Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem contains three parts: (a) Evaluate $(0.004592)^{\frac{1}{3}}$ using logarithm tables. (b...

LogarithmsExponentsSystems of Linear EquationsAlgebraic ManipulationAntilogarithms
2025/4/21

The problem asks us to divide the expression $2a^{9/5}b^4 - a^{7/3}b^4 - a^3b^2$ by $5ab$.

PolynomialsExponentsSimplificationAlgebraic Manipulation
2025/4/21

The problem consists of two parts. Part (a): Simplify the expression $\frac{3\frac{1}{12} + \frac{7}...

FractionsSimplificationSolving EquationsSubject of FormulaSquare RootsSignificant Figures
2025/4/21

The problem is to divide the polynomial $ -\frac{3}{4}x^{n-1}y^{n+2} + \frac{1}{8}x^{n+1} - \frac{2}...

Polynomial DivisionExponentsAlgebraic Manipulation
2025/4/21

The problem asks us to divide the polynomial $27x^2y - 9xy^2 + 6x^2y^2$ by $-3xy$.

Polynomial DivisionAlgebraic ManipulationSimplification
2025/4/21

The problem is to divide the polynomial $88x^5 + 66x^3 - 52x^2$ by $-2x^2$.

Polynomial DivisionAlgebraic Manipulation
2025/4/21

The problem has two parts: (a) Simplify the expression $\frac{x^2 - 8x + 16}{x^2 - 7x + 12}$. (b) Gi...

Algebraic SimplificationArithmetic ProgressionFactorizationEquations
2025/4/21

The problem has two parts: (a) Evaluate the expression $(3.69 \times 10^5) \div (1.64 \times 10^{-3}...

Scientific NotationArithmetic OperationsSimple InterestPercentage
2025/4/21

The problem asks us to solve the following equations: a) $5x - 3 = -17$ b) $7x + 6 = -2x - 48$ c) $5...

Linear EquationsSolving EquationsVariable Isolation
2025/4/21

The problem consists of two parts: (b) Determine the relationship between $x$ and $y$ given a table ...

ProportionalityInverse ProportionalityDirect ProportionalityVariables
2025/4/21