Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
Expand the expression $(x+4)^2$.
Algebraic ExpansionBinomial TheoremPolynomials
2025/4/27
The problem provides the equation $y = x^2 - K$ and a table of $x$ and $y$ values that satisfy this ...
Quadratic EquationsParabolaVertexEquation Solving
2025/4/27
The problem asks to simplify the expression $\log_{5}5 + 1$.
LogarithmsSimplification
2025/4/27
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