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Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem is to simplify the expression $\frac{4}{5 - \sqrt{3}}$.

SimplificationRationalizationRadicalsAlgebraic Manipulation
2025/3/17

The problem is to simplify the expression $\frac{\sqrt{3}}{3\sqrt{5}}$.

SimplificationRadicalsRationalizationExponents
2025/3/17

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
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