Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem has two parts. Part (a) requires us to solve the equation $(\frac{2}{3})^{x+2} = (\frac{...
ExponentsEquationsGeometrySimilar Triangles
2025/6/3
The problem has three parts. (a) Complete the table of values for the quadratic equation $y = 2x^2 +...
Quadratic EquationsGraphingParabolaRootsVertex
2025/6/3
The sum of the ages of a woman and her daughter is 46 years. In 4 years, the ratio of the woman's ag...
Age ProblemsSystems of EquationsLinear EquationsWord Problems
2025/6/3
Masane went to a shop with $1425.00. He bought a shirt, a pair of shoes, and an electric iron. The c...
Linear EquationsWord ProblemSystem of Equations
2025/6/3
The length of a rectangle is 2 cm more than its width. The perimeter of this rectangle is 40 cm. Fin...
GeometryRectanglePerimeterAreaEquations
2025/6/3
The problem states that the difference between two numbers is 9256. Also, when one number is divided...
Linear EquationsSystems of EquationsWord Problems
2025/6/3
There are 60 workers in 3 brigades. The first and second brigades together have 39 workers. The thir...
Systems of EquationsWord ProblemLinear Equations
2025/6/3
The problem is to solve the quadratic equation $x^2 - 11x + 6 = 0$.
Quadratic EquationsQuadratic FormulaRoots
2025/6/3
We are asked to solve the equation $\frac{2}{3}(3x-5) - \frac{3}{5}(2x-3) = 3$ for $x$.
Linear EquationsEquation SolvingFractionsAlgebraic Manipulation
2025/6/3
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