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Division of Algebraic Terms with Powers (2)

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

'Division of Algebraic Terms with Powers (2)' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use and Interpret Algebraic Notation

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

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

 

Example

 Simplify:

10a2
15a3

 

 

Answer

Remember what 10a2 and 15a3 mean and divide them.

We get:    

 

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

 

Each a from the top of the fraction will cancel out with an a from the bottom.

 

This gives us

 

10
15a

 

which reduces by dividing top and bottom by 5 to

 

2
3a

 

Remember that we can use other letters than a when we write algebraic terms - and that these have to be alike to cancel each other out.

 Simplify:

10a3
15a2

 


  Answers

1. a   2. a   3. 2a
5a 3 3

 

1.

2.

3.

 Simplify:

15b3
10b

 


  Answers

1. b   2. 3b2   3. 5b
5 2 3

 

1.

2.

3.

 Simplify:

15b
10c

 


  Answers

1. b   2. 3b   3. 5b
5c 2c c

 

1.

2.

3.

 Simplify:

15b
20b

 


  Answers

1. 3   2. 1   3. 5b
4 5b 1

 

1.

2.

3.

 Simplify:

15b2
25b

 


  Answers

1. 3b   2. 3b   3. 5b
4 5 1

 

1.

2.

3.

 Simplify:

15b2
30b4

 


  Answers

1. b2   2. b2   3. 1
4 15 2b2

 

1.

2.

3.

 Simplify:

16b2
30b4

 


  Answers

1. 8b2   2. 8   3. 1
15 15b2 2b2

 

1.

2.

3.

 Simplify:

16g4
6g3

 


  Answers

1. 8g   2. 8   3. 10
3 3g g

 

1.

2.

3.

 Simplify:

6p6
9p3

 


  Answers

1. 2p   2. 2   3. 2p3
3 3p3 3

 

1.

2.

3.

 Simplify:

6p6
4p8

 


  Answers

1. 2p   2. 3   3. 2p2
3 2p2 3

 

1.

2.

3.

  • Question 1

 Simplify:

10a3
15a2

 


  Answers

1. a   2. a   3. 2a
5a 3 3

 

CORRECT ANSWER
3.
  • Question 2

 Simplify:

15b3
10b

 


  Answers

1. b   2. 3b2   3. 5b
5 2 3

 

CORRECT ANSWER
2.
  • Question 3

 Simplify:

15b
10c

 


  Answers

1. b   2. 3b   3. 5b
5c 2c c

 

CORRECT ANSWER
2.
EDDIE SAYS
This one can be tricky, but remember that the letters have to be the same to cancel each other out.
  • Question 4

 Simplify:

15b
20b

 


  Answers

1. 3   2. 1   3. 5b
4 5b 1

 

CORRECT ANSWER
1.
  • Question 5

 Simplify:

15b2
25b

 


  Answers

1. 3b   2. 3b   3. 5b
4 5 1

 

CORRECT ANSWER
2.
  • Question 6

 Simplify:

15b2
30b4

 


  Answers

1. b2   2. b2   3. 1
4 15 2b2

 

CORRECT ANSWER
3.
  • Question 7

 Simplify:

16b2
30b4

 


  Answers

1. 8b2   2. 8   3. 1
15 15b2 2b2

 

CORRECT ANSWER
2.
  • Question 8

 Simplify:

16g4
6g3

 


  Answers

1. 8g   2. 8   3. 10
3 3g g

 

CORRECT ANSWER
1.
  • Question 9

 Simplify:

6p6
9p3

 


  Answers

1. 2p   2. 2   3. 2p3
3 3p3 3

 

CORRECT ANSWER
3.
  • Question 10

 Simplify:

6p6
4p8

 


  Answers

1. 2p   2. 3   3. 2p2
3 2p2 3

 

CORRECT ANSWER
2.
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