Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

Simplify the expression $\frac{4^{x+1} \times 8^{2x}}{2^{x+3}}$.

ExponentsSimplificationAlgebraic Manipulation

We are asked to simplify the expression $\frac{4^{x+1} \times 8^{2x}}{2^{x+3}}$.

ExponentsSimplificationAlgebraic Manipulation

We are given a system of two linear equations with two variables, $x$ and $y$. The system is: $\frac...

Linear EquationsSystems of EquationsSolving Equations

The problem is to solve for $x$ and $y$ in the equation $\frac{1}{2}x + \frac{3}{4}y = 5$. However,...

Linear EquationsSolving EquationsSystems of EquationsVariable Isolation

The problem is to solve the equation $\frac{3}{5x+6} = \frac{5}{5x-10}$ for $x$.

Linear EquationsEquation SolvingAlgebraic Manipulation

The problem asks to simplify the expression $\frac{4^{x+1} \times 8^{2x}}{2^{x+3}}$.

ExponentsSimplificationAlgebraic Manipulation

Solve the inequality $-4 > (x-5)(x+5) - (x-3)^2$ for $x$.

InequalitiesQuadratic ExpressionsAlgebraic Manipulation

We are asked to solve the equation $3^{x+2} - 6 \cdot 3^x + 5 \cdot 3^{x-2} = 0$ for $x$.

ExponentsEquationsExponential EquationsNo Solution

We need to solve the equation: $3^{x+2} - 6 \cdot 3^x + 5 \cdot 3^{x-2} = 0$ for $x$.

Exponential EquationsExponent RulesSolving Equations

We are asked to simplify the expression $3^{x+2} - 6 \times 3^x + 5 \times 3^{x-2}$.

ExponentsSimplificationAlgebraic Manipulation

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