🏅 Top 10 in the last 30 days
No results yet. Be the first!
Test
Linear relationships and graphs
Dynamic tasks on y = kx + b values, coefficients, points, graph properties and practical tariff models.
Questions: 10Estimated time: 21 minutes
Time left: 00:00:00
Best results on this test
Top 10 registered students. Only each student’s best result in the period counts.
Sample questions
- Given y = ___x + (___), find y when x = ___.
- The line has equation y = ___x + (___). What is its slope?
- The line has equation y = ___x + (___). At which point does it cross the y-axis?
- Is y = ___x + (___) increasing or decreasing?
- Does the point (___, ___) lie on y = ___x + (___)?
Linear relationships and graphs
The equation y = kx + b describes a straight line. The coefficient k is the change in y when x increases by one, while b is the y-intercept. The function increases when k is positive and decreases when k is negative.
Equation, table and context
A point lies on the graph if its coordinates make the equation true. Two points are enough to draw a line. In practical models, b often represents a fixed charge and k a price per unit; distinguish the constant and variable parts of the wording.
Related mathematics tests
The Pythagorean theorem
Dynamic tasks on legs, hypotenuse, rectangle diagonals, coordinate distance and practical applications.
Monomials and polynomials
Dynamic tasks on like terms, polynomial operations, degree, evaluation and algebraic vocabulary.
Algebraic identities and factorisation
Dynamic tasks on square identities, difference of squares, common factors and polynomial factorisation.
Mathematics Olympiad Preparation
Dynamic Grade 8 olympiad-style problems on number properties, logic, fractions, counting and geometry. New values and diagrams are generated for every attempt.
