Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to solve the following system of linear equations for $x$ and $y$ using Cramer's...
Linear EquationsCramer's RuleDeterminantsSystems of Equations
2025/5/26
The problem asks us to solve the equation $\frac{4a^2}{3x+3} + \frac{3a+3}{x^2-1} = \frac{2a^2}{3x^2...
EquationsRational ExpressionsInequalitiesSolving Equations
2025/5/26
The problem is to solve a system of two linear equations with two variables, $x$ and $y$, using Cram...
Linear EquationsCramer's RuleDeterminantsSystems of EquationsSolving Equations
2025/5/26
The problem asks us to expand the expression $(x - y - 3)(x - y + 7)$.
Polynomial ExpansionAlgebraic ManipulationSubstitutionFOIL
2025/5/26
We are asked to solve the following system of linear equations: $3x - 4y = 23$ $2x + y = 8$
Linear EquationsSystems of EquationsSubstitution MethodEquation Solving
2025/5/26
Solve the inequality $\frac{x-1}{x-2} \le \frac{3}{2}$.
InequalitiesRational ExpressionsInterval Notation
2025/5/26
Prove that the product of two consecutive odd numbers is equal to the square of the even number betw...
Number TheoryAlgebraic ProofInteger Properties
2025/5/26
Prove what kind of number you get when you add 1 to the product of two consecutive odd numbers.
Number TheoryInteger PropertiesAlgebraic ManipulationProofConsecutive Odd NumbersPerfect Squares
2025/5/26
The problem asks us to solve the equation for $x$: $\frac{4a^2}{3x+3} + \frac{3a+3}{x^2-1} = \frac{2...
EquationsRational EquationsInequalitiesAlgebraic ManipulationSolving Equations
2025/5/26
We are asked to solve the following system of linear equations using Cramer's rule: $(1+2k)x + 5y = ...
Linear EquationsCramer's RuleDeterminantsSystem of Equations
2025/5/26