# Distributivity and expanding

## Lesson details

### Key learning points

1. In this lesson, we will use the distributive property to expand brackets with linear expressions.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

Share with pupils

## Worksheet

Share with pupils

## Starter quiz

Share with pupils

### 6 Questions

Q1.
Fill in the gap. We can collect together like terms of variables and constants in order to ______ algebraic expressions.
Create
Produce
Sum
Q2.
Fill in the gap: 14 × 3 = 10 × 3 + ____ × 3
-4
1.2
13
Q3.
Fill in the gaps: 5a + 9a = ___ × a = ____
13, 13a
15, 15a
45, 45a
Q4.
Fill in the gaps: 18x + 20x = 30x + ____
10x
18x
38x
Q5.
Simplify the expression 10a -4b + 2a + b
12a - 5b
12a + 3b
8a + 5b
Q6.
Simplify the expression -20x + 3 - 8y + x -y
-19x + 3 - 7y
Correct answer: -19x + 3 - 9y
-21x + 3 - 7y
-25xy

## Exit quiz

Share with pupils

### 5 Questions

Q1.
Fill in the gaps: We can ____ an expression by using the _____ property.
Create, commutative
Factorise, commutative
Q2.
Use the distributive property to fill in the gaps: 4(10 + 5) = ____ × 10 + ____ × 5
10, 5
2, 2
4, 5
Q3.
Expand 4(n+ 5)
20n
4n + 5
4n + 9
Q4.
Expand 8(n-3)
8n - 11
8n - 3
8n + 24
Q5.
Expand -7(n+5).
-42n