Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem states that the height of an equilateral triangle is $(x+3)$ cm and the side length is 4...

Area of a TriangleQuadratic EquationsGeometryProblem Solving
2025/4/25

Razman wants to sell a rectangular cake at a fair. The length and width of the cake are $(x+6)$ cm a...

AreaQuadratic EquationsFactorizationWord Problem
2025/4/25

The problem describes a box filled with 12 identical balls. The box has dimensions $3x + 3$ cm and $...

Quadratic EquationsGeometryWord ProblemsAreaFactorization
2025/4/25

The problem states that a box has a length of $(x+5)$ cm, a width of $x$ cm, and a height of 30 cm. ...

VolumeQuadratic EquationsWord ProblemFactorization
2025/4/25

Sofea bought $(8x + 14)$ textbooks with each textbook costing RM$5x$. She paid RM300 for all the tex...

Quadratic EquationsWord ProblemFactorizationEquation Solving
2025/4/25

The problem provides a quadratic function $f(x) = px^2 + 5x + q$ and its minimum point $(-2.5, -2.25...

Quadratic FunctionsVertex of a ParabolaAxis of SymmetryReflection
2025/4/25

The problem asks to solve the quadratic equation $\frac{3}{2x+1} = \frac{x}{x-2}$.

Quadratic EquationsComplex NumbersEquation Solving
2025/4/25

The problem is to solve the quadratic equation $x^2 + 3x = -2(-3-x)$.

Quadratic EquationsSolving EquationsFactoring
2025/4/25

We are given a rectangle with length $(x+7)$ cm and width $(x+2)$ cm. The area of the rectangle is g...

Quadratic EquationsAreaRectangleEquation Formation
2025/4/25

The problem is to simplify the expression: $\frac{2x-5}{x^2-1} + \frac{x^2-9}{x^2+3x-4} \times \frac...

Algebraic SimplificationRational ExpressionsFactorizationPolynomials
2025/4/25