Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem is to solve the inequality $4 + \frac{3}{4}(x+2) \le \frac{3}{8}x + 1$.
InequalitiesLinear InequalitiesSolving Inequalities
2025/4/20
The problem describes a rectangle $PQRS$ with a square of side $x$ cut out from it. The dimensions o...
GeometryAreaQuadratic EquationsRectangleSquare
2025/4/20
The problem is to solve the quadratic equation $x^2 + x - 8 = 0$ using the quadratic formula.
Quadratic EquationsQuadratic FormulaRoots
2025/4/20
We are given a rectangular box with dimensions $(x-1)$, $(x-1)$, and $7$ feet. The volume of the box...
VolumeQuadratic EquationsSolving EquationsGeometry
2025/4/20
We are given the quadratic equation $4x(x-1) + 17 = 14$. We need to determine the type of solutions ...
Quadratic EquationsDiscriminantComplex NumbersEquation Solving
2025/4/20
The problem asks us to solve the equation $(7x - 3)^2 = 49$ using the square root property.
EquationsSquare Root PropertySolving Equations
2025/4/20
The problem is to solve the quadratic equation $x(x+10) = -43$ using the quadratic formula.
Quadratic EquationsComplex NumbersQuadratic Formula
2025/4/20
The problem asks us to solve the equation $x^2 = 4$ using the square root property. We need to simpl...
Quadratic EquationsSquare Root PropertySolving Equations
2025/4/20
The problem asks to write a quadratic equation in the standard form $ax^2 + bx + c = 0$ with the giv...
Quadratic EquationsRoots of EquationsFactoringPolynomials
2025/4/20
The problem asks to solve the quadratic equation $\frac{x^2}{4} - x = 15$ for $x$.
Quadratic EquationsSolving EquationsFactoring
2025/4/20