Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks at what temperature is the difference between Fahrenheit and Celsius equal to 50 de...

Temperature ConversionLinear EquationsProblem Solving
2025/5/17

The problem is to solve the equation $x(x-5)-3=19$ for $x$.

Quadratic EquationsSolving EquationsQuadratic Formula
2025/5/17

The problem asks us to find the intersection points of two parabolas, given by the equations $y = 5x...

ParabolaQuadratic EquationsIntersection of CurvesSolving EquationsFactorization
2025/5/17

The problem requires us to find the points of intersection of the two given curves: $y = x^2$ and $y...

Systems of EquationsParabolaIntersection Points
2025/5/17

The problem consists of two parts. (a) We are given the equation $y = (\frac{pr}{m} - p^2r)^{-\frac{...

Equation SolvingFormula ManipulationExponentsSubstitution
2025/5/17

We are given two math problems. (a) The terms $(7-2x)$, $9$, and $(5x+17)$ are consecutive terms of ...

Geometric ProgressionQuadratic EquationsRatio and ProportionAlgebraic Equations
2025/5/17

The problem is to match each inequality with its corresponding number line representation.

InequalitiesNumber LinesSolving Inequalities
2025/5/16

The problem asks us to express the expression $\frac{4}{x+5} - \frac{3}{x}$ as a single fraction in ...

Algebraic FractionsSimplificationRational Expressions
2025/5/16

The problem asks to factor the expression $2\pi rh + 2\pi r$.

FactoringExpressions
2025/5/16

We have two equations to solve. The first equation is: $(x+2)^2 - (x-y)(x+y) - 3(y+5) = 0$ The secon...

Systems of EquationsQuadratic EquationsSubstitutionAlgebraic Manipulation
2025/5/16