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Practise Using Algebraic Substitution with Squares and Square Roots

In this worksheet, students will substitute numbers into expressions containing squares and square roots.

'Practise Using Algebraic Substitution with Squares and Square Roots' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Substitute Numerical Values for Formulae/Expressions

Difficulty level:  

Worksheet Overview

When we substitute a number for a letter, we simply replace the letter with the number.

However, we must remember that 4b means 4 × b and 4b2 means 4 × b × b.

 

Example

Work out the value of the following expression when a = 4 and b = 9

3a2 - 7 - 2√b

 

Answer

3a2 - 7 - 2√b

3 × a × a - 7 - 2 × √b

3 × 4 × 4 - 7 - 2 × √9

= 48 - 7 - 2 × 3

= 48 - 7 - 6

35

 

Let's try some questions now. Remember that you can check back to this introduction at any point by clicking on the red button at the side of the screen.

 

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