Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given a system of two linear equations with two variables, $v$ and $w$: $2v + 6w = -36$ $5v +...
Linear EquationsSystems of EquationsElimination MethodSolving EquationsVariables
2025/3/12
The problem asks us to solve the following system of linear equations: $3x - y = 17$ $x + 4y = 10$
Linear EquationsSystem of EquationsElimination Method
2025/3/12
We are given a system of two equations: $-7x + 3y = -65$ $-7x + 10y = -135$ We need to find the equa...
Linear EquationsSystems of EquationsEquation ManipulationSubtraction
2025/3/12
The problem states that the cost to mail a package is $5.00. Noah has postcard stamps worth $0.34 ea...
Linear EquationsSolving EquationsWord ProblemsSystems of Equations
2025/3/12
The problem presents a system of equations: $y = 3x$ $y = 9x - 30$ It describes two different first ...
Systems of EquationsSubstitutionLinear Equations
2025/3/12
The problem is to expand the expression $(x-y)^2$.
Algebraic ExpansionBinomial TheoremPolynomials
2025/3/12
The problem asks us to evaluate three functions at $x=2$: a. $f(x) = \sqrt{3x-7}$ b. $f(x) = \frac{x...
Function EvaluationAbsolute ValueSquare RootUndefined Values
2025/3/12
We are given three problems to solve. 1) Identify which of the four given terms, $\frac{1}{\sqrt{3}}...
Irrational NumbersExponentsInequalitiesInteger PropertiesPrime Numbers
2025/3/12
The problem requires us to determine whether the given functions are linear or nonlinear. The functi...
Linear FunctionsNonlinear FunctionsFunction AnalysisSlope-intercept form
2025/3/12
We are given the equation $\frac{2}{3}(x-2) = 2x - 8$ and asked to solve for $x$.
Linear EquationsSolving EquationsAlgebraic Manipulation
2025/3/12