cannot be written as a simple fraction. Their decimal representation goes on forever without repeating. Famous examples are pi ($\pi \approx 3.14159...$) and the square root of 2 ($\sqrt{2} \approx 1.41421...$).
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