Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given that $a$ and $b$ are whole numbers such that $a^b = 121$. We want to find the value of ...
ExponentsInteger SolutionsEquations
2025/5/27
The problem asks to simplify the expression $[5a^5b^2 \times 3(ab^3)^2] \div (15a^2b^8)$.
ExponentsSimplificationAlgebraic ExpressionsProduct of PowersQuotient of Powers
2025/5/27
The problem asks us to find the value(s) of $x$ for which the function $f(x) = \frac{3x-1}{2x-6}$ is...
FunctionsDomainRational Functions
2025/5/27
We need to solve the equation $(\frac{1}{3})^{\frac{x^2-2x}{16-2x^2}} = \sqrt[4x]{9}$ for $x$.
Exponents and RadicalsEquationsCubic EquationsSolving Equations
2025/5/27
We are asked to find the value of $w$ given the equation $\log(w+5) + \log(w-5) = 4\log(2) + 2\log(3...
LogarithmsEquationsSolving EquationsAlgebraic ManipulationDomain of Logarithms
2025/5/27
We need to solve the following inequality for $x$: $-9(-2x - 3) \ge 4(2x - 3)$
InequalitiesLinear InequalitiesAlgebraic Manipulation
2025/5/26
We need to solve the inequality $-4(x-3) > -3(x-5)$ for $x$.
InequalitiesLinear InequalitiesSolving Inequalities
2025/5/26
We are given the inequality $-2(-2x+4) \le x+7$ and we need to solve for $x$.
InequalitiesLinear InequalitiesSolving Inequalities
2025/5/26
We are asked to solve the inequality $3(2x - 1) < 2x + 5$ for $x$.
InequalitiesLinear InequalitiesSolving Inequalities
2025/5/26
We are asked to solve the inequality $2x - 10 \leq 7x - 9$ for $x$.
InequalitiesLinear InequalitiesSolving Inequalities
2025/5/26