Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem is to simplify the expression $\frac{a-6}{a^2 - 9} - \frac{a+1}{a^2 + 2a - 3}$.
Algebraic SimplificationRational ExpressionsFactoringPolynomialsFractions
2025/4/25
We need to simplify the expression: $\frac{3x-1}{x^2+4x} + \frac{7-8x}{x^2+5x+4}$.
Algebraic FractionsSimplificationFactoringPolynomialsCommon Denominator
2025/4/25
Simplify the following expression: $\frac{\frac{3}{p^2} - \frac{1}{p^2-4}}{1 - \frac{6}{p^2}}$
Algebraic simplificationRational expressionsFractionsPolynomials
2025/4/24
The function $P(s) = 3s$ gives the perimeter of an equilateral triangle of side length $s$. a. We ne...
PerimeterEquationsSolving EquationsLinear EquationsGeometryEquilateral Triangle
2025/4/24
The problem asks us to find the input values $x$ for which the function $g(x)$ is equal to 4, based ...
FunctionsGraph InterpretationEquation Solving
2025/4/24
The problem describes two cell phone plans: Company C charges \$10 per month plus \$15 per gigabyte,...
Linear FunctionsCost AnalysisModelingInequalitiesGraphing
2025/4/24
Diego is building a rectangular fence for his garden. The width of the garden, $x$, must be at least...
InequalitiesOptimizationLinear ProgrammingGeometryPerimeterConstraints
2025/4/24
The image contains several expressions with exponents to be simplified. I will solve each of them in...
ExponentsSimplificationAlgebraic ManipulationPowers
2025/4/24
The problem asks us to simplify expressions involving multiplication of numbers raised to powers. We...
ExponentsSimplificationLaws of Exponents
2025/4/24
The problem asks to simplify expressions involving the product of powers with the same base. We will...
ExponentsSimplificationLaws of Exponents
2025/4/24