Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to solve the exponential equation $3^{2-x} = \frac{1}{27}$ for $x$, without usin...
Exponential EquationsExponentsSolving Equations
2025/4/23
Two companies, SH and MG, consume electricity. Company SH consumes 165.8 kWh during peak hours and 7...
Linear EquationsSystems of EquationsWord ProblemAlgebraic Manipulation
2025/4/23
An enterprise SH consumed 165.8 kWh during peak hours and 77 kWh during off-peak hours for a total c...
Linear EquationsSystem of EquationsWord ProblemAlgebraic Manipulation
2025/4/23
We are given the equation $y = -x(x-1)(x+1)$ and a table of $x$ values. We need to find the correspo...
PolynomialsFunction EvaluationSubstitution
2025/4/23
We are asked to solve two equations. The first equation is $\frac{\log(35-x)}{\log(5-x)} = 3$. The s...
LogarithmsExponentsEquationsSolving EquationsCubic Equations
2025/4/23
The problem asks to solve the equation $\frac{\log(35-x^3)}{\log(5-x)} = 3$.
LogarithmsEquationsQuadratic EquationsExtraneous Solutions
2025/4/23
The problem describes the number of adoptions that occurred each week for three weeks. We are given:...
InequalitiesLinear EquationsWord Problems
2025/4/23
The problem asks us to find the slope of the given line and then find the equation of the line in st...
Linear EquationsSlopeStandard FormCoordinate Geometry
2025/4/23
The problem asks to graphically represent the solutions for the inequality $-\frac{2}{3}x > 20$.
InequalitiesLinear InequalitiesNumber LineGraphical Representation
2025/4/23
The problem asks to write an inequality that represents the phrase "the quotient of $x$ and $3$ is l...
InequalitiesLinear InequalitiesAlgebraic Expressions
2025/4/23