Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are asked to solve the absolute value equation $|5x + 4| + 10 = 2$ for $x$.
Absolute Value EquationsEquation Solving
2025/6/5
The problem is to solve the equation $\frac{x}{6x-36} - 9 = \frac{1}{x-6}$ for $x$.
EquationsRational EquationsSolving EquationsAlgebraic ManipulationNo Solution
2025/6/5
Solve the equation $\frac{2}{3}x - \frac{5}{6} = \frac{3}{4}$ for $x$.
Linear EquationsFractionsSolving Equations
2025/6/5
The problem is to solve the following equation for $x$: $\frac{42}{43}x - \frac{25}{26} = \frac{33}{...
Linear EquationsFractional EquationsSolving EquationsArithmetic OperationsFractions
2025/6/5
The problem is to solve the linear equation $2(x - 2) - (x - 1) = 2x - 2$ for $x$.
Linear EquationsEquation SolvingAlgebraic Manipulation
2025/6/5
We are given the equation $4^{5-9x} = \frac{1}{8^{x-2}}$ and need to solve for $x$.
ExponentsEquationsSolving EquationsAlgebraic Manipulation
2025/6/5
We are given the equation $9^{z+5} = 3^z$ and we need to solve for $z$.
ExponentsEquationsSolving Equations
2025/6/5
The problem is to simplify the expression $((-2xy^2)^2) (\frac{x^6}{(2x)^2})^3$.
ExponentsSimplificationAlgebraic Expressions
2025/6/5
Simplify the expression $\frac{(2m^2n)^3}{(mn^3)^2 \times (4m)^2}$.
ExponentsSimplificationAlgebraic Expressions
2025/6/5
The problem asks to graph the function $y = 2(3.75)^x$ and plot two points to graph the function.
Exponential FunctionsGraphingFunction Evaluation
2025/6/5