Pages: 994

2 - Functions and Equations## XLatest Additions

1036Algebra and functions : Factor Theorem : Visualise Factor Theorem 2

8187Exponentials and logs : Logarithms : Law: a log(b)=log(b

^{a})8186Exponentials and logs : Logarithms : Law: log(

^{a}/_{b})=log(a)-log(b)8184Exponentials and logs : Logarithms : Law: log(ab)=log(a)+log(b)

8127Algebra and Functions : Remainder theorem : Exam Question

8126Algebra and Functions : Solving equations : Exam Question

8063Algebra and Functions : Functions and inverses : Self Inverse O-Test

8061Coordinate geometry : Coordinates : Exam Question

8060Algebra and Functions : Reciprocal curves : y=1/(x+a) +b

8059Algebra and Functions : Domain and range : Exam Question

8048Exponentials and logs : Exponentials : The graph of a

^{x}8047Algebra and Functions : Transformations : Some More y=af(x) Examples

8042Algebra and Functions : Basics : Equation buster

8029Algebra and Functions : Functions and inverses : Exam Question

8011Algebra and Functions : Transformations : Exam Question

Domain and Range Introduction

Investigate Domain and Range

Domain and range

Domain and range 2

O-test 1

O-test 2

Randomised Exam Q 2006

Randomised Exam Q 2008

Randomised Exam Q 2009

Introduction

Match Composite Functions 2

Investigate Odd and Even Functions

Explore Composite Functions 2

Function notation

Evaluating

Values of functions

Values of functions 2

Values of functions 3

Values of functions 4

Composition 3

Composition 4

Composition 5

Composition 6

Composition 7

Composition 8

Composition 9

Composition 10

Even functions

Even functions 2

Even functions 3

Odd functions

Odd functions 2

Odd functions 3

O-test 3

O-test 4

O-test 5

True or false O-test 1

True or false O-test 2

O-test 6

Matching O-test 1

Matching O-test 2

Exam O-test

Exam timed O-test

Randomised Exam Q 2000

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Investigate Functions and Inverses

Example 6

Example 1

Example 3

Example 4

Example 5

Verify inverses

Inverses on a GDC

True or false

Self Inverse O-Test

O-test 1

Matching O-test

O-test 2

O-test 3

Exam O-test 1

Exam O-test 2

Exam O-test 3

Randomised Exam Q 2000

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Plot Quadratics (y=ax²+bx+c)

Investigate Quadratic Roots

Min and max

More on y=(x-a)²+b

y=c(x-a)(x-b)

Plot Quadratics (y=(x-a)(x-b))

Plot Quadratics (y=(x-a)²+b)

Basic shape

More on y=(x-a)(x-b)

Curve recognition

Axis of symmetry

Match Factors of Quadratic Curves

Curve recognition 3

Using a GDC

Quadratic curve quiz

True or false O-test 2

Plotting O-test 2

O-test 1

O-test 2

Observation O-test 1

Plotting O-test 1

Observation O-test 2

Timed O-test

True or false O-test 1

Randomised Exam Q 2008

Randomised Exam Q 2008

y=(x-a)(x-b)(x-c)

Solving ax³+bx²+cx+d=0

y=ax³+bx²+cx+d

Identify the coefficients

Form the cubic

Factorising 1

Factorising 2

Linear,quadratic,cubic

Cubics using a GDC

True or false

True or false 2

Observation O-test

Plotting O-test 1

Plotting O-test 2

O-test 1

O-test 2

Exam O-test

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More modulus graphs

y=m|x|+c

y=|f(x)| and y=f(|x|) 2

y=|f(x)| and y=f(|x|)

More modulus graphs 2

y=ax³+bx²+cx+d & y=f(|x|)

y=|ax³+bx²+cx+d|

y=|mx+c|

y=|mx+c|+b

y=|ax²+bx+c|

y=|m(x+c)|

Modulus equations 1

Modulus equations 2

Modulus equations 3

Modulus equations 4

Modulus equations 5

Modulus equations 6

Modulus equations 7

Modulus equations 8

Modulus equations 9

Plotting on a GDC

Modulus graph quiz

Plotting O-test 1

Plotting O-test 2

True or false O-test

O-test 1

O-test 2

Exam O-test

Randomised Exam Q 2000

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y=a/x

y=1/(x+a) +b

Symmetries

Plotting O-test

Exam O-test

Randomised Exam Q 2007

Quartics

Curve recognition

Other powers

Match Polynomial Curves

Curve recognition 2

Matching O-test

Introduction

More y=f(x+c) Examples

Spot the transformation 2

Spot the transformation 3

Spot the transformation 4

y=f(x)+d Practice

Cubic Graph Transformations

More y=af(x) Examples

More y=f(x-c) Examples

More y=f(x)+d Examples

More y=f(bx) Examples

The cubic graph

Spot the transformation

The Sine/Cosine Curves

Some More y=af(x) Examples

y=af(x) Practice

Investigate Transformations: y=f(x+c)+d

Investigate Transformations: y=af(bx)

