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The Distributive Law in Subtraction (Numbers <20)

In this worksheet, students use the distributive law in subtraction.

'The Distributive Law in Subtraction (Numbers <20)' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Relationships Between Operations

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet, we use the distributive law for subtraction.

 

Example

Work out the values of A, B, C and D.

 

5×3 - 5×2 =
A
-
B
=
C

 

5×(3 - 2) =
D

 

Answer

A = 15
B = 10
C = 5
D = 5

This means that    5 x 3 - 5 x 2   is the same as   5 x (3 - 2) = 5 x 1 = 5

This is the DISTRIBUTIVE LAW.

Solve the following equation for A, B and C.

6 × 3 − 6 × 2 = 6 × (
A
B
)   =
C
 ABC
2
3
12
5
6

Solve the following equation for A, B and C.

3 × 9 − 3 × 2 = 3 × (
A
B
)   =
C
 ABC
2
3
9
27
21

Solve the following equation for A, B and C.

9 × 8 − 9 × 3 = 9 × (
A
B
)   =
C
 ABC
3
8
9
45
50

Solve the following equation for A, B and C.

7 × 9 − 7 × 8 = 7 × (
A
B
)   =
C
 ABC
8
9
12
7
20

Solve the following equation for A, B and C.

6 × 5 − 6 × 4 = 6 × (
A
B
)   =
C
 ABC
4
5
6
7

Solve the following equation for A, B and C.

4 × 7 − 4 × 5 = 4 × (
A
B
)   =
C
 ABC
9
4
5
7
8

Solve the following equation for A, B and C.

9 ×7 − 9 × 5 = 9 × (
A
B
)   =
C
 ABC
5
7
9
17
18

Solve the following equation for A, B and C.

8 × 7 − 8 × 5 = 8 × (
A
B
)   =
C
 ABC
5
7
9
16
17

Solve the following equation for A, B and C.

7 × 7 − 7 × 4 = 7 × (
A
B
)   =
C
 ABC
6
4
7
21
31

Solve the following equation for A, B and C.

6 × 9 − 6 × 6 = 6 × (
A
B
)   =
C
 ABC
6
7
8
9
18
  • Question 1

Solve the following equation for A, B and C.

6 × 3 − 6 × 2 = 6 × (
A
B
)   =
C
CORRECT ANSWER
 ABC
2
3
12
5
6
  • Question 2

Solve the following equation for A, B and C.

3 × 9 − 3 × 2 = 3 × (
A
B
)   =
C
CORRECT ANSWER
 ABC
2
3
9
27
21
  • Question 3

Solve the following equation for A, B and C.

9 × 8 − 9 × 3 = 9 × (
A
B
)   =
C
CORRECT ANSWER
 ABC
3
8
9
45
50
  • Question 4

Solve the following equation for A, B and C.

7 × 9 − 7 × 8 = 7 × (
A
B
)   =
C
CORRECT ANSWER
 ABC
8
9
12
7
20
  • Question 5

Solve the following equation for A, B and C.

6 × 5 − 6 × 4 = 6 × (
A
B
)   =
C
CORRECT ANSWER
 ABC
4
5
6
7
  • Question 6

Solve the following equation for A, B and C.

4 × 7 − 4 × 5 = 4 × (
A
B
)   =
C
CORRECT ANSWER
 ABC
9
4
5
7
8
  • Question 7

Solve the following equation for A, B and C.

9 ×7 − 9 × 5 = 9 × (
A
B
)   =
C
CORRECT ANSWER
 ABC
5
7
9
17
18
  • Question 8

Solve the following equation for A, B and C.

8 × 7 − 8 × 5 = 8 × (
A
B
)   =
C
CORRECT ANSWER
 ABC
5
7
9
16
17
  • Question 9

Solve the following equation for A, B and C.

7 × 7 − 7 × 4 = 7 × (
A
B
)   =
C
CORRECT ANSWER
 ABC
6
4
7
21
31
  • Question 10

Solve the following equation for A, B and C.

6 × 9 − 6 × 6 = 6 × (
A
B
)   =
C
CORRECT ANSWER
 ABC
6
7
8
9
18
---- OR ----

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