Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
Solve the equation $5x + 4 = -2x - 24$ for $x$.
Linear EquationsSolving Equations
2025/4/28
The problem is to solve the quadratic equation $x^2 + 8x + 4 = 0$.
Quadratic EquationsQuadratic FormulaRoots of EquationsSimplification of Radicals
2025/4/28
The problem consists of two parts. Part 1: Solve the following system of linear equations: $x - y = ...
Linear EquationsSystem of EquationsWord ProblemsSubstitution Method
2025/4/28
The problem provides the graph of a function of the form $y = b - ax^2$. It asks to find the maximum...
Quadratic FunctionsGraphsVertexInequalitiesAxis of SymmetryTurning PointRoots
2025/4/28
The problem is based on a right-angled triangle. The lengths of the two sides containing the right a...
Quadratic EquationsGeometryTriangle AreaFactorization
2025/4/28
The problem describes a rectangle where the length is $x$ cm. The width is $x/2 + 3$ cm. The area of...
Quadratic EquationsWord ProblemAreaRectangleFactoring
2025/4/28
The problem provides the equation $y = x(x+3)(x-2)^2$ and its graph. The task is likely to analyze ...
Polynomial FunctionsRootsMultiplicity of RootsGraphing
2025/4/28
The problem appears to be about solving for $y$ in terms of $x$ and constants $a$ and $b$. The given...
EquationsVariablesQuadraticFunctions
2025/4/28
The problem asks to simplify the expression $y = \frac{x(2x-3)}{x}$.
SimplificationAlgebraic ExpressionsVariables
2025/4/28
The problem presents a linear equation: $y = -3x + 6$. We are likely being asked to find some prope...
Linear EquationsSlope-intercept formX-interceptY-interceptCoordinate Geometry
2025/4/28