Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
A woman bought 3 shirts and 4 skirts and paid $780.00$. A shirt costs $15.00$ more than a skirt. We ...
Linear EquationsWord ProblemsSystems of Equations
2025/5/1
We are given three natural numbers whose sum is 70. The first number is two-thirds of the second num...
Linear EquationsWord ProblemSystems of Equations
2025/5/1
The problem states that $m=4$ is the solution to a given radical equation. The problem asks to find ...
Radical EquationsRoots of EquationsReal Numbers
2025/5/1
We need to find the solution to the radical equation $\sqrt{2m+1} + m = 7$.
Radical EquationsQuadratic EquationsExtraneous SolutionsSolving Equations
2025/5/1
Solve the equation $\sqrt{x+8} + \sqrt{x+1} = 7$.
EquationsRadicalsSolving Equations
2025/5/1
The problem is to solve the equation $12x^3 = 3x^2$ for $x$.
Polynomial EquationsCubic EquationsFactoringSolving Equations
2025/5/1
The problem is to solve the quadratic equation $x^2 - 4x - 21 = 0$.
Quadratic EquationsFactoringRoots of Equations
2025/5/1
The problem asks us to simplify the following expression: $\frac{\frac{3m^2 + 2m - 1}{m^2 - 1}}{\fra...
Algebraic simplificationRational expressionsFactoring
2025/5/1
The problem is to simplify the expression $\frac{4a-12}{a+1} \div \frac{4}{a^2-1}$.
Algebraic SimplificationRational ExpressionsFactorizationPolynomials
2025/5/1
We are asked to simplify the expression $\frac{x}{x+1} - \frac{3x}{x^2-1}$.
Algebraic simplificationRational expressionsFactoringFractions
2025/5/1