Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks for the slope of the line that is perpendicular to the line $3x + 12y = 6$.

Linear EquationsSlopePerpendicular LinesSlope-intercept form

The problem asks us to find the slope of the line passing through the points (3,4) and (4,2).

Linear EquationsSlopeCoordinate Geometry

The problem provides two functions, $f(x) = \sqrt{x-2}$ and $g(x) = x^2 - 1$. The goal is to find th...

Function CompositionFunctionsAlgebraic Manipulation

The problem requires us to simplify the expression $(a-5)(4+a)(3-2a)$ by first multiplying two of th...

PolynomialsExpansionSimplification

We need to find the equation of a line that passes through the point $(4, 5)$ and is parallel to the...

Linear EquationsSlopeParallel LinesPoint-Slope Form

The problem asks us to find the equation of a line that passes through the point $(4, 5)$ and is par...

Linear EquationsParallel LinesSlope-intercept formPoint-slope form

The problem is to determine the number of solutions and the solutions themselves for the quadratic e...

Quadratic EquationsComplex NumbersQuadratic FormulaDiscriminant

We are asked to find the equation of the line that passes through the point $(4, 5)$ and is parallel...

Linear EquationsParallel LinesPoint-Slope FormCoordinate Geometry

We need to find the equation of a line that passes through the point $(4, 5)$ and is parallel to the...

Linear EquationsParallel LinesSlope-intercept formCoordinate Geometry

We are asked to find the equation of a line that passes through the point $(4, 5)$ and is parallel t...

Linear EquationsParallel LinesSlope-intercept formCoordinate Geometry

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