| Algebra | ||
| Arithmetic Operations | ||
| Factoring Out Constant |  | |
| Multiplication/Division of Fraction by a Constant |  | |
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| Addition of Fractions |  | |
| Subtraction of Fractions |  | |
| Miscelaneous Relationships |  | |
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| Powers and Exponents | ||
| Multiplication |  | |
| Division |  | |
| Power to a Power |  | |
| Zero Power |  a ≠ 0 | |
| Power of a Product |  | |
| Power of a Quotient |  | |
| Negative Exponents |  | |
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| Fractional Exponent |  | |
| Radicals | ||
| nth Root |  | |
| nth Root of a Product |  | |
| nth Root of a Quotient |  | |
| Root of a Root |  | |
| Root of a Power |  (if n is odd) | |
 (if n is even) | ||
| Properties of Inequalities | ||
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| Properties of Absolute Value | ||
| Definition |  | |
| NonNegativity |  | |
| Reflective Symmetry of Graph |  | |
| Multiplicativeness |  | |
| Preservation of Division |  b ≠ 0 | |
| Triangle Inequality |  | |
| Reverse Triangle Inequality |  | |
| Distance Formula | ||
| Distance Between Points (x1,y1) & (x2,y2) |  | |
| Complex Numbers | ||
| Definition |  | |
| Square and Square Root |  | |
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| Addition of Complex Numbers |  | |
| Subtraction of Complex Numbers |  | |
| Multiplication of Complex Numbers |  | |
| Multiplication by Complex Conjugate |  | |
| Complex Modulus |  | |
| Complex Conjugate |  | |
| Properties of Logarithms | ||
| Definition |  | |
| Natural Log |  | |
| Common Log |  | |
| Log of b |  | |
| Log of 1 |  | |
| Log bx |  | |
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| Log of Exponent |  | |
| Log of Product |  | |
| Log of Quotient |  | |
| Domain of Log Function |  | |
| Polynomials | ||
| Difference of Two Squares |  | |
| Perfect Square |  | |
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| Two Binomials |  | |
| Perfect Cube |  | |
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| Sum of 2 Cubes |  | |
| Difference of 2 Cubes |  | |
| Difference of 2 Even Powers |  | |
| Quadratic Equation |  a ≠ 0 | |
| Quadratic Formula |  | |
| Number & Types of Roots of Quadratic Formula |    | |
| Square Root Property |  | |
| Cubic Equation |  | |
| Cubic Formula |  | |
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| Roots |  | |
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| Discriminant |  | |
| D > 0 |  | |
| D = 0 |  | |
| D < 0 |  | |
| Linear Functions | ||
| Constant Function |  | |
| Slope-Intercept Form |  | |
| Slope |  | |
| Point-Slope Form |  | |
| Parabola/Quadratic Functions | ||
| Parabola with Vertex at (h,k) Opens Up if a > 0, Down if a < 0 |  | |
| Parabola Opens Up if a > 0, Down if a < 0 |  | |
 Vertex | ||
| Parabola Opens Right if a > 0, Left if a < 0 |  | |
 Vertex | ||
| Circle | ||
| Circle w/radius = r and Vertex at (h,k) |  | |
| Ellipse | ||
| Ellipse w/Center at (h,k) Vertices 'a' units r/l & 'b' units u/d from center |  | |
| Hyperbola | ||
| Hyperbola w/Center at (h,k) |  | |
| Opens Left/Right, Vertices at 'a' units L/R of center. Asymptotes with Slope ± b/a | ||
| Hyperbola w/Center at (h,k) |  | |
| Opens Up/Down, Vertices at 'b' units U/D of center. Asymptotes with Slope ± b/a | ||
| Sequences and Series | ||
| nth Term of Arithmatic Sequence |  | |
| Sum of First n Terms of Arithmatic Sequence |  given a1, an and n | |
 given a1, d and n | ||
| nth Term of Geometric Sequence |  | |
| Sum of First n Terms of Geometric Sequence |  | |
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| First n Terms of Fibonacci Sequence | ||
| Geometry | |
| Rectangles | |
| Area |  |
| Perimeter |  |
| Triangles | |
| Area |  |
| Perimeter |  |
| Circles | |
| Area |  |
| Circumference |  |
| Rectangular Solids | |
| Volume |  |
| Surface Area |  |
| Cylinders | |
| Volume |  |
| Surface Area |  |
| Spheres | |
| Volume |  |
| Surface Area |  |
| Polygons | |
| Area |  |
| Perimeter |  |
| Cones | |
| Volume |  |
| Surface Area |  |
| Trigonometry | |
| Pythagorean Theorem |  |
| Sine |  |
| Cosine |  |
| Tangent |  |
| Cosecant |  |
| Secant |  |
| Cotangent |  |
| Law of Sines |  |
| Law of Cosines |  |
| Standard Angles | |
| 0 ° |  |
| 30 ° |  |
| 45 ° |  |
| 60 ° |  |
| 90 ° |  |
| Calculus | |
| Derivatives | |
| Chain Rule |  |
| xn |  |
| ex |  |
| Natural Log |  |
| Sine |  |
| Cosine |  |
| Integrals | |
| xn |  |
| ex |  |
| 1/x |  |
| Cosine |  |
| Sine |  |
| Statistics | |
| Central Tendancy | |
| Sample Mean |  |
| Population Mean |  |
| Geometric Mean |  |
| Sample Standard Deviation |  |
| Population Standard Deviation |  |
| Sample Variance |  |
| Population Variance |  |
| Sample Mean for a Frequency Distribution |  |
| Sample Standard Deviation for a Frequency Distribution |  |
| Sample Coefficient of Variation |  |
| Median |  Odd number of values |
 Even number of values | |
| Mode |  |
| Range | Highest - Lowest value |
| Normal Distribution |  |
| Standard z Value |  |
| Probability | |
| Probability of "A" |  |
| Probability of Compliment of "A" |  |
| Multiplication rule for Independant Events |  |
| General Multiplication Rules |  |
| Addition Rule for Mutually Exclusive Events |  |
| General Addition Rule |  |
| Permutations |  |
| Combinations |  |
| Factorial |  |
| Mean of Discrete Probability Distribution |  |
| Standard Deviation of Discrete Probability Distribution |  |
| Binomial Distribution | |
| Binomial Probability Distribution |  |
| Mean for a binomial distribution |  |
| Standard deviation for a binomial distribution |  |
| Confidence Intervals | |
| Confidence Interval for a mean |  (Large Samples) |
 (Small Samples) | |
| Confidence interval for a proportion (where np > 5 and nq > 5) |  |
| Sample Size | |
| Sample Size for Estimating Means |  |
| Sample Size for Estimating Proportions |  with preliminary estimate for p |
 without preliminary estimate for p | |
| Regression and Correlation | |
| Sum of the Squares |  |
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| Least Squares Line |  |
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| Standard Error of Estimate |  |
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| Pearson Product-Moment Correlation Coefficient |  |
| Coefficient of Determination |  |
| Confidence Interval for y |  |
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| Spearman Rank Correlation Coefficient |  |