Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to evaluate four expressions: 1. $log_5 0.2$
LogarithmsExponentsProperties of LogarithmsProperties of Exponents
2025/4/22
The problem presents three logarithmic equations: 1. $\log_4 x = 2$
LogarithmsExponential EquationsEquation Solving
2025/4/22
Solve for $x$ in the equation $(16x^6)^{\frac{1}{2}} = x$.
EquationsExponentsRadicalsFactoringSolving Equations
2025/4/22
We need to simplify the expression $(16x^6)^{\frac{1}{2}}$.
ExponentsSimplificationRadicalsPower of a Product RulePower of a Power Rule
2025/4/22
The problem states that the quadratic equation $ax^2 + bx + c = 0$ has a discriminant $b^2 - 4ac = -...
Quadratic EquationsDiscriminantComplex NumbersRoots of Equations
2025/4/22
We are asked to solve the equation $125^{2-3x} = 5^{-3}$ for $x$.
ExponentsEquationsSolving Equations
2025/4/21
The problem asks us to evaluate the function $F(x) = x^2 + 3x - 9$ at $x = -2$ and $x = -5$, and the...
Polynomial EvaluationFunctions
2025/4/21
The problem is to find the Least Common Denominator (LCD) of two rational expressions: $\frac{7x}{18...
Rational ExpressionsLeast Common Denominator (LCD)LCMPolynomials
2025/4/21
Find the least common denominator (LCD) of the following rational expressions: $\frac{7x}{18(2x+y)^4...
Rational ExpressionsLeast Common Denominator (LCD)Algebraic ManipulationPolynomials
2025/4/21
The problem asks us to graph the function $f(x) = \frac{3}{4}x + 5$. This is a linear function in th...
Linear FunctionsGraphingSlope-intercept form
2025/4/21