Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given two equations to solve for $x$. The first equation is $3 - \frac{2x - 3}{3} = \frac{5 -...
Linear EquationsSolving EquationsFractions
2025/4/26
The problem asks to solve two equations. Equation 1: $5(n+2)-15 = 4-(2n-5)$ Equation 2: $2x+5=6x-3$
Linear EquationsSolving Equations
2025/4/26
The problem is to solve the following linear equation for $n$: $5(n+2) - 15 = 4 - (2n - 5)$
Linear EquationsEquation SolvingAlgebraic Manipulation
2025/4/26
A train passes a 40 m long bridge in 15 seconds and a watchman in 7 seconds. Find the length of the ...
Linear EquationsWord ProblemRate and Distance
2025/4/26
The problem asks to simplify the expression $\sin^2 x + \sin x \cos x$.
TrigonometryExpression SimplificationFactoring
2025/4/26
The problem is divided into two exercises. Exercise 1 deals with a linear function $f$ with a coeffi...
Linear FunctionsFunction EvaluationSolving Equations
2025/4/25
The image shows a set of math problems related to linear and affine functions. We need to solve a f...
Linear FunctionsAffine FunctionsFunction EvaluationSolving Equations
2025/4/25
The problem is about an affine function $g$ such that $g(0) = 3$ and $g(2) = 7$. We are asked to: 1....
Linear FunctionsFunction EvaluationLinear EquationsGraphing
2025/4/25
We are given a function $f$ and its graph $(D)$. We need to determine the nature of the function $f$...
Linear FunctionsAffine FunctionsGraphsSlopeFunction EvaluationSystems of Equations
2025/4/25
The problem is to solve the following equation for $x$: $\frac{2x+3}{2} = \frac{2x-3}{2x} + x$
Equation SolvingLinear EquationsFractionsVariable IsolationSolution Verification
2025/4/25