Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

There are $p$ people in line to buy baseball tickets, and 17 of them are wearing a hat. We need to f...

Word ProblemVariablesSubtractionLinear Expressions
2025/5/31

The problem asks us to analyze a table of input values $x$ and output values $y$ to determine the ru...

Linear EquationsFunctionsTable Analysis
2025/5/30

We are given three problems. (a) Simplify the expression $(4x+2)(x-2)-3x^2$. (b) Find the value of $...

Algebraic ExpressionsLinear EquationsGeometryCircle AnglesCost Function
2025/5/30

The problem has three parts: (a) Factorize the expression $5ay - by + 15a - 3b$. (b) Solve the equat...

FactorizationLinear EquationsRatio and Proportion
2025/5/30

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

Quadratic EquationsQuadratic FormulaAlgebraic ManipulationSolving Equations
2025/5/29

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

Quadratic EquationsFactoringSolution Sets
2025/5/29

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

Quadratic EquationsFactoringQuadratic FormulaSolving Equations
2025/5/29

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

Quadratic EquationsFactorizationSolution Sets
2025/5/29

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

Quadratic EquationsFactoringSolution Sets
2025/5/29

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

EquationsSolving EquationsDivision
2025/5/29