Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem states that the sum of two consecutive whole numbers is $\frac{5}{6}$ of their product. ...
Word ProblemEquationsNumber PropertiesConsecutive Numbers
2025/4/29
The problem asks us to factorize the expression $x + y - ax - ay$. We need to choose the correct fac...
FactorizationAlgebraic ManipulationCommon Factors
2025/4/29
The problem consists of three parts: a) Simplify the algebraic expression $5(6 - ab) + 2(-7 + 3ab)$....
Algebraic ExpressionsLinear EquationsSlope-intercept formPercentageWord Problems
2025/4/29
The problem has two parts. (a) Simplify the expression $5(6 - ab) + 2(-7 + 3ab)$. (b) Given the equa...
SimplificationLinear EquationsGradientY-interceptAlgebraic Expressions
2025/4/29
The problem contains three sub-problems: a) Find the value of $y$ given the equation $11y = (18)^2 -...
EquationsCircle PerimeterFormula ManipulationSubstitution
2025/4/29
The problem asks us to determine the nature of the roots of the quadratic equation $x^2 - 7x + 3 = 0...
Quadratic EquationsDiscriminantRoots of Equations
2025/4/29
The problem is to solve the equation $\sqrt{x+8} + \sqrt{x+1} = 7$.
Radical EquationsSolving EquationsSquare Roots
2025/4/29
A trader sells yams of three sizes: Big, Medium, and Small. A big yam sells for GH₵12.00, three medi...
Linear EquationsWord ProblemsSystems of EquationsArithmetic
2025/4/29
The problem asks to solve the following equation for $x$: $[5x + (8 + 3x) - 19] - 1 = 1 - [-2x + (7x...
Linear EquationsEquation SolvingSimplification
2025/4/29
The problem gives the equation of a line as $3y = 12x - 6$. We are asked to find the gradient (slope...
Linear EquationsSlopeGradientAlgebraic Manipulation
2025/4/29