Algebra and functions (P1)
1.1What the syllabus asks of you
- Laws of indices for all rational exponents.
- Use and manipulation of surds.
- Quadratic functions and their graphs.
- The discriminant of a quadratic function.
- Completing the square. Solution of quadratic equations.
- Solve simultaneous equations; analytical solution by substitution.
- Interpret linear and quadratic inequalities graphically.
- Represent linear and quadratic inequalities graphically.
- Solutions of linear and quadratic inequalities.
- Algebraic manipulation of polynomials, including expanding brackets and collecting like terms, factorisation.
- Graphs of functions; sketching curves defined by simple equations. Geometrical interpretation of algebraic solution of equations. Use of intersection points of graphs of functions to solve equations.
- Knowledge of the effect of simple transformations on the graph of y = f(x) as represented by y = af(x), y = f(x) + a, y = f(x + a), y = f(ax).
Read the notes first
Chapter 1: Quadratics
Drill this topic
All 49 questions on Algebra and functions (P1), untimed — answer on paper, then mark yourself against the mark scheme.
Make a worksheet
Choose the years and how many questions, then print it with the answers on separate pages.
49 questions
These are structured questions, answered in working rather than by picking an option, so they are not listed here one by one. The drill above puts each in front of you with its mark scheme to check against.