Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
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
We are asked to solve the trigonometric equation $\sin(x - \frac{\pi}{6}) = -\frac{\sqrt{2}}{2}$ for...
TrigonometryTrigonometric EquationsSine FunctionSolving Equations
2025/5/29
The problem is to solve the trigonometric equation $2\sin^2{x} - \sqrt{2}\cos{x} = 0$.
TrigonometryTrigonometric EquationsQuadratic EquationsCosine FunctionSolution
2025/5/29
The problem is to solve the equation $y = b^2 + 10b = 1$. We need to find the value of $b$ that sati...
Quadratic EquationsQuadratic FormulaSolving EquationsSquare Roots
2025/5/28
The problem describes a scenario where a reception is being planned, and a committee of 2 people is ...
CombinationsLinear EquationsNumber TheoryProblem Solving
2025/5/27
The problem consists of two parts. The first part asks to solve a system of three linear equations w...
Linear EquationsSystems of EquationsWord ProblemsAlgebraic Manipulation
2025/5/27
The problem describes a farmer, Mr. Anyigbanyo, who wants to cultivate a trapezoidal field. First, ...
Quadratic EquationsTrigonometryGeometryArea Calculation
2025/5/27
The problem asks us to find the value of the function $g(x) = x^2 + 8x - 6$ when $x = -5$. In other...
FunctionsPolynomialsEvaluation
2025/5/27