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Simplify Like Terms

In this worksheet, students simplify like algebraic terms involving several variables.

'Simplify Like Terms' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use Standard Mathematical Formulae

Difficulty level:  

Worksheet Overview

When we simplify algebraic expressions we combine the coefficients of like terms.

Like terms are terms with matching letters.

 

3a, 4a and a are like terms.

2b, -b, -5b are like terms.

2b and b2 are not like terms.

3b and 3 are not like terms.

3b, 5c and -2 are not like terms.

 

 

Example

Simplify -4 + 3b + 4b - a + 2b + 6a + 3

 

Answer

Look at the coefficients of all the as...... -a + 6a which are -1a + 6a

Combine them to get  -1 + 6 = 5

So we get 5a

 

Look at the coefficients of all the bs...... 3b + 4b + 2b which are 3b + 4b +2b

Combine them to get 3 + 4  +2 = 9

So we get 9b

 

Combine the numbers which are -4 + 3 = -1

 

The answer is 5a + 9b - 1

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