Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem is to solve the quadratic equation $7x^2 + 4 = 11x$ by factoring.
Quadratic EquationsFactoringSolving Equations
2025/5/19
The problem asks to evaluate $(-8)^{\frac{2}{3}}$.
ExponentsRadicalsSimplification
2025/5/19
We are asked to evaluate the expression $0.3^{1/3} \times 0.3^{1/3} \times 0.3^{1/3}$.
ExponentsAlgebraic ManipulationReal Numbers
2025/5/19
The problem is to solve the equation $x = y - a$ for $y$.
Linear EquationsSolving EquationsVariable Isolation
2025/5/19
The problem describes an electronic equipment manufacturer, Dynamo Electric, Inc., that produces sur...
Linear EquationsProfitBreak-even Analysis
2025/5/19
The problem states that a manufacturer sells belts for $15 per unit. The fixed costs are $3000 per m...
Linear EquationsCost FunctionRevenue FunctionBreak-Even Analysis
2025/5/19
The problem asks us to evaluate the expression $\frac{1}{2} \cdot 0.3^{1/3} \times 0.3^{1/3} \times ...
ExponentsOrder of OperationsArithmetic Operations
2025/5/19
The problem states that the relationship between the number of units sold $x$ and profit $P$ is line...
Linear EquationsProfit FunctionMarginal ProfitSlope
2025/5/19
The problem is to solve the system of linear equations: $-4x + 3y = -9$ $3x - 2y = 8$
Linear EquationsSystem of EquationsElimination Method
2025/5/19
We are asked to solve the following system of equations using the substitution method: $2x - y = 2$ ...
Systems of EquationsSubstitution MethodLinear Equations
2025/5/19