Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We are given the equation $\frac{2}{3}(x-2) = 2x - 8$ and asked to solve for $x$.

Linear EquationsSolving EquationsAlgebraic Manipulation
2025/3/12

The problem is to solve for $x$ in the equation $\frac{4}{3}(x-1) = 4x - \frac{10}{3}$.

Linear EquationsSolving EquationsFractions
2025/3/12

We are given data for two linear functions, Function A (in a table) and Function B (in a graph). We ...

Linear FunctionsSlopeEquations of LinesInteger Values
2025/3/12

The problem asks us to find the value of $y$ for the function $y = -\frac{1}{3}x^2 + 3$ when $x = 6$...

FunctionsQuadratic FunctionsSubstitutionEvaluation
2025/3/12

The problem asks to find the number line that represents the solution to the inequality $-3x + 7 \ge...

InequalitiesLinear InequalitiesNumber LineSolving Inequalities
2025/3/12

The problem asks us to find the equation of a line in the form $y = mx + b$ that passes through the ...

Linear EquationsSlopeY-interceptCoordinate Geometry
2025/3/12

The problem asks us to find the equation of a line in the form $y = mx + b$ that passes through the ...

Linear EquationsSlopeY-interceptCoordinate Geometry
2025/3/12

The problem asks us to find the equation of a line in the form $y = mx + b$, given that the line pas...

Linear EquationsSlopeY-interceptCoordinate Geometry
2025/3/12

The problem asks to select all expressions that are equivalent to $4^2 \cdot 4^{-7}$.

ExponentsSimplificationLaws of Exponents
2025/3/12

The problem asks to select all expressions that are equivalent to $4^2 \cdot 4^7$. The options given...

ExponentsLaws of ExponentsSimplification
2025/3/12