Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
Simplify the expression $\frac{u^2 - 4v^2}{(6u + 12v)^2}$.
Algebraic SimplificationFactoringDifference of SquaresRational Expressions
2025/5/15
We are given a system of four linear equations with four variables $a$, $b$, $c$, and $d$: \begin{al...
Linear EquationsSystems of EquationsSolving Equations
2025/5/15
Given a cubic function $f(x) = ax^3 + bx^2 + cx + d$, we need to find the coefficients $a, b, c,$ an...
Cubic FunctionsDerivativesRelative ExtremaCurve SketchingRoots of Equations
2025/5/14
We are given a cubic function $f(x) = ax^3 + bx^2 + cx + d$. We need to find the values of the coeff...
CalculusCubic FunctionsDerivativesLocal Maxima and MinimaTangent LinesSystems of Equations
2025/5/14
The problem is to solve the equation $(1-a)^3 = \frac{1}{2}$ for $a$.
EquationsCube RootsSolving EquationsAlgebraic ManipulationRationalization
2025/5/14
The problem is to solve for $a$ in the equation $(1 - a^5) = \frac{1}{2}$.
EquationsExponentsRootsAlgebraic Manipulation
2025/5/14
The problem asks to find the x and y intercepts of the equation $2x + y + 4 = 0$ and then sketch the...
Linear EquationsInterceptsGraphing
2025/5/14
The problem has two parts. Part 1: Find the equation of the lines in the form $y = mx + c$ for the g...
Linear EquationsSlope-Intercept FormX-interceptY-interceptGraphing
2025/5/14
The problem asks us to find the gradient and y-intercept for each of the given linear equations. The...
Linear EquationsGradientY-interceptCoordinate Geometry
2025/5/14
The problem asks us to find the gradient ($m$) and the y-intercept for each of the two given graphs ...
Linear EquationsGradientY-interceptCoordinate Geometry
2025/5/14