Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to graphically determine the number and solutions of the equation $f(x) = 0$ for...
Quadratic EquationsRoots of EquationsIntervalsQuadratic FormulaFactorization
2025/4/29
The problem asks us to determine the number of solutions and the solutions themselves of the equatio...
Quadratic EquationsRoots of EquationsIntervalsQuadratic FormulaFactorization
2025/4/29
The problem asks us to identify the coefficients $a$, $b$, and $c$ of several quadratic functions in...
Quadratic FunctionsVertex of a ParabolaCoefficients
2025/4/29
The problem asks to find the inverse of the function $f(x) = \frac{3x-1}{2x-6}$.
FunctionsInverse FunctionsAlgebraic Manipulation
2025/4/29
The problem asks us to simplify the expression $3x + 7x$.
SimplificationAlgebraic ExpressionsCombining Like Terms
2025/4/29
The problem provides a function $f(x) = \frac{1}{4} - (x - \frac{3}{2})^2$ and asks to: 1) Develop, ...
Quadratic FunctionsEquation SolvingAbsolute ValueSimplification
2025/4/29
The problem asks us to calculate $cis(72^\circ)$. The notation $cis(\theta)$ is equivalent to $cos(...
TrigonometryComplex NumbersCosineSineQuadratic Equations
2025/4/29
The problem asks us to find the values of $m$ and $c$ in the equation $y = mx + c$ for the given lin...
Linear EquationsSlopeY-interceptCoordinate Geometry
2025/4/29
Find the equation of the line that passes through the points $(-5, -3)$ and $(10, -6)$.
Linear EquationsSlope-Intercept FormCoordinate Geometry
2025/4/29
The problem is to solve the equation $\frac{x}{7} = 18$ for $x$.
Linear EquationsSolving EquationsVariables
2025/4/29