Investigate Transformations: y=af(x)+d

Investigate Transformations: y=af(x+c)

Investigate Transformations: y=f(bx)+d

Investigate Transformations: y=f(bx+c)

y=f(x-c) Practice

y=f(bx) Practice

Describe the transformation

Describe the transformation 2

Describe the transformation 3

Describe the transformation 4

Describe the transformation 5

Construct the transformation

Construct the transformation 2

Construct the transformation 3

Order of Transformations 1

Order of Transformations 2

Symmetries

Symmetries 2

Transformations on a GDC

Transformations on a GDC

Matching O-test

O-test 1

O-test 2

O-test 3

O-test 4

O-test 5

O-test 6

O-test 7

O-test 8

O-test 9

O-test 10

O-test 11

O-test 12

Exam O-test 2

Exam O-test 3

Exam O-test 1

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Completing the square

Completing the square 3

By factorising

Completing the square 2

Using the formula

The discriminant

The discriminant 2

Using a GDC

Using a GDC 2

Using a GDC 3

True or false O-test

Timed O-test

O-test 1

O-test 2

O-test 3

Exam O-test 1

Exam O-test 3

Randomised Exam Q 2001

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Visualise Factor Theorem 1

Visualise Factor Theorem 2

Factor theorem 1

Factor theorem 2

Factor theorem 3

Factor theorem 4

Factor theorem 5

Factor theorem 7

Timed O-test

O-test 2

O-test 1

Exam O-test 1

Exam O-test 2

Exam timed O-test

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Remainder theorem 1

Dividing by (ax+b)

