Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to find the values of the variables $m$ and $y$ in the given expressions that wo...
Undefined ExpressionsRational ExpressionsSolving Equations
2025/4/15
We are given the equation $\frac{m^2}{4} = 9$ and need to solve for $m$.
EquationsSolving EquationsSquare Roots
2025/4/15
The problem is to solve the proportion $\frac{1.2}{m} = \frac{0.04}{8}$ for the variable $m$.
ProportionsSolving EquationsLinear Equations
2025/4/15
Simplify the expression $x(x - 5) - 2(x - 5)$.
PolynomialsSimplificationExpanding Expressions
2025/4/15
The problem asks to identify the property demonstrated by the equation: $\pi * (-\frac{1}{\sqrt{5}} ...
Real NumbersMultiplicative InverseSimplificationExponents
2025/4/15
We are asked to simplify the complex fraction $\frac{\frac{7}{y^2 - 4}}{\frac{7}{y+2} + 1}$.
Complex FractionsFraction SimplificationAlgebraic ManipulationFactoringDifference of Squares
2025/4/15
The problem requires solving the rational equation $\frac{24}{5x+2} = \frac{4x+1}{5x^2+12x+4} + \fra...
Rational EquationsEquation SolvingFactorizationAlgebraic Manipulation
2025/4/15
Solve the equation $\frac{1}{4x} = \frac{2}{x^2} + \frac{3}{x-3}$.
EquationsRational EquationsQuadratic EquationsQuadratic FormulaSolving Equations
2025/4/15
The problem asks us to solve the rational equation $\frac{8}{z^2-9} = \frac{4}{z^2-3z}$ for $z$. We ...
Rational EquationsSolving EquationsExtraneous SolutionsAlgebraic Manipulation
2025/4/15
The problem asks us to write a quadratic equation in the standard form $ax^2 + bx + c = 0$, given th...
Quadratic EquationsRoots of EquationsFactoringPolynomials
2025/4/15