Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem is to solve the quadratic equation $10x^2 = -19x + 15$ for $x$.

Quadratic EquationsQuadratic FormulaAlgebraic ManipulationSolving Equations

The problem asks to find the solution set for two quadratic equations by factoring. The equations ar...

Quadratic EquationsFactoringSolution Sets

The problem asks us to find the solution set for the given quadratic equations by factoring.

Quadratic EquationsFactoringQuadratic FormulaSolving Equations

The problem asks us to find the solution set for the given quadratic equations by factoring. The equ...

Quadratic EquationsFactorizationSolution Sets

The problem asks to find the solution set of two quadratic equations by factoring. The quadratic equ...

Quadratic EquationsFactoringSolution Sets

We are given the equation $7123 \div x = 712.3$ and asked to find the value of $x$.

EquationsSolving EquationsDivision

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

The problem asks us to evaluate the expression $A = \frac{2023 \times 2025 + 1}{2024}$.

Algebraic ManipulationSimplificationSubstitution

We are asked to solve the trigonometric equation $\sin(x - \frac{\pi}{6}) = -\frac{\sqrt{2}}{2}$ for...

TrigonometryTrigonometric EquationsSine FunctionSolving Equations

The problem is to solve the trigonometric equation $2\sin^2{x} - \sqrt{2}\cos{x} = 0$.

TrigonometryTrigonometric EquationsQuadratic EquationsCosine FunctionSolution

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