Algebra

Substitution

Next example

Previous example Easy Medium Hard

Graded exercises

Easy 1

Easy 2

Medium 1

Medium 2

Hard 1

Hard 2

© Rosemary Vellar

Instructions for use There are 6 worked examples shown in this PowerPoint

plus additional exercises (linked to word documents).

A red dot will appear top right of screen to proceed to the next slide.

You can either click on the navigation bar to the left of screen to go straight to one of the worked examples or use the buttons below.

Next example

Previous example Easy Medium Hard

Graded exercises

Easy 1

Easy 2

Medium 1

Medium 2

Hard 1

Hard 2

© Rosemary Vellar

QuestionSubstitute x = 5 into the expression x + 4

MethodStep 1Write down the expression x + 4 x + 4

= 5 + 4Step 2Substitute the value given for x in the question

Step 3Simplify your answer. = 9

Next example

Previous example Easy Medium Hard

Graded exercises

Easy 1

Easy 2

Medium 1

Medium 2

Hard 1

Hard 2

© Rosemary Vellar

QuestionSubstitute x = 3 into the expression 2x + 1

MethodStep 1Write down the expression 2 x + 1 2 x + 1

= 2 3 + 1Step 2Substitute the value given for x in the question.

Step 3Simplify your answer.

= 6 + 1

= 7

Remember that 2x means

2 x

Next example

Previous example Easy Medium Hard

Graded exercises

Easy 1

Easy 2

Medium 1

Medium 2

Hard 1

Hard 2

© Rosemary Vellar

QuestionSubstitute x = 4 into the expression x2 2

MethodStep 1Write down the expression x2 2 x2 2

Step 2Substitute the value given for x in the question.

= 42 2

Step 3Simplify your answer.

= 16 2

= 14

Remember that 42 means

4 4

Next example

Previous example Easy Medium Hard

Graded exercises

Easy 1

Easy 2

Medium 1

Medium 2

Hard 1

Hard 2

© Rosemary Vellar

QuestionIf p = 2 and q = 4 find the value of q 3p

MethodStep 1Write down the expression q 3p q 3 p

Step 2Substitute the value given for each pronumeral q and p = 4 3 2

Step 3Simplify your answer.

= 4 6

= 2

Remember the order of operations.

Next example

Previous example Easy Medium Hard

Graded exercises

Easy 1

Easy 2

Medium 1

Medium 2

Hard 1

Hard 2

© Rosemary Vellar

QuestionIf p = 2 and r = 5, evaluate the expression r(2r – p)

MethodStep 1Write down the expressionStep 2Substitute the value given for each pronumeral p and rStep 3Simplify your answer.

r (2 r p)

= 5 (2 5 2)

= 5 (10 2)

= 5 8

= 40

Next example

Previous example Easy Medium Hard

Graded exercises

Easy 1

Easy 2

Medium 1

Medium 2

Hard 1

Hard 2

© Rosemary Vellar

Question If x = 3, y = 4 and z = 2, evaluate

MethodStep 1Write down the expression

Step 2Substitute the value given for each pronumeral x, y and z

Step 3Simplify your answer.

342

x

yz

23

6342

xyz

Next example

Previous example Easy Medium Hard

Graded exercises

Easy 1

Easy 2

Medium 1

Medium 2

Hard 1

Hard 2

© Rosemary Vellar

Last slide

Use the navigation buttons to repeat selected slides or to go

to the graded exercises