Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to find the solution set of two quadratic equations using the quadratic formula....
Quadratic EquationsQuadratic FormulaSolution Sets
2025/6/1
The problem is to eliminate the cross-product term in the equation $x^2 + xy + y^2 = 6$ by rotating ...
Conic SectionsRotation of AxesEllipsesCoordinate Geometry
2025/6/1
The area of a rectangular rubber coating for a flat roof is 96 square feet. The length of the rectan...
Word ProblemQuadratic EquationsAreaRectangleDimensions
2025/6/1
We are given a number line with three points labeled A, 5, and B. The distance from A to 5 is +6, an...
Linear EquationsNumber LineDistance
2025/6/1
The problem asks us to find the complex roots $z$ of the quadratic equation $z^2 + (1 - 2i)z + (5 + ...
Quadratic EquationsComplex NumbersRoots of Equations
2025/6/1
We are asked to solve the quadratic equation $z^2 + (1-2i)z + (5+i) = 0$ for $z \in \mathbb{C}$.
Quadratic EquationsComplex NumbersRoots
2025/5/31
The image presents the quadratic equation $y = x^2 - 4x + 3$ as an example.
Quadratic EquationsParabolaRootsVertexY-interceptFactoring
2025/5/31
We are asked to solve for $x$ in the equation $2x^2 - 7x + 5 = \frac{x^2+3x-4}{2}$.
Quadratic EquationsEquation SolvingFactoring
2025/5/31
The problem asks us to select the expressions that are equivalent to $8(5b)$.
Algebraic ExpressionsSimplificationEquivalence
2025/5/31
The problem asks us to select the expressions that are equivalent to $6m + 5m$.
SimplificationCombining Like TermsAlgebraic ExpressionsCommutative Property
2025/5/31