Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are asked to factor the quadratic $2x^2 + 12x + 16$ in two different ways, without starting from ...
Quadratic EquationsFactorizationAlgebraic Manipulation
2025/6/4
We are asked to solve the following quadratic equations: 5) $6m^2 + 12m - 48 = 0$ 6) $3x^2 - 15x - 1...
Quadratic EquationsFactoringSolving Equations
2025/6/4
We are asked to solve the quadratic equations in the image. Let's solve problem 5. The equation is $...
Quadratic EquationsFactoringSolving Equations
2025/6/4
The problem is to solve four equations: 1) $(6x+7)(x+1)=0$ 2) $7(n-4)(n-2)=0$ 3) $x^2+x-56=0$ 4) $x^...
Quadratic EquationsFactoringSolving EquationsRoots of Equations
2025/6/4
We are asked to solve the equation $(6x+7)(x+1) = 0$ for $x$.
Quadratic EquationsSolving EquationsLinear Equations
2025/6/4
We are asked to solve two separate problems. (a) Solve the equation $8^{-x^2+x} = 2^{5x-1}$ for $x$....
ExponentsLogarithmsQuadratic EquationsEquation SolvingLogarithm PropertiesFactorization
2025/6/4
We are given a piecewise function for $y$ in terms of $x$ and we are asked to find the value of $x$ ...
Piecewise FunctionsLinear EquationsSolving Equations
2025/6/4
The problem describes a new electricity charging system with an installation fee of K15. The first 2...
Piecewise FunctionsLinear EquationsWord ProblemModeling
2025/6/4
The problem describes a new electricity billing system. There is a fixed installation fee of K15. Fo...
Piecewise FunctionsLinear EquationsModelingWord Problem
2025/6/4
The problem consists of three sub-problems: (a) Solve the exponential equation $8^{-x^2 + x} = 2^{5x...
Exponential EquationsLogarithmic EquationsQuadratic EquationsLogarithm PropertiesEquation Solving
2025/6/4