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Binomials: Adding and Subtracting (2)

In this worksheet, students add and subtract binomial expressions.

'Binomials: Adding and Subtracting (2)' worksheet

Key stage:  KS 4

Curriculum topic:  Algebra

Curriculum subtopic:  Translate Simple Situations or Procedures into Algebraic Expressions, Formulae or Equations

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.

If there is a number outside a bracket, it multiplies everything inside that bracket.

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

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

 

Example 1

Simplify

4(3a - 1) - (2a + 7)

 

Answer

4(3a - 1) - 1(2a + 7)

= 12a - 4 - 2a - 7

= 12a - 2a - 4 - 7

= 10a - 11

 

Example 2

Simplify

5(3a - 1) - 3(2a - 7)

 

Answer

5(3a - 1) - 3(2a - 7)

= 15a - 5 - 6a + 21

= 15a - 6a - 5 + 21

= 9a + 16

 

Example 3

Simplify

6(3a + 1) - 3(2 - 7a)

 

Answer

6(3a + 1) - 3(2 - 7a)

= 18a + 6 - 6 + 21a

= 18a + 21a + 6 - 6

= 39a

Simplify

3(4a - 2) + (2a + 5)

 

(Write your answer without spaces)

Simplify

(13a - 2) - 2(2a + 5)

 

(Write your answer without spaces)

Simplify

2(13a - 2) - (12a - 5)

 

(Write your answer without spaces)

Simplify

2(15a - 15) + 2(15a + 15)

 

(Write your answer without spaces)

Simplify

2(5a + 12) + (15a - 12)

 

(Write your answer without spaces)

Simplify

3(5a + 1) - 2(5a - 1)

 

(Write your answer without spaces)

Simplify

3(5a + 1) - 2(-5a + 1)

 

(Write your answer without spaces)

Simplify

6(3a + 1) - 3(6 + a)

 

(Write your answer without spaces)

Simplify

4(3a + 1) - 2(3 - a)

 

(Write your answer without spaces)

Simplify

4(-3a + 1) - 5(3 - a)

 

(Write your answer without spaces)

  • Question 1

Simplify

3(4a - 2) + (2a + 5)

 

(Write your answer without spaces)

CORRECT ANSWER
14a-1
  • Question 2

Simplify

(13a - 2) - 2(2a + 5)

 

(Write your answer without spaces)

CORRECT ANSWER
9a-12
  • Question 3

Simplify

2(13a - 2) - (12a - 5)

 

(Write your answer without spaces)

CORRECT ANSWER
14a+1
  • Question 4

Simplify

2(15a - 15) + 2(15a + 15)

 

(Write your answer without spaces)

CORRECT ANSWER
60a
  • Question 5

Simplify

2(5a + 12) + (15a - 12)

 

(Write your answer without spaces)

CORRECT ANSWER
25a+12
  • Question 6

Simplify

3(5a + 1) - 2(5a - 1)

 

(Write your answer without spaces)

CORRECT ANSWER
5a+5
  • Question 7

Simplify

3(5a + 1) - 2(-5a + 1)

 

(Write your answer without spaces)

CORRECT ANSWER
25a+1
  • Question 8

Simplify

6(3a + 1) - 3(6 + a)

 

(Write your answer without spaces)

CORRECT ANSWER
15a-12
  • Question 9

Simplify

4(3a + 1) - 2(3 - a)

 

(Write your answer without spaces)

CORRECT ANSWER
14a-2
  • Question 10

Simplify

4(-3a + 1) - 5(3 - a)

 

(Write your answer without spaces)

CORRECT ANSWER
-7a-11
-11-7a
---- OR ----

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