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Algebra: Substitution with Squares and Square Roots (2)

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

'Algebra: Substitution with Squares and Square Roots (2)' worksheet

Key stage:  KS 3

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 - 2b

 = (3 × a2) - 7 - (2 × b)

= (3 × 42) - 7 - (2 x √9)

= (3 × 16) - 7 - (2 x 3)

= 48 - 7 - 6

= 35 

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