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Binomials: Adding and Subtracting

In this worksheet, students add and subtract binomial expressions.

'Binomials: Adding and Subtracting' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Simplify Algebraic Expressions to Maintain Equivalence

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

A binomial expression is one that has two terms, such as 3a - 1

When we add and subtract binomials, we combine the letter terms and the numbers separately.

Be careful with - signs and try to put the letter term first

(i.e. 3a -1 rather than -1 + 3a).

 

Example 1

Simplify

(3a - 1) + (2a + 7)

 

Answer

(3a - 1) + (2a + 7)

= 3a - 1 + 2a + 7

= 3a + 2a - 1 + 7

= 5a + 6

 

Example 2

Simplify

(3a - 1) - (2a + 7)

 

Answer

(3a - 1) - (2a + 7)

= 3a - 1 - 2a - 7

= 3a - 2a - 1 - 7

= a - 8

 

Example 3

Simplify

(3a - 1) - (2a - 7)

 

Answer

(3a - 1) - (2a - 7)

= 3a - 1 - 2a + 7

= 3a - 2a - 1 + 7

= a + 6

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