Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given a quadratic function $g(x) = ax^2 + bx + 1$. We are also given that $g(1) = 0$ and $g(2...
Quadratic FunctionsSystems of EquationsSubstitutionElimination
2025/3/12
The problem gives the function $g(x) = x^2 - 2x + p$, where $p$ is a real number. We are also given ...
Quadratic FunctionsFunction EvaluationSolving Equations
2025/3/12
The problem is to solve the system of linear equations: $4x + y = 6$ $3x - y = 8$
Linear EquationsSystems of EquationsElimination MethodSolving Equations
2025/3/12
The problem asks to solve the following system of linear equations by graphing and to find the inter...
Linear EquationsSystems of EquationsSlope-intercept formGraphingIntersection Point
2025/3/12
The problem asks to solve the following system of equations by graphing: $4x + y = 3$ $3x - y = 4$
Systems of EquationsLinear EquationsGraphingSlope-intercept form
2025/3/12
We need to find the value of $\tan \frac{4\pi}{3}$.
TrigonometryTangent FunctionAngle ConversionUnit Circle
2025/3/12
The problem asks to find the value of $\tan(\frac{3\pi}{4})$.
TrigonometryTangent FunctionAngle Identities
2025/3/12
We are given the equations $x + \frac{1}{y} = y + \frac{1}{z} = z + \frac{1}{x}$. We want to find po...
EquationsSystems of EquationsAlgebraic Manipulation
2025/3/12
We are given that the sum of two numbers is 18. We need to find the greatest possible product of the...
OptimizationQuadratic FunctionsMaximum ValueWord Problem
2025/3/12
The problem asks us to solve the proportion $\frac{3}{4} = \frac{2}{v-2}$.
ProportionsSolving EquationsLinear Equations
2025/3/11