Remainder theorem 2

Remainder theorem 3

True or false O-test

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam timed O-test

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Introduction

Plotting inequalities

Investigate Quadratic Inequalities

Solving

Investigate Linear Inequalities

Describe the inequality

Solving 2

Solving quadratics

Solving quadratics 2

Solving quadratics 3

O-test 1

Timed O-test 2

O-test 2

Exam O-test 1

Exam O-test 2

Randomised Exam Q 2002

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Changing the subject 3

Equation buster

Simplifying 2

Simplifying expressions

Brackets

Brackets 2

Identities

Identities 2

Identities 3

Powers

Evaluating

Evaluating functions

Evaluating functions 2

Know your factors

Solving an equation

Solving an equation 2

Solving an equation 3

Solving an equation 4

Solving an equation 5

Solving an equation 6

Changing the subject

Changing the subject 2

Find the function

Basic algebra quiz

True or false O-test

Timed O-test 1

Timed O-test 4

Timed O-test 5

Vocabulary O-test

Timed O-test 2

Equation or identity O-test

Timed O-test 3

Matching O-test

O-test 1

Timed O-test 6

O-test 2

O-test 3

Randomised Exam Q 2006

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Equating Coeffs 1

Equating Coeffs 2

Equating Coeffs 3

Equating Coeffs 4

Equating Coeffs O-test 1

Equating Coeffs O-test 2

Introduction

Basics

The laws of indices

Simplifying indices

Simplifying indices 2

Simplifying indices 3

Evaluating indices

Solving equations

Solving equations 2

O-test 10

True or false O-test 1

True or false O-test 4

Sequence O-test 3

Sequence O-test 4

O-test 7

Timed O-test 6

O-test 8

O-test 9

Exam O-test 1

Exam O-test 2

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Long division 1

Long division 2

Long division 3

Avoiding long division

Avoiding long division 2

O-test

Factorising

Factorising 4

Expanding brackets

Expanding brackets 2

Expanding brackets 3

Practise

Factorising 2

Factorising 3

Factorising 5

Practise factorising

True or false O-test

Timed O-test

Matching O-test

Factorising O-test

Randomised Exam Q 2007

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Simplifying

Simplifying 2

Adding and subtracting

Multiplying and dividing

Adding and subtracting 2

Undefined functions

Quotient & remainder

Quotient & remainder 2

Quotient & remainder 3

Quotient & remainder 4

Quotient & remainder 5

True or false

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam timed O-test

Randomised Exam Q 2000

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Using a GDC

Using a GDC 2

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Simplifying surds

More simplifying

More simplifying 2

More simplifying 3

Multiplying surds 2

Multiplying surds

Rationalising the denominator

Rationalising the denominator 2

Rationalising the denominator 3

Sequence O-test 1

Sequence O-test 2

Method O-test

True or false O-test

O-test 1

O-test 2

O-test 3

O-test 4

O-test 5

Timed O-test

Exam O-test 1

Exam O-test 2

Exam O-test 3

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XTRA 1

Graph of e

^{x}Transformations

Transformations 2

The number e

Plotting O-test 1

Plotting O-test 2

Matching O-test 1

Randomised Exam Q 2010

Discrete growth

Discrete decay

Football crowds

Music fans

Continuous growth

Radioactive half-life

Radioactive half-life 2

Elephant population

Computer prices

Spread of infection

Investments

O-test

Exam O-test 1

Exam O-test 2

Exam timed O-test 2

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The solution of a

^{x}=bThe graph of a

^{x}The graph of a

^{x}2A joke

Solving with a GDC

Solving with a GDC 2

Solving equations 1

Solving equations 6

Solving equations 3

Graph of ln ax

Investigate Log Transformations

Match Composite Exp/Log Functions

Inverses

Graph of Log

_{10}and its TransformationsGraph of log ax 2

Law: log(

^{a}/_{b})=log(a)-log(b)Law: log(ab)=log(a)+log(b)

Law: a log(b)=log(b

^{a})Solving equations 2

Solving equations 4

Solving equations 5

Solving equations 7

Solving equations 8

Solving equations 9

Solving equations 10

Check the method

Solving on a GDC

Quiz

Plotting O-test 3

Plotting O-test 4

Matching O-test 2

O-test 1

O-test 2

Exam O-test 1

Exam O-test 2

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Equations 5

Inequations

O-test 1

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam timed O-test 1

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XTRA 1

Coordinates and points

Midpoint

Distance between 2 points

Midpoint 3

Midpoint 2

Midpoint 4

Distance between 2 points 2

Distance between 2 points 3

Sides of a triangle

Isosceles triangle

Isosceles triangle 2

Parallelogram

Observation O-test

Vocabulary O-test

Timed O-test

True or false O-test

O-test 1

O-test 2

O-test 3

O-test 4

Randomised Exam Q 2005

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Introduction

Linear denominator

Curve recognition

Asymptotes or not?

Quadratic denominator 3

Quadratic over quadratic 2

Quadratic over quadratic

Quadratic denominator

Linear denominator 2

Sketch the graph

Quadratic denominator 2

Using a GDC

Plotting O-test 1

Plotting O-test 2

Exam O-test

Randomised Exam Q 2000

The formulae

Memorise the formulae

Victorian sewer

Midpoint, length, gradient

Between two points

Find the gradient

Find the gradient 2

The gradient using tan t

Collinear points

Line between 2 points

True or false O-test

O-test 1

O-test 2

Timed O-test

Randomised Exam Q 2000

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Introduction

Plot y=mx+c

y-y

_{1}=m(x-x_{1})Match Lines (y=mx+c) to Points

Practise

ax+by+c=0

Straight line recognition 2

Finding equations

Finding perpendicular lines

The vertical wedge

Equations in intercept form

Straight line recognition 3

Axis intercepts

Perpendicular distance

Match Lines (y=mx+c)

Straight line recognition

Finding equations 2

Finding equations 3

Finding parallel lines

Finding parallel lines 2

Finding parallel lines 3

Parallel and perpendicular lines

Perpendicular gradients

Perpendicular gradients 2

Right angles

Finding perpendicular lines 2

Finding perpendicular lines 3

Finding perpendicular lines 4

Finding lines - the method

Analysis

Linear graph quiz

True or false

True or false 2

Quiz

Quiz 2

O-test 2

Observation O-test

O-test 1

O-test 3

O-test 4

Vocabulary O-test

True or false O-test 1

True or false O-test 2

Timed O-test

O-test 5

O-test 6

Exam O-test 1

Exam O-test 2

Exam O-test 3

Exam O-test 4

Exam O-test 5

Exam O-test 6

Exam O-test 7

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Altitudes

Perpendicular & altitude

Orthocentre 2

Centroid 2

Circumcentre 2

Circumcircle

Orthocentre

Centroid

Circumcentre

Perpendiculars

Medians

Investigate

Mindmap

Formulae

True or false: f(x+y)=f(x)+f(y)?