Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The equation of a line is given as $13y - 5 = 2x$. The problem asks to find the y-intercept of this ...
Linear EquationsY-interceptSlope-intercept form
2025/4/30
The equation of a line is given as $2y = 7x - 5$. We need to find the gradient and the y-intercept o...
Linear EquationsSlope-intercept formGradientY-intercept
2025/4/30
We are given three sub-problems. a) Express $(\frac{13}{15} - \frac{7}{10})$ as a percentage. b) Fac...
FractionsPercentageFactorizationRatioLinear Equations
2025/4/29
Given that $a^2 = 9 + 4\sqrt{5}$, we need to: (a) Show that $a = \sqrt{5} + 2$. (b) Find the value o...
Algebraic ManipulationRadicalsExponentsBinomial TheoremSimplification
2025/4/29
The problem states that the mean of the numbers 2, 5, 2x, and 7 is less than or equal to 5. We need ...
InequalitiesMeanSolving Inequalities
2025/4/29
The problem asks us to find the value of $k$ such that $x^2 + kx + \frac{16}{9}$ is a perfect square...
Quadratic EquationsPerfect Square TrinomialsCompleting the Square
2025/4/29
The problem states that the sum of the roots of the equation $(x - p)(2x + 1) = 0$ is 1. We need to ...
Quadratic EquationsRoots of EquationsSolving Equations
2025/4/29
The problem provides a table of $x$ and $y$ values that satisfy the linear relation $y = mx + c$. We...
Linear EquationsSlope-Intercept FormSolving Equations
2025/4/29
The problem provides a table of $x$ and $y$ values that satisfy a linear equation of the form $y = m...
Linear EquationsSlope-intercept formCoordinate Geometry
2025/4/29
The problem states that the mean age of $R$ men in a club is 50 years. Two men, aged 55 and 63, leav...
Word ProblemAveragesEquationsMeanAge Problem
2025/4/29