Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to subtract two polynomials: $(7m^3 + 5m^2 - m + 2.3) - (-2m^3 + 9m + 3.3)$.
PolynomialsSubtractionCombining Like TermsAlgebraic Manipulation
2025/3/17
The problem asks to add the given polynomials: $(x^2+8x-2)+(-9x^2-4x+1)+(x^2-x-5)$. The final answer...
PolynomialsPolynomial AdditionSimplification
2025/3/17
The problem asks us to evaluate the polynomial function $h(x) = 2x^4 - x^3 + 2x^2 - 3x - 4$ at $x = ...
PolynomialsFunction EvaluationAlgebraic Manipulation
2025/3/17
The problem asks us to evaluate the polynomial function $p(x) = 3x^2 - 7x - 10$ at $x=3$, i.e., to f...
PolynomialsFunction EvaluationSubstitutionArithmetic Operations
2025/3/17
The problem asks to graph the solution of the following system of inequalities: $y \ge -2x$ $y \ge 4...
Linear InequalitiesSystems of InequalitiesGraphingCoordinate GeometryIntersection of Lines
2025/3/17
We are asked to solve the quadratic equation $3x^2 - 5x + 1 = 0$ for $x \in \mathbb{R}$, and we must...
Quadratic EquationsQuadratic FormulaApproximationReal Numbers
2025/3/17
The problem is to solve the system of inequalities: $5x + y > 6$ $x - 2y > 7$
InequalitiesSystems of InequalitiesLinear InequalitiesSolution SetsAlgebraic Manipulation
2025/3/17
The problem asks to solve a system of linear inequalities by graphing: $5x + y > 6$ $x - 2y > 7$ Als...
Linear InequalitiesGraphingSystems of InequalitiesCoordinate Geometry
2025/3/17
The problem requires us to use the given graph of the function $f(x) = x^2 - 3x - 4$ in the domain $...
Quadratic FunctionsGraphingFunction AnalysisX-interceptsVertexMinimum Value
2025/3/17
We need to solve the system of linear inequalities: $y \ge -2x$ $y \ge 3x + 4$
Linear InequalitiesSystems of InequalitiesIntersection PointCoordinate Geometry
2025/3/17