Currently Covered Mathematics
Expression Manipulation
- Simplifying Numerical Expressions
- Polynomials – Addition, Subtraction, Multiplication
- Fractions – Simplification, Addition, Subtraction, Multiplication, Division
- Compound Fractions
- Rationalizing Fractions
- Exponents – With Natural, Integer, and Fractional Exponents, with a Variable in the Exponent
- Radicals – With Natural Indices, with a Variable in the Index
- Simplifying Trigonometric, Exponential, and Logarithmic Expressions
- Expressions with Factorials and Binomial Coefficients
- Complex numbers - Simplification, Absolute value, Power
- Factoring Expressions – Factoring Out, Factoring Formulas, Quadratic Expressions, Tricks for More Complex Factorizations
Equations, Inequalities, and Systems
- Linear Equations and Inequalities
- Quadratic Equations and Inequalities
- Equations and Inequalities in Product and Quotient Forms
- Equations and Inequalities with Absolute Values
- Irrational Equations and Inequalities (with Radicals)
- Exponential Equations and Inequalities
- Logarithmic Equations and Inequalities
- Trigonometric Equations and Inequalities
- Reciprocal Equations
- Equations and Inequalities Using Substitution
- Equations and Inequalities with Factorials
- Systems of Equations – Addition Method, Comparison Method, Substitution Method
Equations and Inequalities with Parameters
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Supported Types:
- Linear Equations and Inequalities with Parameters
- Quadratic Equations and Inequalities with Parameters
- Irrational Equations and Inequalities with Parameters (with Radicals)
- Equations and Inequalities with Parameters and Absolute Values
- Equations and Inequalities with Parameters in Product and Quotient Forms
Word Problems
- We solve only word problems leading to equations, inequalities, and systems (i.e., we do not support construction problems, visual problems, proofs, etc.)
- Focused on solving word problems at elementary and high school levels with average difficulty
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Supported Types of Word Problems:
- Word problems on direct and inverse proportionality (and their combinations)
- Word problems on motion
- Word problems on collaborative work
- Word problems on mixtures and solutions
- Word problems on sequences (arithmetic, geometric)
- Word problems on sets (Venn diagrams, Cartesian product)
- Word problems on combinatorics
- Word problems involving geometric calculations (perimeters, areas, volumes, etc.)
- Word problems on extrema using derivatives
- Specific problems (age, LCM, GCD, percentages, scale, clock hands, etc.)
- General problems
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Supported Types of Mathematical Operations:
- Word Problems Leading to a Linear Equation
- Word Problems Leading to a Linear Inequality
- Word Problems Leading to a Quadratic Equation
- Word Problems Leading to a System of Equations
- Word Problems Leading to an Exponential Equation/Inequality
- Word Problems Leading to a Trigonometric Equation
- And more
- Not primarily intended for physics problems, though we can handle simple ones as well.
- More about word problems can be found on this page
