Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks to find the intersection points of the curve $y = 2x^2 + 3x - 2$ and the line $y = ...
Quadratic EquationsSystem of EquationsIntersection PointsFactoring
2025/4/27
The problem states that we have an arithmetic sequence $x, x+3, 3x+2$. We need to find the first 5 t...
Arithmetic SequencesSequences and SeriesLinear Equations
2025/4/27
The problem describes a matrix $B$ representing the number of frozen ready meals (F), packets of pas...
MatricesMatrix ElementsData Interpretation
2025/4/27
The problem presents the prices per kilogram for apples, pears, and bananas. Sean wants to buy 2 kg ...
Matrix MultiplicationLinear AlgebraWord Problem
2025/4/27
We are given a system of three linear equations with three unknowns: the cost of earrings ($e$), hea...
Linear AlgebraSystems of EquationsMatrix RepresentationMatrix InverseSolving Equations
2025/4/27
The problem provides a system of three linear equations with three unknowns ($e$, $h$, and $n$), rep...
Linear EquationsMatrix AlgebraInverse MatrixSystems of Equations
2025/4/27
The problem asks to simplify the following expression: $\frac{\frac{a}{a-3}}{1-\frac{a^2-2a}{a-3}} \...
Algebraic simplificationRational expressionsExpression manipulation
2025/4/27
Simplify the expression $\frac{\frac{a}{a-3}-1}{\frac{a-2}{a-3}}\cdot\frac{a}{a-3}$.
Algebraic SimplificationRational ExpressionsFractions
2025/4/27
We are asked to simplify the expression $(\frac{a-3}{a} - \frac{a-3}{a^2 - 2a})^{a-2} : \frac{a-3}{a...
Algebraic SimplificationExponentsRational Expressions
2025/4/27
The problem asks us to fill in the blanks to form a matrix equation that can be used to calculate th...
Linear AlgebraMatrix EquationsSystems of EquationsWord Problem
2025/4/27