Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We are asked to sketch the graphs of the linear inequalities 1) $y \ge \frac{1}{4}x - 3$ 2) $y < 5x ...

Linear InequalitiesGraphingCoordinate GeometrySystems of Inequalities
2025/3/14

The problem asks us to graph the inequality $5x + 2y > -4$.

Linear InequalitiesGraphingCoordinate GeometrySlope-Intercept FormShading
2025/3/14

We are given the equation $\frac{x}{6x-36} - 9 = \frac{1}{x-6}$ and we need to solve for $x$.

Algebraic EquationsRational EquationsSolving EquationsNo Solution
2025/3/13

Solve for $x$ in the equation $\frac{2}{3}x - \frac{5}{6} = \frac{3}{4}$.

Linear EquationsFractionsSolving Equations
2025/3/13

We are given the equation $\frac{4}{x-2} + \frac{1}{2(x-2)} = \frac{3}{4(x-2)}$ and we need to solve...

EquationsRational EquationsSolving EquationsNo Solution
2025/3/13

We are given the equation $\frac{4}{x-2} + \frac{1}{2(x-2)} = \frac{3}{4(x-2)}$ and we need to solve...

EquationsRational EquationsSolving EquationsNo Solution
2025/3/13

We are asked to solve the equation $\frac{4}{x-2} + \frac{1}{2} = \frac{3}{4}$ for $x$.

Algebraic EquationsSolving EquationsRational Expressions
2025/3/13

We need to solve the equation $\frac{x+8}{6} + 3 = \frac{3x+8}{8}$ for $x$.

Linear EquationsSolving EquationsFractionsAlgebraic Manipulation
2025/3/13

We are given the equation $\frac{p+5}{3} = 1 - p$ and asked to solve for $p$.

Linear EquationsSolving Equations
2025/3/13

We are given the equation $\frac{8}{x+1} = \frac{4}{3}$ and we want to solve for $x$.

Linear EquationsSolving EquationsCross-Multiplication
2025/3/13