Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given two problems. (a) We are asked to find the value of $y$ in the equation $(y-1) \log_{10...
LogarithmsEquationsDistance-Rate-Time ProblemsLinear Equations
2025/6/3
We are asked to solve the equation $3x(x-2) + 4 = 6$ for $x$. This involves expanding the expression...
Quadratic EquationsQuadratic FormulaEquation SolvingAlgebraic Manipulation
2025/6/2
The problem asks to find the solution set of the given quadratic equations using the quadratic formu...
Quadratic EquationsQuadratic FormulaSolutions
2025/6/2
The problem asks to find the solution set of the given quadratic equations using the quadratic formu...
Quadratic EquationsQuadratic FormulaSolution Sets
2025/6/2
The problem provides a table of $x$ and $y$ values, where $y$ is a quadratic function of $x$. The t...
Quadratic FunctionsParabolaAxis of SymmetryTurning PointGraphingVertexFunction Analysis
2025/6/2
The problem provides an incomplete table of values for the quadratic function $y = x^2 - 4x + 1$. Th...
Quadratic FunctionsGraphingCompleting the SquareRootsInequalities
2025/6/2
The problem asks to solve the complex equation $2z - (1+i)\overline{z} = -1 + 5i$ for $z$.
Complex NumbersComplex ConjugateLinear EquationsSolving Equations
2025/6/2
We are asked to simplify the expression $A = (1 + \frac{5 - \sqrt{5}}{1 - \sqrt{5}})(1 + \frac{5 + \...
SimplificationRadicalsDifference of squares
2025/6/2
The function $h(x)$ is graphed. The task is to rewrite the points on the graph as ordered pairs, in ...
FunctionsGraphingOrdered PairsFunction Notation
2025/6/2
The problem asks us to find the value of the function $f(x)$ at $x = -2$, given the graph of the fun...
Function EvaluationGraph InterpretationFunction Value
2025/6/2