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 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

^Preview

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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