Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given a sequence $\{a_n\}$ with the first term $a_1 = 2$ and a recursive relation $a_{n+1} = ...
SequencesRecursive RelationsLinear Recurrence RelationsClosed-form Formula
2025/3/17
The problem is to simplify the expression $\frac{9(1+2x)}{2} - 3(3x - \frac{1}{2})$.
Algebraic simplificationExpressionsFractionsDistributive property
2025/3/17
Simplify the expression $x - \frac{x+1}{6}$.
Algebraic ExpressionsSimplificationFractionsCombining Like Terms
2025/3/17
Simplify the algebraic expression: $(-3a)^2 \times 2b \div \frac{6}{7}ab$.
Algebraic ExpressionsSimplificationExponentsDivisionMultiplication
2025/3/17
Simplify the expression $(-3ab)^2 \times 4a \div a^3b$.
Algebraic simplificationExponentsVariablesOrder of operations
2025/3/17
The problem is to simplify the expression $(x-3)^2 - (x+4)(x-4)$.
Algebraic SimplificationExpanding ExpressionsDifference of SquaresQuadratic Expressions
2025/3/17
We are asked to simplify the expression $(x+4)^2 + (3x+2)(x-8)$.
PolynomialsSimplificationExpansionAlgebraic Expressions
2025/3/17
The problem asks us to graph the solution set of the following system of inequalities and find the v...
Linear InequalitiesSystems of InequalitiesGraphingLinear EquationsVertices
2025/3/17
We are asked to graph the region determined by the following system of inequalities: $y \le 3x + 5$ ...
Linear InequalitiesSystems of InequalitiesGraphing
2025/3/17
The problem is to solve the given system of equations by graphing. The system of equations is: $3x -...
Systems of EquationsLinear EquationsGraphingSlope-Intercept Form
2025/3/17