Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We are given the equation $\frac{p}{2} = 1 - \frac{3p}{4}$ and asked to solve for $p$.

Linear EquationsSolving EquationsFractions
2025/7/20

We are given the equation $7 - \frac{k}{4} = \frac{k}{10}$ and asked to solve for the variable $k$.

Linear EquationsSolving EquationsFractionsVariable IsolationArithmetic Operations
2025/7/20

We are asked to solve the equation $\frac{y}{4} - \frac{2y}{3} = 16$ for $y$.

Linear EquationsFractionsSolving Equations
2025/7/20

The problem is based on a spreadsheet showing a quadratic function $y = x^2 + 2x - 5$. We need to an...

Quadratic FunctionsSpreadsheetsGraphingFunctions
2025/7/20

The problem asks for two things: 1. Find the sign of the given permutations.

PermutationsDeterminantsLinear AlgebraMatrices
2025/7/18

The problem states that we have 3 types of animals: a horse, an elephant, and a chicken. The price o...

Systems of EquationsWord ProblemLinear EquationsInteger Solutions
2025/7/18

Ifti is building triangular structures with matchsticks. The first structure needs 3 matchsticks, th...

Sequences and SeriesArithmetic SeriesFormula DerivationProblem Solving
2025/7/17

A lady travels a total distance of 3 km in 26 minutes. She walks at a speed of 6 km/hour for some di...

Word ProblemSystems of EquationsLinear EquationsDistance, Rate, and Time
2025/7/16

A lady travels a total distance of 3 km by walking and running. She walks at a speed of 6 km/hour an...

Word ProblemLinear EquationsDistance, Speed, and Time
2025/7/16

A man undertakes a journey of 240 km. He travels some of the way by train at 48 km/hour and the rest...

Word ProblemsLinear EquationsDistance, Rate, and Time
2025/7/16