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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:  

down

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

Simplify

(3a - 2) + (2a + 5)

 

(Write your answer without spaces)

Simplify

(3a - 2) - (2a + 5)

 

(Write your answer without spaces)

Simplify

(3a - 2) - (2a - 5)

 

(Write your answer without spaces)

Simplify

(5a - 1) + (5a + 1)

 

(Write your answer without spaces)

Simplify

(5a + 1) + (5a - 1)

 

(Write your answer without spaces)

Simplify

(5a + 1) - (5a - 1)

 

(Write your answer without spaces)

Simplify

(5a + 1) - (5a + 1)

 

(Write your answer without spaces)

Simplify

(3a + 1) - (a + 3)

 

(Write your answer without spaces)

Simplify

(3a + 1) + (a + 3)

 

(Write your answer without spaces)

Simplify

(-3a + 1) - (a - 3)

 

(Write your answer without spaces)

  • Question 1

Simplify

(3a - 2) + (2a + 5)

 

(Write your answer without spaces)

CORRECT ANSWER
5a+3
  • Question 2

Simplify

(3a - 2) - (2a + 5)

 

(Write your answer without spaces)

CORRECT ANSWER
a-7
  • Question 3

Simplify

(3a - 2) - (2a - 5)

 

(Write your answer without spaces)

CORRECT ANSWER
a+3
  • Question 4

Simplify

(5a - 1) + (5a + 1)

 

(Write your answer without spaces)

CORRECT ANSWER
10a
  • Question 5

Simplify

(5a + 1) + (5a - 1)

 

(Write your answer without spaces)

CORRECT ANSWER
10a
  • Question 6

Simplify

(5a + 1) - (5a - 1)

 

(Write your answer without spaces)

CORRECT ANSWER
2
  • Question 7

Simplify

(5a + 1) - (5a + 1)

 

(Write your answer without spaces)

CORRECT ANSWER
0
  • Question 8

Simplify

(3a + 1) - (a + 3)

 

(Write your answer without spaces)

CORRECT ANSWER
2a-2
  • Question 9

Simplify

(3a + 1) + (a + 3)

 

(Write your answer without spaces)

CORRECT ANSWER
4a+4
  • Question 10

Simplify

(-3a + 1) - (a - 3)

 

(Write your answer without spaces)

CORRECT ANSWER
-4a+4
4-4a
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