Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We need to solve the equation $\frac{3(x-1)}{4} - 2 = 5x - \frac{x-2}{2}$ for $x$.
Linear EquationsSolving EquationsSimplification
2025/5/4
We are asked to solve for $x$ and $y$ in several equations involving complex numbers.
Complex NumbersComplex Number EquationsComplex ConjugateEquation Solving
2025/5/4
The problem is to solve the exponential equation $6^{2x} = 18$ for $x$.
Exponential EquationsLogarithmsEquation Solving
2025/5/4
The problem asks to express the given complex numbers in the form $a + bi$, where $a$ and $b$ are ra...
Complex NumbersRationalizationComplex Conjugate
2025/5/4
We are asked to solve the equation $15 \cdot 2^x = 10 \cdot 3^x$ for the value of $x$.
Exponential EquationsExponentsEquation Solving
2025/5/4
We are asked to solve the equation $2^x + 2^x = 64$ for $x$.
ExponentsEquationsExponential EquationsSolving Equations
2025/5/4
The problem asks us to identify the coefficients $a$, $b$, and $c$ of quadratic functions and then c...
Quadratic FunctionsVertexCoefficientsStandard Form
2025/5/4
The problem asks us to graphically determine the number of solutions to the equation $f(x) = 0$ and ...
Quadratic EquationsRoots of EquationsIntervalsFactoringQuadratic Formula
2025/5/4
We are asked to evaluate the expression $(-2)^4 \div (-2)^3$.
ExponentsExponent RulesOrder of Operations
2025/5/4
The problem is to evaluate the expression $(-3)^8 \div (-3)^5$.
ExponentsAlgebraic simplification
2025/5/4