Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
Given the function $f(x) = 3x - 2$, find its inverse function $f^{-1}(x)$.
Inverse FunctionsFunctionsAlgebraic Manipulation
2025/3/14
We are given the function $f(x) = -x^2 + 6x - 11$. We need to find the values of $f(2)$, $f(-10)$, $...
FunctionsPolynomialsFunction EvaluationSubstitution
2025/3/14
Given the function $f(x) = -x^2 + 6x - 11$, we need to find: (a) $f(2)$ (b) $f(-10)$ (c) $f(t)$ (d) ...
FunctionsPolynomialsSubstitutionEvaluation
2025/3/14
The problem asks us to select the three expressions that are equivalent to $6^2$.
ExponentsSimplificationOrder of Operations
2025/3/14
Simplify the expression $(\frac{2^5}{x^2})^4$.
ExponentsSimplificationPower of a Power Rule
2025/3/14
The problem asks to find the equivalent expression of $(3^2 \cdot 5)^3$.
ExponentsPower of a Product RulePower of a Power RuleSimplification
2025/3/14
We are asked to find the equivalent expression for $(x^4 \cdot y^4)^3$.
ExponentsPower of a ProductPower of a PowerSimplification
2025/3/14
The problem asks to expand the product of the binomial $(2 + 3w)$ and the trinomial $(w^2 + 6w + 9)$...
Polynomial ExpansionDistributive PropertyPolynomials
2025/3/14
We are asked to expand the product of two binomials, $(8 - 3a^2)(2a^2 + 6)$, and write the answer as...
PolynomialsBinomial ExpansionFOILStandard Form
2025/3/14
The problem requires us to expand the product of two polynomials: $(-r^2 + 3r - 7)(r^2 - 7)$. We nee...
PolynomialsExpansionDistributive PropertyAlgebraic Manipulation
2025/3/14