Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks to solve the system of equations $y = -x + 3$ and $x + y = \frac{5}{2}$. We need to...
System of EquationsLinear EquationsSolution ExistenceParallel Lines
2025/3/17
Simplify the expression $\frac{(x^2+5x+4)(x-1)}{(x^2-1)}$.
Algebraic SimplificationPolynomialsFactorizationRational Expressions
2025/3/17
Simplify the expression $\frac{x^2 - 9}{x^2 + 5x + 6}$.
Algebraic SimplificationRational ExpressionsFactorizationDifference of SquaresQuadratic Expressions
2025/3/17
Solve the inequality $-2 + 3|5 - x| \le 4$.
InequalitiesAbsolute ValueCompound Inequalities
2025/3/17
The problem asks to solve the absolute value inequality $|2x+5| < 9$.
Absolute ValueInequalitiesLinear Inequalities
2025/3/17
We are asked to solve the inequality $|4x - 7| < -3$.
InequalitiesAbsolute Value
2025/3/17
The problem is to solve the inequality $3 - 2|3x - 1| \ge -7$.
InequalitiesAbsolute ValueCompound Inequalities
2025/3/17
We need to solve the inequality $3 - 2|x - 5| \le -15$.
InequalitiesAbsolute ValueSolving Inequalities
2025/3/17
The problem is to simplify the expression $\frac{1}{\sqrt{3}}$. We need to rationalize the denominat...
RationalizationRadicalsSimplification
2025/3/17
Solve the inequality $9 - 2|4x + 1| > 3$.
InequalitiesAbsolute ValueLinear Inequalities
2025/3/17