Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to graph the solution to the following system of inequalities: $y \ge 3x - 2$ $y...
Linear InequalitiesGraphingSystems of InequalitiesCoordinate Geometry
2025/3/18
The problem asks to find the solution set of the following system of inequalities and graph it. $y \...
Linear InequalitiesSystems of InequalitiesGraphingIntersection Point
2025/3/18
Simplify the expression $(x - \frac{1}{x})^3 + (x + \frac{1}{x})^3$, given that $x$ is a real number...
Algebraic SimplificationBinomial ExpansionExponents
2025/3/18
The problem asks to simplify the expression $\frac{\log_{10} 125}{\log_{10} 25}$.
LogarithmsSimplificationExponent Properties
2025/3/18
Simplify the expression $\frac{\log_{10} 125}{\log_{10} 25}$.
LogarithmsSimplificationExponent Properties
2025/3/18
We are given the equation $x^2 = -121$ and we need to solve for $x$.
Complex NumbersQuadratic EquationsSquare RootsImaginary Numbers
2025/3/18
The problem asks us to graph the solution to the system of inequalities: $x + 5y < 15$ $y < 3$
Linear InequalitiesGraphing InequalitiesSystems of InequalitiesCoordinate Geometry
2025/3/18
Solve the fractional equation $\frac{2x + 2}{x - 2} = 5$. We need to check the solution in the orig...
Algebraic EquationsFractional EquationsSolving Equations
2025/3/17
The problem asks us to solve the equation $\frac{5x}{2} - 7 = \frac{2x - 7}{6}$ for $x$.
Linear EquationsEquation SolvingFractionsVariable Isolation
2025/3/17
The problem is to solve the equation $3(x - 7) = 4 - 2(x + 2)$ for $x$.
Linear EquationsEquation SolvingVariable Isolation
2025/3/17