Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem is to solve the equation $x^2 = 3x$.
Quadratic EquationsSolving EquationsFactoring
2025/6/24
The problem asks to simplify the expression $3(x + 5) - x(x - 2)$.
Algebraic ExpressionsSimplificationPolynomials
2025/6/24
We are given 5 problems: 1. Simplify the expression $3(x+5) - x(x-2)$.
Algebraic SimplificationQuadratic EquationsSolving EquationsFactorizationFunctionsInverse Functions
2025/6/24
The problem consists of five questions. 1. Simplify $3(x+5) - x(x-2)$.
Algebraic SimplificationQuadratic EquationsSolving EquationsFactorizationFunction EvaluationInverse Functions
2025/6/24
The problem asks to graph the given quadratic functions and find the vertex and axis of symmetry for...
Quadratic FunctionsCompleting the SquareVertexAxis of SymmetryParabola
2025/6/24
The problem states that a sequence is defined by the formula $a_n = p + qn$. We are given that the s...
Linear EquationsSequencesArithmetic SequencesSystems of Equations
2025/6/24
The problem states that the twentieth term of the sequence $m, \frac{2}{3}m, \frac{1}{3}m, \dots$ is...
Arithmetic SequencesSequences and SeriesLinear Equations
2025/6/24
Find the number of natural numbers $a$ that satisfy the inequality $5 < \sqrt{a} < 6$.
InequalitiesSquare RootsNatural Numbers
2025/6/24
Simplify the expression $a^3 \times (-3a)^2$.
ExponentsSimplificationPolynomials
2025/6/24
The problem is to find the roots of the quadratic equation $x^2 + 9x + 14 = 0$.
Quadratic EquationsFactoringRoots
2025/6/23