A-Level Maths Edexcel (9MA0)

1.2: Algebra and functions

#1.2.1

Laws of indices

Use laws of indices

—

Simplify zero index

—

Simplify negative indices

—

Simplify fractional indices

—

#1.2.2

—

Multiply and divide surds

—

Add and subtract surds

—

Expand brackets involving surds

—

Rationalise denominator of form a/√b

—

Rationalise denominator of form a/(b + √c)

—

#1.2.3

Quadratic functions

Solve quadratic equations by factorising

—

Solve quadratic equations using quadratic formula

—

Solve quadratic equations by completing the square

—

Solve quadratic equations by completing the square (a≠1)

—

Use quadratic functions and graphs

—

Use discriminant of a quadratic function

—

Form and solve quadratic models

—

Solve quadratic equations in a function of the unknown

—

#1.2.4

Simultaneous equations

Solve simultaneous equations (two linear)

—

Solve simultaneous equations (one linear and one quadratic)

—

Interpret simultaneous equations graphically

—

#1.2.5

Linear and quadratic inequalities

Solve linear inequalities

—

Solve quadratic inequalities

—

Represent inequalities graphically

—

#1.2.6

Simplify algebraic fractions

—

Perform algebraic long division (linear)

—

Factorise cubic polynomials

—

Use factor theorem

—

#1.2.7

Graphs of functions

Use intersection points of graphs to solve equations

—

Sketch cubic graphs

—

Sketch quartic graphs

—

Sketch reciprocal graphs

—

Use the modulus function

—

Sketch the graph of

y = |f(x)|

—

Sketch the graph of

y = f(|x|)

—

Solve linear modulus inequalities

—

#1.2.8

Composite and inverse functions

Understand composite functions

—

Understand inverse functions

—

State the domain and range of an inverse function

—

#1.2.9

Transformations of functions

Apply vertical translation of a graph

—

Apply horizontal translation of a graph

—

Apply vertical stretch of a graph

—

Apply horizontal stretch of a graph

—

Apply reflection in the x-axis

—

Apply reflection in the y-axis

—

Apply a sequence of transformations

—

#1.2.10

Partial fractions

Decompose into partial fractions with distinct linear factors

—

Decompose into partial fractions with repeated linear factors

—

Decompose improper algebraic fraction into partial fractions

—

#1.2.11

Use of functions in modelling

Use of functions in modelling

—

1.1

Proof

1.3

Coordinate geometry in the (x,y) plane

Back to the Topics page