Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem gives the equation $y = (\frac{pr}{m} - p^2r)^{-\frac{3}{2}}$. Part (a) asks to make $r...
Algebraic ManipulationSolving EquationsExponentsSubstitution
2025/4/27
(a) Given that $(7 - 2x)$, $9$, $(5x + 17)$ are consecutive terms of a Geometric Progression (G.P.) ...
Geometric ProgressionQuadratic EquationsRatio and Proportion
2025/4/27
The problem asks us to determine the domain of definition of the function $f_1(x) = x^2 + 3x - 5$.
FunctionsDomainPolynomials
2025/4/26
A father agrees to give his son 2000 tugriks for each day the son cleans the house and deduct 3000 t...
Linear EquationsSystems of EquationsWord Problem
2025/4/26
The age difference between a sister and a sibling is 8 years. Four years later, the sum of their age...
Word ProblemsLinear EquationsAge ProblemsSystems of Equations
2025/4/26
Maral has 6500 tugriks, and Herlen needs 6300 tugriks. They together still need 300 tugriks to buy t...
Word ProblemLinear EquationsProblem Solving
2025/4/26
We are given a linear function $g(x) = \frac{7}{2}x$ and a table. We need to complete the table with...
Linear FunctionsFunction EvaluationSolving Equations
2025/4/26
The problem has two parts. The first part deals with a linear function $f(x)$ represented by the lin...
Linear FunctionsFunction AnalysisTable CompletionEquation of a LineCoefficients
2025/4/26
The problem asks us to factor the given algebraic expressions. We will solve the first problem. The ...
FactoringAlgebraic ExpressionsGreatest Common Factor
2025/4/26
The image presents three different functions, and based on the text at the end of the image, it seem...
FunctionsDomainRational FunctionsPiecewise Functions
2025/4/26