Algebra 1 Revision Sheet

1. 📌 Essentials

• Algebra involves manipulating symbols to solve equations and analyze functions.
• Core operations: simplifying expressions, solving linear/quadratic equations.
• Functions relate inputs to unique outputs key types include linear, quadratic, exponential.
• Graphs visually functions; features include slope, intercepts, vertex.
• Factoring simplifies polynomials; techniques include GCF, difference of squares, trinomial factorization.
• Exponents follow laws: product, quotient, power rules.
• Radicals involve roots; simplify and rationalize denominators.
• Rational expressions require domain restrictions to avoid division by zero.
• Systems of equations find common solutions via substitution, elimination, or graphing.
• Mastery of algebraic properties underpins problem-solving and advanced topics.

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