Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

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

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

ExponentsSimplificationAlgebraic Expressions
2025/3/12

The problem asks us to identify which of the given relations are functions. A relation is a function...

FunctionsRelationsInput-OutputMapping
2025/3/12

We are given a system of two equations: $\frac{1}{2}x - 2 = y$ $2y - 8x = 10$ We need to determine w...

Systems of EquationsLinear EquationsSolution Verification
2025/3/12