Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

Solve the system of equations: $x^2 + y^2 = 5$ $y = 3x - 5$

Systems of EquationsQuadratic EquationsSubstitutionSolving Equations

We are given the following system of equations: $x^2 + y^2 = 29$ $3x^2 + 25y^2 = 100$ We need to sol...

Systems of EquationsSolving EquationsSquare RootsVariables

We are given a system of two equations with two variables, $x$ and $y$: $x - y = -1$ $-1 = x^2 + 1$ ...

Systems of EquationsComplex NumbersQuadratic EquationsVariables

We are given two equations: $x - y = -1$ $-1 = x^3 + 1$ We need to solve for $x$ and $y$.

Systems of EquationsCubic EquationsSolving EquationsCube Root

Solve the following system of equations: $x^2 + y^2 = 41$ $x^2 - y = 41$

Systems of EquationsSubstitutionQuadratic EquationsSolution Sets

We are given a system of two equations: $x^2 + y^2 = 5$ $y = 3x - 5$ We need to find the solutions $...

System of EquationsSubstitution MethodQuadratic EquationsSolving Equations

We are given a system of two equations: $x^2 + y^2 = 10$ $x^2 - y^2 = 10$ We need to find the values...

Systems of EquationsElimination MethodVariablesSolutions

The problem is to solve the equation $4x^2 - 3^2 = 10$ for $x$.

Quadratic EquationsSolving EquationsExponentsSquare Roots

Find the intersection points of the graphs of the equations $y = 2x^2 + 3x - 2$ and $y = 2x - 1$.

Quadratic EquationsSystems of EquationsIntersection of CurvesCoordinate Geometry

Suzi builds L shapes with blocks. An L shape that is 3 blocks high uses 7 blocks. We need to find ho...

Linear EquationsSequencesPattern RecognitionProblem Solving

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