Coordinate geometry in the (x, y) plane notes
This document contains notes for coordinate geometry in the (x, y) plane. They should be helpful while working with coordinate geometry in the (x, y) plane.
Category: Algebra
Equations and inequalities notes
This document contains notes for equations and inequalities. They should be very useful while working with equations and inequalities.
Quadratic functions notes
This document contains notes for quadratic functions. They should be very useful when working with quadratic functions.
Sequences and series notes
Below are some sequences and series notes. They should help when working with sequences and series. A series of numbers following a set rule is called a sequence. …is an example of a sequence...
Sketching curves notes
This document contains sketching curves notes. Below are some of the standard graphs that you should be able to recognise. Transforms …is a translation of –a in the x-direction. …is a translation of +a...
Algebra and functions notes
Here are a few notes that are useful when working with algebraic expressions and functions. Remember you simplify an expression by collecting like terms You can also simplify expressions by using rules of indices...
Equation of a line
This chapter explores equation of a line. It covers understanding that y – y = m(x = x1) is the equation of a straight line, finding the equation of a line using gradient and...
Solving Equations With Algebraic Fractions
This article explores solving equations with algebraic fractions. It covers understanding how to solve equations involving fractions, working with denominators with either constants or linear factors. Before attempting this chapter you must have prior...
Sketching polynomials
This chapter explores sketching polynomials. It covers general shapes of quadratics, cubics and identifying the maximum number of turning points, roots and intercepts, and linking to factorised forms for example f(x) = (x-a)(x-b)(x-c). Before...
Sketching Quadratic Graphs 1
This chapter explores sketching quadratics. This is the first part. It covers sketching quadratics of the form f(x) = x2 + bx + c, sketching quadratics of the form f(x) = (x + p)2...