Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem describes a quadratic equation $ax^2 + bx + c = 0$ with a discriminant $b^2 - 4ac = -1$....
Quadratic EquationsDiscriminantRoots of EquationsComplex Numbers
2025/4/22
We are asked to find the Least Common Denominator (LCD) of the two given rational expressions: $\fra...
Rational ExpressionsLeast Common Denominator (LCD)Algebraic ManipulationPolynomials
2025/4/22
The problem requires us to complete a table of values for the equation $y = 2x^2 - 7x - 9$ for $-3 \...
Quadratic EquationsGraphsParabolaInequalitiesFunctions
2025/4/22
We are asked to add the two algebraic fractions $\frac{n}{5}$ and $\frac{8n}{15}$ and simplify the r...
FractionsAlgebraic FractionsSimplificationCommon Denominator
2025/4/22
The problem consists of two parts: (a) A manufacturing company uses 3 hours of direct labor to proce...
Linear EquationsWord ProblemsSimple InterestRatio and Proportion
2025/4/22
We need to determine the condition under which $\sqrt[n]{x}$ is never negative when $n$ is an even n...
Exponents and RadicalsInequalitiesReal NumbersEven Roots
2025/4/22
The problem states that the cost of hiring a surfboard is $4 upfront plus $10 for each day it is hir...
Linear EquationsWord ProblemsModeling
2025/4/22
The problem gives an equation that represents the cost $c$ of hiring a caravan for $d$ days: $c = 40...
Linear EquationsGraphingCoordinate GeometryWord Problem
2025/4/22
The problem asks us to plot a graph representing the conversion between Celsius (°C) and Fahrenheit ...
Linear EquationsGraphingTemperature ConversionSlopeY-intercept
2025/4/22
A taxi journey costs $£9$ upfront, and then $£2$ for every mile travelled. We need to find the cost ...
Linear EquationsWord ProblemCost Calculation
2025/4/22