Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem requires us to find two points for each of the given linear equations, $y = 3x - 5$ and ...
Linear EquationsCoordinate GeometryGraphing
2025/3/12
The problem requires us to graph two lines: $y = 3x - 5$ and $y = -4x + 9$. We need to find two poi...
Linear EquationsCoordinate GeometryGraphingLinesPoints
2025/3/12
The problem asks to solve for $x$ in the equation $8(\frac{1}{2}x - 5) - 3 = 3(x + 15)$.
Linear EquationsSolving EquationsVariable Isolation
2025/3/12
The problem asks us to determine whether the given functions are linear or nonlinear. The functions ...
Linear FunctionsNonlinear FunctionsFunction AnalysisExponents
2025/3/12
The problem asks us to determine whether each of the given functions is linear or nonlinear. The fun...
Linear FunctionsNonlinear FunctionsFunction Analysis
2025/3/12
The problem asks to find the slope of the line that passes through the points in the given table. Th...
Linear EquationsSlopeCoordinate Geometry
2025/3/12
The problem provides the graph of a quadratic function $f(x) = x^2 + kx + p$. From the graph, we kn...
Quadratic EquationsGraphingX-interceptsVertexFunction Analysis
2025/3/12
We are given a system of two linear equations with two variables $x$ and $y$: $5x - 3y = 15$ $2x + y...
Linear EquationsSystems of EquationsSubstitution MethodSolving Equations
2025/3/12
The problem provides the graph of a quadratic function $f(x) = x^2 + bx + c$ and two points on the g...
Quadratic FunctionsFunction EvaluationCoordinate GeometrySolving Equations
2025/3/12
We are given a quadratic function $g(x) = ax^2 + bx + 1$. We are also given that $g(1) = 0$ and $g(2...
Quadratic FunctionsSystems of EquationsSubstitutionElimination
2025/3/12