Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem is to solve the linear equation $-2x - 6 = 8$ for $x$.
Linear EquationsSolving Equations
2025/6/2
The problem involves the quadratic function $y = x^2 - 2x - 1$. (a) (i) We need to find the value of...
Quadratic FunctionsGraphingCompleting the SquareRoots of Equations
2025/6/1
The problem provides the quadratic function $y = x^2 - 2x - 3$ and an incomplete table of values for...
Quadratic FunctionsGraphingAxis of SymmetryCompleting the Square
2025/6/1
The problem provides an incomplete table of values for the function $y = 3 - (x-2)^2$. The task invo...
Quadratic FunctionsParabolaGraphingAxis of SymmetryRootsVertex
2025/6/1
The problem provides a table of $x$ and $y$ values for the function $y=(x-2)^2 - a$. We are asked to...
Quadratic FunctionsParabolasVertexRootsInequalitiesApproximation
2025/6/1
The problem provides a table of $x$ and $y$ values related to the function $y = (x-2)^2 - a$. The ta...
Quadratic FunctionsFunction EvaluationSolving Equations
2025/6/1
The problem asks for the general formula to obtain the roots of a quadratic equation of the form $ax...
Quadratic EquationsQuadratic FormulaCompleting the SquareRoots of Equations
2025/6/1
The problem states that four times the perimeter of a regular pentagon plus 12 cm equals 132 cm. We ...
PerimeterLinear EquationsWord ProblemsGeometry
2025/6/1
A football field is 30 meters longer than it is wide, and its area is 7000 square meters. We need to...
Quadratic EquationsWord ProblemsAreaGeometry
2025/6/1
We are given a rectangle with width $x+2$ and height $x-5$. The area of the rectangle is 800 square ...
Quadratic EquationsGeometryAreaWord ProblemFactoring
2025/6/1