Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
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
Simplify the expression $\sqrt{(3-\pi)^2}$. Then, consider the condition $\sin(3-\pi) < 0$.
Absolute ValueSimplificationTrigonometryInequalitiesSquare Roots
2025/3/11
The problem is to simplify the expression $\sqrt{(3-\pi)^2}$.
SimplificationAbsolute ValueSquare RootReal Numbers
2025/3/11
The problem asks to simplify the expression $\sqrt{(\frac{6}{5})^2}$.
ExponentsSquare RootsSimplificationAbsolute Value
2025/3/11