Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to simplify the expression $\frac{(x^2+5x+4)(x-1)}{(x^2-1)}$.
Algebraic SimplificationPolynomialsFactorizationRational Expressions
2025/6/6
We are asked to simplify the given rational expression: $\frac{x^2 - 5x + 6}{x - 3}$. This involves ...
Rational ExpressionsFactoringSimplificationAlgebraic Manipulation
2025/6/6
We are given the equation $x^5 - x^2 + 2x + 3 = 0$ and asked to show that it has at least one real r...
PolynomialsIntermediate Value TheoremRoot Finding
2025/6/6
We are given the inequality $|4x - 7| < -3$ and we need to find the solution for $x$.
Absolute ValueInequalitiesNo Solution
2025/6/6
We are given the equation $\frac{\sqrt{4^{3x+1}}}{\sqrt{4^{2x+1}}} = 2$ and we need to solve for $x$...
ExponentsEquationsSimplificationSolving for x
2025/6/6
The problem is to analyze the equation $x^3 + y^3 = 3y$. We are asked to solve this equation. Howeve...
Cubic EquationsEquation SolvingVariables
2025/6/6
We are given the equation $12x + d = 134$ and the value $x = 8$. We need to find the value of $d$.
Linear EquationsSolving EquationsSubstitution
2025/6/5
We are given a system of two linear equations with two variables, $x$ and $y$: $7x - 6y = 30$ $2x + ...
Linear EquationsSystem of EquationsElimination Method
2025/6/5
We are given two equations: 1. The cost of 1 rugby ball and 1 netball is $£11$.
Systems of EquationsLinear EquationsWord Problem
2025/6/5
The problem asks to solve a system of two linear equations using a given diagram: $y - 2x = 8$ $2x +...
Linear EquationsSystems of EquationsGraphical SolutionsIntersection of Lines
2025/6/5