Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given a set of 8 linear equations in one variable, $x$. We need to solve each equation to fin...
Linear EquationsSolving EquationsSingle Variable
2025/6/23
We need to solve eight linear equations for $x$.
Linear EquationsSolving Equations
2025/6/23
We are asked to solve six linear equations for $x$.
Linear EquationsSolving Equations
2025/6/23
We are asked to solve four linear equations. 1. $x + 3(x + 1) = 2x$
Linear EquationsSolving Equations
2025/6/23
The problem is to solve the linear equation $x + 3(x + 1) = 2x$ for the variable $x$.
Linear EquationsSolving EquationsAlgebraic Manipulation
2025/6/23
The problem provides an incomplete table of values for the function $y = 4 - (x-1)^2$. Several tasks...
Quadratic FunctionsGraphingFunction AnalysisFactorization
2025/6/23
The problem provides an incomplete table of values for the function $y = x(x-2)-3$. We need to: (i) ...
Quadratic FunctionsGraphingParabolaRootsVertex
2025/6/23
Given points $O(0)$ and $A(1+i)$ in the complex plane, find the complex number $w$ which is the refl...
Complex NumbersGeometric TransformationsReflectionComplex Conjugate
2025/6/23
We need to calculate the value of $x$ given the angles around a point on a straight line. The angles...
Linear EquationsAngle PropertiesEquation Solving
2025/6/22
The problem is to solve for $t$ in the equation $6.63 = 15[1 - e^{-t/10}]$.
Exponential EquationsLogarithmsEquation Solving
2025/6/21