Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks us to solve the system of equations: $x^2 + y^2 = 3$ $x^2 - y = 15$

Systems of EquationsComplex NumbersQuadratic EquationsSubstitutionAlgebraic Manipulation

Solve the equation $z + \overline{z} = 4$ for the complex number $z$.

Complex NumbersComplex ConjugateLinear Equations

The problem is to solve the following system of inequalities: $4x - 5y \ge 20$ $y < \frac{3}{2}x - 2...

InequalitiesSystems of InequalitiesLinear InequalitiesGraphingCoordinate PlaneSolution Region

The problem asks to graph the linear inequality $y \ge \frac{1}{3}x - 2$.

Linear InequalitiesGraphingSlope-intercept formCoordinate Geometry

The problem asks to solve the inequality $\frac{x+2}{4} > \frac{x}{3} + 2$ and then to graph the sol...

InequalitiesLinear InequalitiesSolving InequalitiesNumber Line

We are given a system of inequalities: $y \leq -2x + 6$ $x - y < 6$ We need to determine which of th...

InequalitiesSystems of InequalitiesLinear InequalitiesSolution Verification

We are asked to calculate the value of $G$ where $G = (1^2 \times 2^8 \times 3^{14} \times 4^{20} \t...

ExponentsPrime FactorizationRadicalsSimplification

The problem asks us to factor the expression $9x^2 - 16y^4$.

FactoringDifference of SquaresPolynomials

We are asked to solve the equation $4|2x-3| + 1 = 21$ for $x$. The equation involves an absolute val...

Absolute Value EquationsSolving Equations

Solve the absolute value equation: $25|-2x + 7| = 25$.

Absolute Value EquationsLinear EquationsSolving Equations

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