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Elementary Algebra Review Sheet
and Common Formulas
| Elementary Algebra Review Sheet | |
| Basic Rules of Algebra | Properties of Negation |
| Commutative Property of Addition | Multiplication by -1 |
| a + b = b + a | 
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| Commutative Property of Multiplication | Placement of Minus Signs |
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| Associative property of Addition | Product of Two Opposites |
| (a + b) + c = a + (b + c) |  |
| Associative Property of Multiplication | Operations with Fractions |
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| Left
Distributive Property
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| Right
Distributive Property
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| Additive
Identity Property a + 0 = a |
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| Multiplicative Identity Property | Properties of Exponents |
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a0 = 1 |
| Additive Inverse Property |  |
| a + (-a) = 0 Multiplicative Inverse Property |
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| Properties of Equality |  |
| Addition Property of Equality |  |
| If a = b, then a + c = b + c. |  |
| Multiplication Property of Equality | Special Products |
| If a = b, then ac = bc. | Square of a Binomial |
| Cancellation Property of Addition |  |
| If a + c = b + c, then a = b. |  |
| Cancellation Property of Multiplication | Difference of Two Squares |
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| Zero-Factor Property | Difference of Two Cubes |
| If ab = 0, then a = 0 or b = 0. |  |
| Sum of Two Cubes | |
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| The Quadratic Formula | |
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| Common Formulas | |
| Temperature | Distance |
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| F = degrees Fahrenheit | d = distance traveled |
| C = degrees Celsius | t = time |
| r = rate | |
| Simple Interest | Compound Interest |
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| I = interest | A = balance |
| P = principal | P = principal |
| r = annual interest rate | r = annual interest rate |
| t = time in years | n = compoundings per year |
| t = time in years |
