Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to find three consecutive integers whose sum is 57.
Linear EquationsInteger PropertiesConsecutive Integers
2025/5/12
The problem asks us to find three consecutive integers that sum up to 6.
Linear EquationsInteger PropertiesConsecutive Integers
2025/5/12
The problem asks to determine the parameters $p$ and $q$ for each quadratic equation, where the equa...
Quadratic EquationsEquation SolvingAlgebraic Manipulation
2025/5/12
We are asked to solve the given equations for their respective variables. The equations are: a) $x^2...
EquationsQuadratic EquationsSolving EquationsVariables
2025/5/12
The problem is to analyze the function $y = |x+2| - |2x-4|$. The solution involves finding the criti...
Absolute ValuePiecewise FunctionsFunction Analysis
2025/5/12
We need to solve two equations for real values of $x$. i. $\sqrt{x+2} + \sqrt{2x} = \sqrt{18-x}$ ii....
EquationsRadicalsQuadratic EquationsSolving EquationsDomain
2025/5/12
We are given the equation $\frac{x}{1+i} - \frac{y}{2-i} = \frac{1-5i}{3-2i}$ and we need to solve f...
Complex NumbersLinear EquationsSystems of Equations
2025/5/12
The ages of Michael, Flo, Ella, and Arlo are in the ratio 3:7:6:4. Their ages add up to 60 years. We...
Ratio and ProportionLinear EquationsAge Problems
2025/5/12
The problem describes the cost of hiring a canoe. There is a fixed cost of £6 and then a cost of £10...
Linear EquationsWord ProblemsModeling
2025/5/12
A taxi journey costs $£5$ up front, plus $£2$ for every mile traveled. We need to complete a table ...
Linear EquationsWord ProblemsModeling
2025/5/12