The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Division of Algebraic Terms with Powers (3)

In this worksheet, students divide algebraic terms giving their answers as a single fraction.

'Division of Algebraic Terms with Powers (3)' worksheet

Key stage:  KS 3

Curriculum topic:  Algebra

Curriculum subtopic:  Use and Interpret Algebraic Notation

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

This worksheet is about the division of algebraic terms with powers.

 

Example

 Simplify:

10a2b5
15a3b2

 

 

Answer

Remember what 10a2b5 and 15a3b2 mean and divide them by subtracting the relevant indices.

We get:    

 

10 x a x a x b x b x b x b x b
15 x a x a x a x b x b

 

Cancel down a matching number of a terms from the top of the fraction with a terms from the bottom.  Similarly with b terms.

 

This leaves us:

 

10 x b x b x b
15 x a

 

which reduces by dividing top and bottom by 5 to

 

2b3
3a


 Simplify:

10a3
15ab

 


  Answers

1. a   2. 2a   3. 2a2
5b 3b 3b

 

1.

2.

3.

 Simplify:

4p
12q

 


  Answers

1. p   2. p   3. 2p
8q 3q 8q

 

1.

2.

3.

 Simplify:

8a2
12ab

 


  Answers

1. 2a   2. a   3. a
3b 3b 4b

 

1.

2.

3.

 Simplify:

8ab
15b2

 


  Answers

1. 2a   2. a   3. 8a
5b 3b 15b

 

1.

2.

3.

 Simplify:

8a2
16ab2

 


  Answers

1. 2a   2. a   3. 8a
b 2b2 16b

 

1.

2.

3.

 Simplify:

4a2b
6ab2

 


  Answers

1. 2a   2. a   3. 2a
3b 2b2 3b2

 

1.

2.

3.

 Simplify:

21a3b
14ab4

 


  Answers

1. 3a   2. 3a2   3. 2a
2b3 2b3 3b2

 

1.

2.

3.

 Simplify:

15a3
24ab4

 


  Answers

1. 3a   2. 5a2   3. 5a
5b3 8b4 8b2

 

1.

2.

3.

 Simplify:

15x4y2
25xy4

 


  Answers

1. 3x   2. 5x2   3. 3x3
5y3 20y4 5y2

 

1.

2.

3.

 Simplify:

15x4y3
35y4

 


  Answers

1. 3x4   2. 5x4   3. 3x3
7y 7y4 7y2

 

1.

2.

3.

  • Question 1

 Simplify:

10a3
15ab

 


  Answers

1. a   2. 2a   3. 2a2
5b 3b 3b

 

CORRECT ANSWER
3.
  • Question 2

 Simplify:

4p
12q

 


  Answers

1. p   2. p   3. 2p
8q 3q 8q

 

CORRECT ANSWER
2.
  • Question 3

 Simplify:

8a2
12ab

 


  Answers

1. 2a   2. a   3. a
3b 3b 4b

 

CORRECT ANSWER
1.
  • Question 4

 Simplify:

8ab
15b2

 


  Answers

1. 2a   2. a   3. 8a
5b 3b 15b

 

CORRECT ANSWER
3.
  • Question 5

 Simplify:

8a2
16ab2

 


  Answers

1. 2a   2. a   3. 8a
b 2b2 16b

 

CORRECT ANSWER
2.
  • Question 6

 Simplify:

4a2b
6ab2

 


  Answers

1. 2a   2. a   3. 2a
3b 2b2 3b2

 

CORRECT ANSWER
1.
  • Question 7

 Simplify:

21a3b
14ab4

 


  Answers

1. 3a   2. 3a2   3. 2a
2b3 2b3 3b2

 

CORRECT ANSWER
2.
  • Question 8

 Simplify:

15a3
24ab4

 


  Answers

1. 3a   2. 5a2   3. 5a
5b3 8b4 8b2

 

CORRECT ANSWER
2.
  • Question 9

 Simplify:

15x4y2
25xy4

 


  Answers

1. 3x   2. 5x2   3. 3x3
5y3 20y4 5y2

 

CORRECT ANSWER
3.
  • Question 10

 Simplify:

15x4y3
35y4

 


  Answers

1. 3x4   2. 5x4   3. 3x3
7y 7y4 7y2

 

CORRECT ANSWER
1.
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Start your £1 trial

Start your trial for £1