Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

Simplify the expression $\frac{7a^8}{7a}$ and express the answer using positive exponents.

ExponentsSimplificationAlgebraic ExpressionsQuotient Rule
2025/3/13

The problem asks us to find the greatest common factor (GCF) of the terms in the polynomial $4x^4 - ...

PolynomialsGreatest Common Factor (GCF)Factoring
2025/3/13

We are asked to simplify the expression $\frac{796^{58}}{796^4}$ and express the answer as a single ...

ExponentsSimplificationAlgebraic Expressions
2025/3/13

The problem asks to simplify the expression $(9^{12})^2$ and express the answer as the given base ra...

ExponentsPower of a Power
2025/3/13

The problem asks to simplify the expression $394^5 \cdot 394^8$ and express the answer as a single t...

ExponentsSimplificationProduct of Powers Rule
2025/3/13

We are asked to simplify the expression $736^{81} \cdot 736 \cdot 736^{27}$ and express the answer a...

ExponentsSimplificationAlgebraic Manipulation
2025/3/13

We are asked to simplify the expression $(2b^2c)(4bc)$ and express the answer using positive exponen...

PolynomialsExponentsSimplificationVariables
2025/3/13

The problem is to find the values of $x$ and $y$ given two equations: $\frac{2}{x} + \frac{3}{3y} = ...

Systems of EquationsLinear EquationsSolving EquationsRational Equations
2025/3/13

The problem describes a scenario where Ann Marie Jones is pricing train fares for a group trip to Ne...

Systems of EquationsLinear EquationsWord Problem
2025/3/13

We are asked to find the solution to the system of equations: $5s + 3t = 11$ (1) $9s - 6t = 16$ (2) ...

Systems of EquationsLinear EquationsElimination MethodSolution
2025/3/13