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Understand Algebraic Substitution with Squares and Square Roots

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

'Understand 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

Popular topics:   Algebra worksheets

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.



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

3a2 - 7 - 2√b



3a2 - 7 - 2b

= 3 × a × a - 7 - 2 × b

= 3 × 4 × 4 - 7 - 2 × √9

= 48 - 7 - 2 × 3

= 48 - 7 - 6

= 35


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