Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks to find the value(s) of $x$ for which the expression $\frac{x-4}{5x-40} \div \frac{...

Rational ExpressionsUndefined ExpressionsDomain
2025/4/16

Simplify the expression: $\frac{(2x^3y^1z^{-2})^{-2}x^4y^8z^{-2}}{5x^5y^4z^2}$

ExponentsSimplificationAlgebraic Expressions
2025/4/16

The problem asks us to solve the linear equation $15 + x = 3x - 17$ for the variable $x$.

Linear EquationsSolving Equations
2025/4/16

The problem asks to graph the equation $y = x^2 - 4$.

ParabolaGraphingQuadratic EquationsVertexIntercepts
2025/4/15

The problem asks us to find the values of the variables $m$ and $y$ in the given expressions that wo...

Undefined ExpressionsRational ExpressionsSolving Equations
2025/4/15

We are given the equation $\frac{m^2}{4} = 9$ and need to solve for $m$.

EquationsSolving EquationsSquare Roots
2025/4/15

The problem is to solve the proportion $\frac{1.2}{m} = \frac{0.04}{8}$ for the variable $m$.

ProportionsSolving EquationsLinear Equations
2025/4/15

Simplify the expression $x(x - 5) - 2(x - 5)$.

PolynomialsSimplificationExpanding Expressions
2025/4/15

The problem asks to identify the property demonstrated by the equation: $\pi * (-\frac{1}{\sqrt{5}} ...

Real NumbersMultiplicative InverseSimplificationExponents
2025/4/15

We are asked to simplify the complex fraction $\frac{\frac{7}{y^2 - 4}}{\frac{7}{y+2} + 1}$.

Complex FractionsFraction SimplificationAlgebraic ManipulationFactoringDifference of Squares
2025/4/15