All Algebra Formulas on ONE Sheet

Algebra Formulas

Meticulously compiled by a group of experienced math instructors, the Algebra Formula Sheet contains a complete list of the most common algebra formulas, equation solving techniques, and practical algebraic tips. No matter if you are taking an algebra course or studying for a standardized test, the Algebra Formula Sheet can help you systematize your understanding of algebra and equip you with the necessary algebra formulas to tackle challenging algebra problems.

Algebra Formula Sheet Features

  • Logically organizes algebra formulas from a bird's-eye view
  • Written in straight-to-the-point, east-to-understand language within only 4 pages
  • Contains examples illustrating how formulas are applied
  • Includes numerous shortcut formulas

Algebra Formulas Covered

Pre-Algebra

  • Even & Odd
  • Divisibility
  • Prime Numbers
  • Order of Operations
  • Fractions
    • Simplifying Fractions
    • Adding and Subtracting Fractions
    • Multiplying Fractions
    • Dividing Fractions
    • Multiplying/Dividing Fractions with Decimals
  • Square Roots
    • Simplifying Square Roots
    • Multiplying Square Roots
    • Dividing Square Roots
    • Rationalizing the Denominator
  • Sets
    • Union
    • Intersection
  • Sequences
    • Arithmetic Sequences
    • Geometric Sequences
  • Statistics
    • Arithmetic Mean/Average
    • Median
    • Mode
    • Range
    • Standard Deviation

Intermediate Algebra

  • Exponents
    • Rules & Examples
  • Logarithms
    • Rules & Examples
  • Common Products
    • FOIL Method
    • Perfect Squares
    • Difference of Squares
  • Solving Equations
    • Linear Equations
    • Cross Multiply Technique
    • Self Check
    • Equations with Radicals
    • Solving One Variable in terms of Others
  • Unsolvable Variables
  • Absolute Values
  • Inequalities
  • Simultaneous Linear Equations
    • Solving by Substitution
    • Solving by Adding or Subtracting Equations
    • Cramer's Rule
  • Quadratic Equations
    • Factoring Quadratics
    • Solving by Factoring
    • Quadratic Formula
  • Functions
    • Domain
    • Range
    • Even and Odd Functions
  • Matrices
    • Dimensions
    • Scalar Multiplication
    • Matrix Addition/Subtraction
    • Matrix Multiplication
  • Complex Numbers
    • Complex Conjugates

Coordinates

  • Distance and Midpoint Formulas
  • Line Equation
    • Rough Directions of the Slopes
    • Finding the Equation of a Line
    • Intercepts
    • Perpendicular Lines
    • Parallel Lines
  • Reflections
    • Point Reflections
    • Line Reflections
  • Quadratics
    • Graphing Quadratics
  • Circle Equation

Word Problems

  • Systematic Approach
  • Percents, Ratios, and Proportions
    • Translation
    • Proportion
  • Rate Problems
    • Equations
    • Two Objects Traveling in the Same Direction
    • Two Objects Traveling in Opposite Directions
  • Counting
    • Fundamental Counting Principle
    • Permutation with Distinct Elements
    • Permutation with Repeated Elements
    • Combinations
  • Probability
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