Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are asked to find the value of $m$ in the equation $5 = \frac{m+4}{3}$.
Solving EquationsLinear Equations
2025/3/9
The problem asks to find the perimeter of a decagon, given the expressions for two sides: $x^2 + 2x ...
Polynomial EquationsPerimeterDecagonSubstitution
2025/3/9
The problem asks us to find the solutions for the following equations: a) $(0-3)x^2 = 0$ b) $(3-\sqr...
Quadratic EquationsSolving EquationsReal Numbers
2025/3/8
The problem asks us to identify which of the given equations are quadratic equations in $x$. A quadr...
Quadratic Equations
2025/3/8
The problem asks us to find the solutions of three quadratic equations using Vieta's formulas. The q...
Quadratic EquationsVieta's FormulasRoots of PolynomialsSolving Equations
2025/3/8
The problem presents a worksheet containing questions related to quadratic equations. It involves id...
Quadratic EquationsRoots of EquationDiscriminantVieta's FormulasEquation Transformation
2025/3/8
The problem is to simplify the expression $\frac{[(2x^2y^3)^2]^{-2}}{3x^{-2}y}$ and express the answ...
Simplifying ExpressionsExponentsVariables
2025/3/8
We are asked to solve the equation $\ln(x+4) + \ln(x) = \ln(x+18)$ for $x$.
LogarithmsEquationsQuadratic EquationsSolving Equations
2025/3/8
The problem asks us to solve the logarithmic equation $8 + \log(16x) = 36 - 3\log(x)$ for $x$.
Logarithmic EquationsSolving EquationsLogarithm Properties
2025/3/8
We need to solve the equation $\ln(x) + \ln(6) = 3$ for $x$, and give the answer correct to 3 decima...
LogarithmsExponential FunctionsSolving Equations
2025/3/8