Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given three problems. (a) Simplify the expression $(4x+2)(x-2)-3x^2$. (b) Find the value of $...
Algebraic ExpressionsLinear EquationsGeometryCircle AnglesCost Function
2025/5/30
The problem has three parts: (a) Factorize the expression $5ay - by + 15a - 3b$. (b) Solve the equat...
FactorizationLinear EquationsRatio and Proportion
2025/5/30
The problem is to solve the quadratic equation $10x^2 = -19x + 15$ for $x$.
Quadratic EquationsQuadratic FormulaAlgebraic ManipulationSolving Equations
2025/5/29
The problem asks to find the solution set for two quadratic equations by factoring. The equations ar...
Quadratic EquationsFactoringSolution Sets
2025/5/29
The problem asks us to find the solution set for the given quadratic equations by factoring.
Quadratic EquationsFactoringQuadratic FormulaSolving Equations
2025/5/29
The problem asks us to find the solution set for the given quadratic equations by factoring. The equ...
Quadratic EquationsFactorizationSolution Sets
2025/5/29
The problem asks to find the solution set of two quadratic equations by factoring. The quadratic equ...
Quadratic EquationsFactoringSolution Sets
2025/5/29
We are given the equation $7123 \div x = 712.3$ and asked to find the value of $x$.
EquationsSolving EquationsDivision
2025/5/29
Find the value of $k$ for which the line passing through the points $(3, 2k+1)$ and $(8, 4k-5)$ is p...
Linear EquationsSlopeCoordinate Geometry
2025/5/29
The problem asks us to evaluate the expression $A = \frac{2023 \times 2025 + 1}{2024}$.
Algebraic ManipulationSimplificationSubstitution
2025/5/29