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Solve Simple Equations With More Than One Possible Answer

In this worksheet, students develop their algebra skills by selecting possible solutions to the given simple equation (more than one possible answer).

'Solve Simple Equations With More Than One Possible Answer' worksheet

Key stage:  KS 3

Curriculum topic:  Algebra

Curriculum subtopic:  Use and Interpret Algebraic Notation

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

In this worksheet, you must find the possible values for the letters. 

All letters stand for positive whole numbers or zero.


Example 1

p + q = 5


The possible values of p and q are: 0 & 5, 1 & 4, 2 & 3, 3 & 2, 4 & 1, 5 & 0.

 

Example 2

pq = 12

 

Remember that pq means p x q.

 

The possible values of p and q are: 1 & 12, 2 & 6, 3 & 4, 4 & 3, 6 & 2, 12 & 1.

Solve the following equation, where p and q are whole numbers or zero.

 

p + q = 4

 

Tick all the correct solutions.

p = 1, q = 4

p = 0, q = 4

p = 1, q = 3

p = 3, q = 1

p = 2, q = 2

p = 4, q = 1

p = 4, q = 0

Solve the following equation, where p and q are whole numbers or zero.

 

p + q = 6

 

Tick all the correct solutions.

p = 1, q = 5

p = 0, q = 6

p = 1, q = 6

p = 3, q = 3

p = 2, q = 4

p = 4, q = 2

p = 5, q = 1

Solve the following equation, where p and q are whole numbers or zero.

 

pq = 6

 

Tick all the correct solutions.

p = 1, q = 5

p = 1, q = 6

p = 0, q = 6

p = 2, q = 3

p = 2, q = 4

p = 3, q = 2

p = 6, q = 1

Solve the following equation, where p and q are whole numbers or zero.

 

pq = 13

 

Tick all the correct solutions.

p = 1, q = 3

p = 1, q = 12

p = 0, q = 13

p = 1, q = 13

p = 13, q = 1

p = 10, q = 3

p = 6, q = 7

Solve the following equation, where p and q are whole numbers or zero.

 

p + q = 5

 

Tick all the correct solutions.

p = 1, q = 5

p = 0, q = 5

p = 1, q = 4

p = 3, q = 2

p = 2, q = 3

p = 4, q = 2

p = 5, q = 0

Solve the following equation, where p and q are whole numbers or zero.

 

p + q = 7

 

Tick all the correct solutions.

p = 1, q = 6

p = 0, q = 7

p = 1, q = 8

p = 3, q = 4

p = 4, q = 3

p = 5, q = 2

p = 5, q = 0

Solve the following equation, where p and q are whole numbers or zero.

 

pq = 17

 

Tick all the correct solutions.

p = 1, q = 7

p = 1, q = 16

p = 0, q = 17

p = 1, q = 17

p = 16, q = 1

p = 10, q = 7

p = 17, q = 1

Solve the following equation, where p and q are whole numbers or zero.

 

pq = 15

 

Tick all the correct solutions.

p = 1, q = 5

p = 1, q = 15

p = 0, q = 15

p = 3, q = 5

p = 5, q = 3

p = 10, q = 5

p = 15, q = 1

Solve the following equation, where p and q are whole numbers or zero.

 

pq = 10

 

Tick all the correct solutions.

p = 1, q = 0

p = 1, q = 10

p = 2, q = 5

p = 5, q = 2

p = 10, q = 1

p = 10, q = 0

p = 5, q = 5

Solve the following equation, where p and q are whole numbers or zero.

 

p + q = 8

 

Tick all the correct solutions.

p = 1, q = 7

p = 0, q = 8

p = 1, q = 6

p = 3, q = 5

p = 2, q = 6

p = 6, q = 2

p = 5, q = 3

  • Question 1

Solve the following equation, where p and q are whole numbers or zero.

 

p + q = 4

 

Tick all the correct solutions.

CORRECT ANSWER
p = 0, q = 4
p = 1, q = 3
p = 3, q = 1
p = 2, q = 2
p = 4, q = 0
  • Question 2

Solve the following equation, where p and q are whole numbers or zero.

 

p + q = 6

 

Tick all the correct solutions.

CORRECT ANSWER
p = 1, q = 5
p = 0, q = 6
p = 3, q = 3
p = 2, q = 4
p = 4, q = 2
p = 5, q = 1
  • Question 3

Solve the following equation, where p and q are whole numbers or zero.

 

pq = 6

 

Tick all the correct solutions.

CORRECT ANSWER
p = 1, q = 6
p = 2, q = 3
p = 3, q = 2
p = 6, q = 1
  • Question 4

Solve the following equation, where p and q are whole numbers or zero.

 

pq = 13

 

Tick all the correct solutions.

CORRECT ANSWER
p = 1, q = 13
p = 13, q = 1
  • Question 5

Solve the following equation, where p and q are whole numbers or zero.

 

p + q = 5

 

Tick all the correct solutions.

CORRECT ANSWER
p = 0, q = 5
p = 1, q = 4
p = 3, q = 2
p = 2, q = 3
p = 5, q = 0
  • Question 6

Solve the following equation, where p and q are whole numbers or zero.

 

p + q = 7

 

Tick all the correct solutions.

CORRECT ANSWER
p = 1, q = 6
p = 0, q = 7
p = 3, q = 4
p = 4, q = 3
p = 5, q = 2
  • Question 7

Solve the following equation, where p and q are whole numbers or zero.

 

pq = 17

 

Tick all the correct solutions.

CORRECT ANSWER
p = 1, q = 17
p = 17, q = 1
  • Question 8

Solve the following equation, where p and q are whole numbers or zero.

 

pq = 15

 

Tick all the correct solutions.

CORRECT ANSWER
p = 1, q = 15
p = 3, q = 5
p = 5, q = 3
p = 15, q = 1
  • Question 9

Solve the following equation, where p and q are whole numbers or zero.

 

pq = 10

 

Tick all the correct solutions.

CORRECT ANSWER
p = 1, q = 10
p = 2, q = 5
p = 5, q = 2
p = 10, q = 1
  • Question 10

Solve the following equation, where p and q are whole numbers or zero.

 

p + q = 8

 

Tick all the correct solutions.

CORRECT ANSWER
p = 1, q = 7
p = 0, q = 8
p = 3, q = 5
p = 2, q = 6
p = 6, q = 2
p = 5, q = 3
---- OR ----

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