Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We have six problems to solve: 1. Round the number 689,653 to three significant figures.

RoundingNumber BasesSimplifying RadicalsLogarithmsQuadratic EquationsFactorizationInverse Variation
2025/6/3

The problem asks to solve a system of two linear equations for $m$ and $n$: $3m - n = 5$ $m + 2n = -...

Linear EquationsSystems of EquationsSubstitution Method
2025/6/3

We are given a system of two linear equations with two variables, $x$ and $y$: $4x + y = 1$ $2x + 3y...

Linear EquationsSystems of EquationsSubstitution Method
2025/6/3

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