Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks us to find the equation of a line that passes through the point $(2, 0)$ and has a ...

Linear EquationsPoint-Slope FormSlopeEquation of a Line

The problem is to solve the equation $F \times \frac{3}{5} = \frac{4}{10} \times [50 - \frac{4}{5}F]...

Linear EquationsEquation SolvingFractions

We need to solve the inequality $\frac{t-1}{4t+5} < \frac{t-3}{4t-3}$.

InequalitiesRational InequalitiesAlgebraic Manipulation

We are given a system of two linear equations with two variables $x$ and $y$, and a parameter $a$: $...

Linear EquationsDeterminantsCramer's RuleSystems of EquationsParameter

We are given a system of two linear equations with two variables $x$ and $y$, and a parameter $a$. T...

Linear EquationsDeterminantsSystems of EquationsMatrices

The problem asks to simplify the expression involving complex numbers: $0.5i^{12} + \frac{(3i+1)(i-3...

Complex NumbersComplex Number ArithmeticSimplificationConjugate

The problem asks us to find the equation of a line that passes through the point $(3, 3)$ and is per...

Linear EquationsSlopePerpendicular LinesPoint-Slope Form

The problem asks us to find the slope $m$ and $y$-intercept $b$ of the line given by the equation $4...

Linear EquationsSlope-Intercept FormEquation of a Line

A retired woman has $100,000 to invest. She wants to invest in two funds: one with a 9% annual yield...

Systems of EquationsLinear EquationsWord ProblemFinancial Mathematics

The problem asks to solve the equation $16x + \frac{4}{3}y = 15$ for $y$ in terms of $x$.

Linear EquationsSolving EquationsVariable Isolation

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