Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks us to solve the equation $6.3x = 7.776$ for $x$ and provide the answer correct to 3...

Linear EquationsSolving EquationsDecimal ArithmeticRounding
2025/5/2

The problem asks us to find the value of $f(10^{-5})$ given that $f(x) = \log(x)$.

LogarithmsFunction EvaluationExponents
2025/5/2

The problem asks us to solve for $x$ in the equation $\ln(2x+5) = 2.3$ by writing the equation in ex...

LogarithmsExponential EquationsSolving EquationsApproximation
2025/5/2

Solve the equation $\log_2(x-1) = 2 - \log_2(x+2)$ for $x$. We need to find the value(s) of $x$ that...

Logarithmic EquationsQuadratic EquationsEquation SolvingDomain of Logarithms
2025/5/2

The problem provides two points on a linear function $f(x)$: $(3, 2)$ and $(5, 3)$. The goal is to d...

Linear FunctionsSlope-intercept formEquation of a line
2025/5/2

We need to find the solution of the system of equations: $x + \sqrt{y} = 1$ $x^2 + y = 25$

Systems of EquationsSubstitutionQuadratic EquationsSolving EquationsRadicals
2025/5/2

We are given two points representing the price ($p$) per camera and the quantity ($q$) of cameras su...

Linear EquationsSupply EquationSlopeY-intercept
2025/5/2

The problem is to solve the linear equation $x - 6 = 40$ for the variable $x$.

Linear EquationsSolving EquationsVariables
2025/5/2

The problem is to solve the equation $x - 6 = 40$ for $x$.

Linear EquationsSolving Equations
2025/5/2

The problem asks us to solve for $x$ in the logarithmic equation $\log_{64}(x) = -\frac{1}{2}$ by co...

LogarithmsExponentsEquation Solving
2025/5/1