Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks whether Neil made a mistake in simplifying the expression $\frac{5^{-6}}{5^{-4}}$. ...
ExponentsSimplificationAlgebraic Manipulation
2025/3/14
We are asked to find the equivalent expression of $\left(\frac{8^{-5}}{2^{-2}}\right)^{-4}$.
ExponentsSimplificationAlgebraic ManipulationLaws of Exponents
2025/3/14
The problem asks to find an equivalent expression for $4^{-3}$.
ExponentsNegative ExponentsSimplificationAlgebraic Manipulation
2025/3/14
Natalie is trying to evaluate the expression $(4^{-3} \cdot 2^{-3})^0$. The steps taken are shown an...
ExponentsOrder of OperationsExponent Rules
2025/3/14
The problem asks us to simplify the expression $(5^4 \cdot 6^{-10})^{-6}$. We must choose the equiva...
ExponentsSimplificationPower of a ProductPower of a PowerFractional Exponents
2025/3/14
The problem asks us to find two expressions that are equivalent to $7 \cdot 7 \cdot 7 \cdot 7 \cdot ...
ExponentsLaws of ExponentsSimplification
2025/3/14
We are given the equation $|3x - 4| - 2 = 3$ and asked to solve for $x$.
Absolute Value EquationsSolving Equations
2025/3/14
The problem asks us to draw the graph of the quadratic function $y = x^2 - 6x + 4$ for $0 \le x \le ...
Quadratic FunctionsGraphingParabolaVertex Form
2025/3/14
The problem asks to find the range of the quadratic function $y = x^2 - 6x + 4$ when $2 \le x \le 6$...
Quadratic FunctionsRange of a FunctionCompleting the SquareVertex FormParabola
2025/3/14
The problem is to solve the following system of equations: $2x + 8y = 120$ $x = 60 - 4y$
Systems of EquationsLinear EquationsSubstitutionInfinite Solutions
2025/3/14