Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The ratio of boys to girls in a class is $4:5$. There are 3 more girls than boys. We need to calcula...
RatioLinear EquationsWord ProblemProblem Solving
2025/4/21
The problem states that the cooking time for meat is 13 minutes for every 500 grams of meat plus 20 ...
Word ProblemsLinear EquationsUnits ConversionFormulas
2025/4/21
The problem asks us to find the inverse of the function $f(x) = 2x + 3$.
FunctionsInverse FunctionsLinear Functions
2025/4/21
The problem asks to simplify the rational expression $\frac{2x^2 + 15x + 18}{4x^2 - 9}$.
Rational ExpressionsFactoringSimplificationAlgebraic Manipulation
2025/4/21
The problem asks us to rearrange the formula $h = \frac{mt}{d(m+p)}$ to make $m$ the subject.
Formula ManipulationSolving for a VariableAlgebraic Equations
2025/4/21
We are given a function of two variables, $f(x, y) = x^2y + \sqrt{y}$. We need to find the values of...
FunctionsFunction EvaluationVariablesSquare RootsExponents
2025/4/21
The problem consists of two parts. (a) Given an arithmetic progression (AP) with the first term $a_1...
Arithmetic ProgressionLinear EquationsSystems of EquationsWord ProblemsProfit and Loss
2025/4/21
The problem provides a table of values for the relation $y = px^2 - 5x + q$. We need to find the val...
Quadratic EquationsSystems of EquationsFunction Evaluation
2025/4/20
The cost $c$ of producing $n$ bricks is the sum of a fixed amount $h$ and a variable amount $y$, whe...
Linear EquationsModelingDirect VariationWord Problem
2025/4/20
The problem is to solve the inequality $4 + \frac{3}{4}(x+2) \le \frac{3}{8}x + 1$.
InequalitiesLinear InequalitiesAlgebraic Manipulation
2025/4/20