Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to solve the equation for $x$: $\frac{4a^2}{3x+3} + \frac{3a+3}{x^2-1} = \frac{2...
EquationsRational EquationsInequalitiesAlgebraic ManipulationSolving Equations
2025/5/26
We are asked to solve the following system of linear equations using Cramer's rule: $(1+2k)x + 5y = ...
Linear EquationsCramer's RuleDeterminantsSystem of Equations
2025/5/26
We need to solve the inequality $\frac{x-1}{x-2} \le \frac{3}{2}$.
InequalitiesRational ExpressionsInterval Notation
2025/5/26
The problem asks to solve the equation $\frac{6}{x-6} - \frac{2(x+14)}{x^2-4x-12} = \frac{4x+11}{x^2...
Rational EquationsEquation SolvingFactoringLCDAlgebraic Manipulation
2025/5/26
The problem asks to solve the equation $\frac{9b^2 - 8}{2x + 4} + \frac{4 - 3b^2}{2 - x} = \frac{4b ...
EquationsAlgebraic ManipulationInequalitiesRational Expressions
2025/5/26
The problem is to solve the inequality $\frac{(x+2)|x-3|}{x^2+6} > -1$.
InequalitiesAbsolute ValueQuadratic EquationsCase Analysis
2025/5/26
We need to solve the inequality: $\frac{2}{|x|-1} + \frac{3}{|x|+2} \ge 0$
InequalitiesAbsolute ValueRational ExpressionsCritical Points
2025/5/26
We are asked to solve the following inequality: $\frac{4}{|x-1|+1} - \frac{5}{|x-1|-2} \geq 0$
InequalitiesAbsolute ValueAlgebraic Manipulation
2025/5/26
We are asked to solve the inequality $\frac{2}{|x-3|-1} + \frac{3}{|x-3|+2} \le 0$.
InequalitiesAbsolute ValueRational Expressions
2025/5/26
We are asked to solve the inequality $|\frac{3x}{2x+3}| < 2$.
InequalitiesAbsolute ValueRational FunctionsInterval Notation
2025/5/26