Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We need to solve the equation $123 + (3x - 9)^2 = 323$ for $x$.

Quadratic EquationsSolving EquationsSquare Roots
2025/4/19

Solve for $x$ in the equation $123 + (3x - 9)^2 = 323$.

Quadratic EquationsSolving EquationsSquare Roots
2025/4/18

The problem is to solve for $x$ in the equation $5|3-x|-51 = 4$.

Absolute Value EquationsSolving Equations
2025/4/18

The problem requires us to write a piecewise function that represents the monthly charge for electri...

Piecewise FunctionsLinear EquationsModeling
2025/4/18

The problem asks to find the piecewise function that represents the given graph. The graph consists ...

Piecewise FunctionsLinear EquationsCoordinate GeometrySlopePoint-Slope Form
2025/4/18

We are given a piecewise function: $f(x) = \begin{cases} x-1, & x < n \\ -x+4, & x \ge n \end{cases}...

Piecewise FunctionsRangeFunctionsInequalitiesFunction Analysis
2025/4/18

The problem asks us to find the x-intercept(s) and y-intercept(s) of the piecewise-defined function ...

FunctionsPiecewise FunctionsInterceptsGraphing
2025/4/18

We are given a piecewise-defined function in a graph. We need to express the function in function no...

Piecewise FunctionsLinear EquationsInterceptsFunction Notation
2025/4/18

The problem asks to describe the domain and range of the function represented by the given graph. Th...

FunctionsDomainRangeDiscrete FunctionsCoordinate Geometry
2025/4/18

The problem asks us to determine if the given function, represented by discrete points on a graph, i...

Linear FunctionsDomain and RangeDiscrete MathematicsFunctions
2025/4/18