Inverse property of addition Identity property of addition Associative property of addition Commutative property of addition Inverse property of multiplication Identity property of multiplication Associative property of multiplication Commutative property of multiplication Distributive property Closure property Transitive property Symmetric property Reflexive property Substitution property Additive inverse property Multiplicative inverse property Zero property of multiplication Multiplication property of zero Addition property of equality Subtraction property of equality Multiplication property of equality Division property of equality Addition property of inequality Subtraction property of inequality Multiplication property of inequality Division property of inequality Absolute value Absolute value inequality Interval notation Set notation Union of sets Intersection of sets Complement of a set Empty set Universal set Subset Proper subset Power set Cartesian product Ordered pair Coordinate plane Graphing linear equations Slope-intercept form Point-slope form Standard form of a linear equation Parallel lines Perpendicular lines System of linear equations Solution of a system of linear equations Consistent system Inconsistent system Independent system Dependent system Matrix Row operations Row echelon form Reduced row echelon form Determinant Cramer’s rule Inverse of a matrix Matrix multiplication Matrix addition Matrix subtraction Scalar multiplication Identity matrix Transpose of a matrix Symmetric matrix Skew-symmetric matrix Diagonal matrix Eigenvalues and eigenvectors Quadratic equation Quadratic formula Discriminant Vertex form of a quadratic equation Standard form of a quadratic equation Completing the square Factoring quadratic equations Quadratic inequalities Quadratic functions Vertex of a parabola Axis of symmetry Directrix Focus Ellipse Circle Hyperbola Parabola Conic sections Exponential functions Logarithmic functions Properties of logarithms Exponential growth Exponential decay Compound interest Half-life Natural logarithm Exponential equations Logarithmic equations Solving exponential and logarithmic equations Arithmetic sequences Geometric sequences Arithmetic series Geometric series Sum of an arithmetic series Sum of a geometric series Binomial theorem Pascal’s triangle Probability Permutations Combinations Factorial Probability distributions Expected value Standard deviation Normal distribution Z-score Sampling methods Hypothesis testing Confidence intervals Chi-square test T-test Regression analysis Correlation coefficient Scatter plots Frequency distribution Measures of central tendency Measures of dispersion Box-and-whisker plots Histograms Bar graphs Line graphs Pie charts Probability tree diagrams Venn diagrams Tree diagrams Sets and subsets Union and intersection of sets Complement of a set De Morgan’s laws Conditional probability Independent events Mutually exclusive events Random variables Discrete random variables Continuous random variables Probability density functions Cumulative distribution functions Expected value of a random variable Variance of a random variable Standard deviation of a random variable Law of large numbers Central limit theorem Sampling distribution Confidence intervals Hypothesis testing Type I and Type II errors Power of a test Critical values One-sample t-test Two-sample t-test Paired t-test Analysis of variance (ANOVA) Chi-square test Linear regression Multiple regression Logistic regression Time series analysis Forecasting Decision trees Cluster analysis Factor analysis Principal component analysis Survival analysis Nonparametric statistics Bayesian statistics Statistical software