Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks to solve the quadratic equation $2x^2 - 7x + 3 = 0$.
Quadratic EquationsFactoringQuadratic FormulaRoots of Equations
2025/7/16
The image shows an L-shaped figure. The dimensions of the outer rectangle are given as $(2x+5)$ mete...
AreaRectanglePolynomialsExpansion
2025/7/16
We are given three problems to solve. Problem 5: Find four consecutive numbers that sum to 22. Probl...
Linear EquationsConsecutive NumbersWord Problems
2025/7/16
We are presented with three separate math problems. Let's define $x$ as the unknown number for each ...
Linear EquationsWord ProblemsEquation Solving
2025/7/16
The problem is to find the determinant of the given matrix: $ \begin{bmatrix} 1 & 3 & 2 \\ 0 & 4 & 3...
Linear AlgebraMatricesDeterminants
2025/7/15
The problem consists of five questions: 1. Find the percentage error in measured length, calculated...
Percentage ErrorLinear EquationsExponentsLogarithmsArithmetic ProgressionStatisticsMeanVarianceCalculusDefinite IntegralConeGeometry
2025/7/15
The problem consists of three parts: (a) incomplete Table 2.2 for $y = 2x^2 - 4x - 3$, (b) drawing t...
Quadratic EquationsGraphsCalculus (Gradient)Functions
2025/7/15
We are given several math problems. We need to find the determinant and inverse of matrices, solve a...
MatricesDeterminantsInverse MatricesQuadratic EquationsCompleting the SquareMeanGeometryAreaVolumeTrigonometry
2025/7/15
The problem asks to multiply the expression $36x$ by $63y$.
Algebraic ExpressionsMultiplicationVariables
2025/7/15
We are asked to expand and simplify the expression $(y+3)(y-4)(2y-1)$. We are also asked to make $x$...
Polynomial ExpansionSimplificationFormula ManipulationSolving for a Variable
2025/7/15