Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to make $x$ the subject of the formula $x = \frac{3+x}{y}$.
Equation SolvingVariable IsolationLinear Equations
2025/7/15
The problem asks to calculate the 15th term of a geometric progression where the first term $a$ is 8...
Geometric ProgressionSequences and SeriesExponentsSum of a Geometric Series
2025/7/15
The problem asks us to solve a system of two linear equations for $x$ and $y$, and then find the val...
Linear EquationsSystems of EquationsSolving Equations
2025/7/15
We are given that the area of the triangular faces of a prism is $348 \text{ cm}^2$. Also, $x + 4x +...
Linear EquationsSolving EquationsSystem of Equations
2025/7/15
The problem describes the jumps of a toy rabbit. The lengths of the jumps form a sequence: 96 cm, 90...
Arithmetic ProgressionSequences and SeriesWord Problem
2025/7/14
We are given a system of two linear equations with two variables, $x$ and $y$: $x + 2y = 17$ $8x + 3...
Linear EquationsSystems of EquationsSubstitution MethodSolving Equations
2025/7/14
The problem asks us to solve a system of linear equations using the elimination method. I will solve...
Linear EquationsSystems of EquationsElimination MethodSolving Equations
2025/7/14
We are given a system of two linear equations with two variables, $x$ and $y$. The equations are: $2...
Linear EquationsSystems of EquationsElimination MethodSolving Equations
2025/7/14
We need to solve two problems. a. Show that the function $f(x) = x^5 - 5x^4 + 5x^3 - 1$ has a maximu...
CalculusDerivativesCritical PointsMaxima and MinimaLinear EquationsCramer's RuleDeterminants
2025/7/14
We need to solve the system of simultaneous equations using Cramer's rule: $p + 2q - r = 9$ $2p - q ...
Linear AlgebraSystems of EquationsCramer's RuleDeterminantsMatrices
2025/7/14