Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We are given the equation $\frac{4}{x-2} + \frac{1}{2(x-2)} = \frac{3}{4(x-2)}$ and we need to solve...

EquationsRational EquationsSolving EquationsNo Solution

We are asked to solve the equation $\frac{4}{x-2} + \frac{1}{2} = \frac{3}{4}$ for $x$.

Algebraic EquationsSolving EquationsRational Expressions

We need to solve the equation $\frac{x+8}{6} + 3 = \frac{3x+8}{8}$ for $x$.

Linear EquationsSolving EquationsFractionsAlgebraic Manipulation

We are given the equation $\frac{p+5}{3} = 1 - p$ and asked to solve for $p$.

Linear EquationsSolving Equations

We are given the equation $\frac{8}{x+1} = \frac{4}{3}$ and we want to solve for $x$.

Linear EquationsSolving EquationsCross-Multiplication

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

ExponentsSimplificationAlgebraic ExpressionsQuotient Rule

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

PolynomialsGreatest Common Factor (GCF)Factoring

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

ExponentsSimplificationAlgebraic Expressions

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

ExponentsPower of a Power

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

ExponentsSimplificationProduct of Powers Rule

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