Year 9

# Distributive property

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## Lesson details

### Key learning points

- In this lesson, we will learn more about applying the distributive property of multiplication with variables. We will use area models to visualise the process.

### 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.

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### 6 Questions

Q1.

The length and width of a rectangle add to 4cm. Stacey thinks only 2 different rectangles are possible. Do you agree?

No, Stacey is incorrect, there is only 1 possible rectangle.

Yes, Stacey is correct.

Q2.

A rectangle's length is 2cm greater than its width. Which expression gives the area?

2x + 4

2x cm²

x² + 2

Q3.

A triangle's height is 4 times greater than its base. Which expression gives the area?

4x²

5x

5x²

Q4.

The length and width of a rectangle add to 14 cm. Which expression gives the area?

14 - x²

14x - 4x²

14x²

Q5.

The length and width of a rectangle add to 14 cm. What is the largest possible area?

14 cm²

196 cm²

40 cm²

56 cm²

Q6.

A triangle has a base and height that sum to 20cm. What is the upper bound of the triangle's area?

10 cm²

100 cm²

There is not an upper bound.

### 6 Questions

Q1.

Choose the word which best fills the gap: When we ________ double brackets every term in the first bracket must be multiplied by every term in the second bracket.

divide

express

factorise

Q2.

Cala says (x+2)(x+4) is the same as (x+4)(2+x). Is she correct?

No Cala is incorrect.

Q3.

Expand and simplify (x+11)(x+2)

Option 1

Option 2

Option 4

Q4.

Expand and simplify (x+3)(x+5)

Option 2

Option 3

Option 4

Q5.

Expand and simplify 2(x+3)+2(x+5)

2x² + 30x + 16

2x² + 6x + 10

4x² + 16

Q6.

Expand and simplify (x+1)²

x² + 1

x² + x + 2

x² + x + x + 1