Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to factor out the greatest common factor from the expression $10ab^2 + 5ab - 15a...
FactoringGreatest Common FactorPolynomials
2025/3/22
The problem asks us to factor out the greatest common factor from the expression $8a^2b^3 - 72ab + 1...
FactoringGreatest Common FactorPolynomials
2025/3/22
The problem asks us to factor the expression $7x^2 - 56x$ by factoring out the greatest common facto...
FactoringGreatest Common FactorPolynomials
2025/3/22
The problem asks us to factor out the greatest common factor from the expression $48 - 6x$.
FactoringGreatest Common FactorPolynomials
2025/3/22
The problem asks us to reduce the radical $\sqrt{112}$. This means we want to simplify the square ro...
RadicalsSimplificationSquare RootsExponentsPrime Factorization
2025/3/22
The problem asks us to simplify the radical expression $\sqrt{300}$.
RadicalsSimplificationSquare RootsExponentsPrime Factorization
2025/3/22
We need to solve the equation $\frac{2x}{x-5} = 4 + \frac{10}{x-5}$ for $x$.
Algebraic EquationsRational EquationsSolving EquationsNo SolutionDomain Restrictions
2025/3/22
We are asked to find the equation of a line that passes through the point $(-1, 3)$ and is perpendic...
Linear EquationsPerpendicular LinesSlopePoint-Slope Form
2025/3/22
The problem asks us to find the slope $m$ and y-intercept $b$ of the line given by the equation $3x ...
Linear EquationsSlope-intercept formEquation of a lineAlgebraic manipulation
2025/3/22
The problem defines two functions $f(x) = 3x^2 - 1$ and $g(x) = 3 - x^2$. We need to find the value ...
Function CompositionPolynomial FunctionsEvaluation
2025/3/22