Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks to find the inequality whose solution is represented by the shaded region in the gi...
Linear InequalitiesGraphing InequalitiesCoordinate Geometry
2025/4/29
The problem asks to find the formula for the $n$th term of the sequence $-2, 4, -8, 16, \dots$. The ...
SequencesSeriesExponents
2025/4/29
We are given the equation $y = \frac{2(\sqrt{x^2}+m)}{3N}$ and we want to express $x$ in terms of $y...
Equation SolvingSquare RootsVariables
2025/4/29
The problem asks to find the length of a rectangular garden given that its perimeter is 32 cm and it...
Word ProblemRectanglesPerimeterAreaQuadratic EquationsFactoring
2025/4/29
The problem states that a rectangle has a length of $x$ cm and a width of $(x - 1)$ cm. The perimet...
PerimeterRectanglesLinear EquationsSolving Equations
2025/4/29
The problem asks us to simplify the expression $\frac{2}{2+x} + \frac{2}{2-x}$.
Algebraic ExpressionsSimplificationFractionsDifference of Squares
2025/4/29
The problem asks to simplify the expression $2\sqrt{3} - \frac{6}{\sqrt{3}} + \frac{3}{\sqrt{27}}$.
SimplificationRadicalsRationalizationAlgebraic Manipulation
2025/4/29
We are given the equation $\frac{5^{n+3}}{25^{2n-2}} = 5^0$ and we need to find the value of $n$.
ExponentsEquationsSimplificationProblem Solving
2025/4/29
The problem asks us to solve the inequality $3(x + 1) \le 5(x + 2) + 15$.
InequalitiesLinear InequalitiesSolving Inequalities
2025/4/29
The problem asks to find the value of $x$ such that the sum of 6 and one-third of $x$ is one more th...
Linear EquationsEquation SolvingVariable Isolation
2025/4/29