Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given the following information: $a+b+c = 15$ $a^2 + b^2 + c^2 = 83$ We are asked to find the...
Algebraic EquationsExpansionProblem Solving
2025/4/22
The sixth term of an arithmetic progression is 37, and the sum of the first six terms is 147. We nee...
Arithmetic ProgressionSequences and SeriesLinear Equations
2025/4/22
The problem provides the equation $x^2 = 5 + 2\sqrt{6}$ and asks to find the value of $x$. Also, it ...
EquationsExponentsAlgebraic ManipulationSimplificationPerfect SquaresInequalities
2025/4/22
We are asked to simplify the expression $\frac{(a^0b^{-2})^2}{b \cdot a b^0}$.
ExponentsSimplificationAlgebraic Expressions
2025/4/22
Simplify the expression $\frac{x^4 \cdot (x^{-2}y^3)^{-3}}{2y \cdot 2xy^3}$.
ExponentsSimplificationAlgebraic Expressions
2025/4/22
Simplify the expression $(\frac{x^3 \cdot 2x^2 y^{-3}}{yx^0})^4$.
ExponentsSimplificationAlgebraic Expressions
2025/4/22
Simplify the expression $\frac{(2mn^{-2})^4}{2m^4n^3 \cdot 2m^{-4}}$.
ExponentsSimplificationAlgebraic Expressions
2025/4/22
We need to simplify the expression $(\frac{2r^3t^6}{5u^9})^4$.
ExponentsSimplificationAlgebraic ExpressionsPower of a QuotientPower of a ProductPower of a Power
2025/4/22
We need to solve the following equation for $x$: $\frac{2}{3}(3x-5) - \frac{3}{5}(2x-3) = 3$.
Linear EquationsEquation SolvingFractions
2025/4/22
The problem asks us to find the distance between home and office, given that walking at 4 km/h takes...
DistanceSpeedTimeLinear EquationsWord Problem
2025/4/22