Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem describes a rectangle where the length is $x$ cm. The width is $x/2 + 3$ cm. The area of...

Quadratic EquationsWord ProblemAreaRectangleFactoring
2025/4/28

The problem provides the equation $y = x(x+3)(x-2)^2$ and its graph. The task is likely to analyze ...

Polynomial FunctionsRootsMultiplicity of RootsGraphing
2025/4/28

The problem appears to be about solving for $y$ in terms of $x$ and constants $a$ and $b$. The given...

EquationsVariablesQuadraticFunctions
2025/4/28

The problem asks to simplify the expression $y = \frac{x(2x-3)}{x}$.

SimplificationAlgebraic ExpressionsVariables
2025/4/28

The problem presents a linear equation: $y = -3x + 6$. We are likely being asked to find some prope...

Linear EquationsSlope-intercept formX-interceptY-interceptCoordinate Geometry
2025/4/28

The image shows the calculation of the equation of a line that passes through the point $P(-1, 2)$ a...

Linear EquationsSystems of EquationsIntersection Points
2025/4/28

The image presents several problems. We will solve the first problem: "Determine the point of inters...

Linear EquationsSystems of EquationsIntersection of LinesSolving Equations
2025/4/28

The problem asks us to perform several tasks. First, we need to find the intersection points of pai...

Linear EquationsSystems of EquationsIntersection PointsAlgebraic Manipulation
2025/4/28

The image presents several math problems: finding the intersection point of pairs of lines and findi...

Linear EquationsSystems of EquationsIntersection of LinesCoordinate Geometry
2025/4/28

The problem asks us to expand the expression $(4a - 3b)^2$.

Algebraic ExpansionBinomial TheoremPolynomials
2025/4/27