# The Distributive Law in Subtraction (Numbers <20)

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

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Relationships Between Operations

Difficulty level:

### 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

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
 A B C 2 3 12 5 6

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

Solve the following equation for A, B and C.

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

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