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Unit 1 — Polynomials & Geometry Basics

Lessons 1.1–1.7: polynomials, algebraic proof and literal equations, solving quadratics, geometry notation, the segment and angle addition postulates, and your first geometric proofs.

x²

Reasons bank

GivenDistributive propertyCLTAddition POESubtraction POEMultiplication POEDivision POEReflexiveSymmetricTransitiveSubstitutionDefinition of ≅Definition of midpointDefinition of bisectorSegment Addition PostulateAngle Addition PostulateDefinition of right angle

Before you answer

  • ✓Standard form first, then read off the degree and leading coefficient.
  • ✓"A subtracted from B" = B − A. Distribute the negative to every term.
  • ✓Quadratics: set = 0, check for a GCF, and remember ± when you take a square root.
  • ✓Notation: a length has no bar; a ray is named endpoint first; the vertex goes in the middle of an angle name.
  • ✓Found x? Plug it back in for the length or angle they actually asked for.