Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

Solve the equation $\frac{(x^2+a^2-b^2)(a+x)}{ax} + \frac{(a^2+b^2-x^2)(b+a)}{ab} + \frac{(b^2+x^2-a...

EquationsAlgebraic ManipulationQuadratic FormulaPolynomial Equations

The problem asks us to construct the graphs of the following linear functions: a) $y = 2x - 1$ b) $y...

Linear FunctionsGraphingCoordinate Geometry

The problem describes a farmer, Mr. ANYIGBANYO, who wants to cultivate a piece of trapezoidal land a...

Quadratic EquationsTrigonometryGeometryArea Calculation

We are asked to find a formula for each of the given summations. a) $\sum_{i=1}^{n} (\sqrt{2i+1} - \...

SummationSeriesTelescoping SumGeometric SeriesPartial FractionsLogarithms

We are given a system of four linear equations with four unknowns A, B, C, and D. We need to find th...

Linear EquationsSystems of EquationsSolving Equations

We are given a system of four linear equations with four variables $A, B, C, D$. The equations are: ...

Linear EquationsSystems of EquationsSolution Existence

The problem involves a system of linear equations with four unknowns: A, B, C, and D. We are given t...

Linear EquationsSystems of EquationsVariable Elimination

Solve the equation $5-\frac{1}{x}=1$ for $x$.

Linear EquationsEquation Solving

The problem consists of two parts. Part A is about solving a system of linear equations and analyzin...

Linear EquationsSystems of EquationsSolving EquationsSubstitution

The problem states that three years ago, a father was 20 years older than his son. In 10 years from ...

Age ProblemsLinear EquationsSystems of Equations

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