Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem is to simplify the expression $\frac{6x^3y^5}{2x^6y^2}$.
ExponentsSimplificationAlgebraic ExpressionsQuotient Rule
2025/6/8
The problem is to solve the equation $9^{z+5}=3^z$ for the variable $z$.
ExponentsEquationsAlgebraic Manipulation
2025/6/8
The problem is to simplify the expression $\frac{x^{10}}{x^{-4}}$.
ExponentsSimplification
2025/6/7
The problem asks us to solve the inequality $2(5-3x) - 4x + 6 \ge 0$.
InequalitiesLinear InequalitiesSolving Inequalities
2025/6/7
The problem asks to find the domain of the expression $\frac{x-1}{x^2 + 5x + 6}$. The domain of a ra...
DomainRational FunctionsQuadratic EquationsInequalitiesInterval Notation
2025/6/7
The first question asks us to identify which of the given numbers is not a rational number. The opti...
Rational NumbersDomainIrrational NumbersRational Expressions
2025/6/7
We are given the equation $\frac{x+23}{25} + \frac{x+30}{19} + \frac{x+27}{54} = 6$ and we need to s...
EquationsLinear EquationsSolving Equations
2025/6/7
We are given the function $f(x) = 5 - 3x^2$ and asked to find the value of the function at $x=3$. Th...
FunctionsEvaluationPolynomials
2025/6/6
The problem is to identify the pattern in the given sequence and find a general expression for the $...
SequencesSeriesExponentsPattern Recognition
2025/6/6
The problem is to factor the expression $8x^6y^{12} + 27$.
FactoringSum of CubesPolynomials
2025/6/6