Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
Find the real values of the parameter $k$ such that the solutions of the system of equations: $x - y...
Systems of EquationsInequalitiesParameterizationQuadratic Inequalities
2025/5/26
The problem is to solve the system of inequalities: $y - x - 1 < 0$ $3x + y - 6 > 0$
InequalitiesLinear InequalitiesSystems of InequalitiesLinear EquationsGraphing
2025/5/26
We are asked to solve the inequality $|\frac{3x}{2x+3}| < 2$.
InequalitiesAbsolute ValueRational Functions
2025/5/26
The problem is to solve the inequality $\frac{3x}{2x+3} < 2$.
InequalitiesRational InequalitiesInterval NotationCritical Points
2025/5/26
We are given a system of two linear equations: $(a+2)x + (a-2)y = 16$ $2x + 4y = a-2$ We are asked t...
Linear EquationsSystems of EquationsDeterminantsSolution Sets
2025/5/25
The problem asks to find the real parameter $k$ such that the following system of linear equations h...
Linear EquationsSystems of EquationsDeterminants
2025/5/25
Solve the inequality $|\frac{2x-5}{3x+2}| \le 3$.
InequalitiesAbsolute ValueRational Expressions
2025/5/25
The problem presents the function $y = |x+2| - |2x-4|$. We want to understand this function, perhap...
Absolute ValuePiecewise FunctionsFunction AnalysisInequalities
2025/5/25
We are asked to simplify the function $y = |x-2| + 2x + 1$.
Absolute ValuePiecewise FunctionSimplification
2025/5/25
Find the real value of the parameter $k$ such that the following system of linear equations has a un...
Linear EquationsSystems of EquationsDeterminantsUnique Solution
2025/5/25