Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given a linear equation and asked to solve for $x$. The equation is: $-4 - 3(5x - 6) = -4(-x ...
Linear EquationsEquation SolvingSimplification
2025/4/28
We are given the equation $2(3x - 4) = -5(2x - 7)$ and asked to solve for $x$.
Linear EquationsSolving EquationsAlgebraic Manipulation
2025/4/28
The problem asks us to simplify the logarithmic expression: $log(\frac{15}{8}) + 4log2 - log3$.
LogarithmsLogarithmic PropertiesSimplification
2025/4/28
The problem is to solve the linear equation $-3x + 2 = -10x - 5$ for $x$.
Linear EquationsSolving EquationsAlgebraic Manipulation
2025/4/28
The problem is to evaluate the expression $\log_5 5 + 1$.
LogarithmsSimplification
2025/4/28
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