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Solve Complex Equations Using Trial and Improvement

In this worksheet, students practise using trial and improvement to solve complex equations.

'Solve Complex Equations Using Trial and Improvement' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Understand Expressions, Equations, Inequalities, Terms and Factors

Difficulty level:  

Worksheet Overview

In this worksheet, you must use trial and improvement to solve equations.

 

Example

Solve a2 = 54 giving the answer to 1 decimal place.

 

Answer


Try a value you think will be close to the answer.

 

a = a2 =
7 49 This is too small. Try a bigger value.
8 64 This is too big. Try between 7 and 8.
7.5 56.25 Too big. Try a smaller number.
7.3 53.29 Too small.
7.4 54.76 Too big.
7.35 54.02 Too big.

 

The value of a is closer to 7.3 than 7.4 


Answer to 1 decimal place is a = 7.3

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