Maths

Distributive property

Key Stage 3, Maths, Quadratic expressions (9.9)

Introduction
Intro Quiz
Video
Worksheet
Exit Quiz
Lesson summary

Worksheet (pdf)

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Distributive property

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.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

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Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.The length and width of a rectangle add to 4cm. Stacey thinks only 2 different rectangles are possible. Do you agree?

Yes, Stacey is correct.No, Stacey is incorrect, there is only 1 possible rectangle.No, Stacey is incorrect, there are more than 2 different rectangles.

1/6

Q2.A rectangle's length is 2cm greater than its width. Which expression gives the area?

2x cm²x (x + 2)2x + 4x² + 2

2/6

Q3.A triangle's height is 4 times greater than its base. Which expression gives the area?

2x²4x²5x5x²

3/6

Q4.The length and width of a rectangle add to 14 cm. Which expression gives the area?

14x²14x - x²14 - x²14x - 4x²

4/6

Q5.The length and width of a rectangle add to 14 cm. What is the largest possible area?

14 cm²40 cm²49 cm²56 cm²196 cm²

5/6

Q6.A triangle has a base and height that sum to 20cm. What is the upper bound of the triangle's area?

100 cm²50 cm²10 cm²There is not an upper bound.

6/6

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.The length and width of a rectangle add to 4cm. Stacey thinks only 2 different rectangles are possible. Do you agree?

Yes, Stacey is correct.No, Stacey is incorrect, there is only 1 possible rectangle.No, Stacey is incorrect, there are more than 2 different rectangles.

1/6

Q2.A rectangle's length is 2cm greater than its width. Which expression gives the area?

2x cm²x (x + 2)2x + 4x² + 2

2/6

Q3.A triangle's height is 4 times greater than its base. Which expression gives the area?

2x²4x²5x5x²

3/6

Q4.The length and width of a rectangle add to 14 cm. Which expression gives the area?

14x²14x - x²14 - x²14x - 4x²

4/6

Q5.The length and width of a rectangle add to 14 cm. What is the largest possible area?

14 cm²40 cm²49 cm²56 cm²196 cm²

5/6

Q6.A triangle has a base and height that sum to 20cm. What is the upper bound of the triangle's area?

100 cm²50 cm²10 cm²There is not an upper bound.

6/6

Video

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Worksheet

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >

Quiz:

Distributive Property Quiz

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

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.

factoriseexpressexpanddivide

1/6

Q2.Cala says (x+2)(x+4) is the same as (x+4)(2+x). Is she correct?

Yes, Cala is correct.No Cala is incorrect.

2/6

Q3.Expand and simplify (x+11)(x+2)

Option 1

Option 2

Option 3

Option 4

3/6

Q4.Expand and simplify (x+3)(x+5)

Option 1

Option 2

Option 3

Option 4

4/6

Q5.Expand and simplify 2(x+3)+2(x+5)

2x² + 30x + 164x² + 162x² + 6x + 104x + 16

5/6

Q6.Expand and simplify (x+1)²

x² + 1x² + x + x + 1x² + x + 2x² + 2x + 1

6/6

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >

Quiz:

Distributive Property Quiz

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

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.

factoriseexpressexpanddivide

1/6

Q2.Cala says (x+2)(x+4) is the same as (x+4)(2+x). Is she correct?

Yes, Cala is correct.No Cala is incorrect.

2/6

Q3.Expand and simplify (x+11)(x+2)

Option 1

Option 2

Option 3

Option 4

3/6

Q4.Expand and simplify (x+3)(x+5)

Option 1

Option 2

Option 3

Option 4

4/6

Q5.Expand and simplify 2(x+3)+2(x+5)

2x² + 30x + 164x² + 162x² + 6x + 104x + 16

5/6

Q6.Expand and simplify (x+1)²

x² + 1x² + x + x + 1x² + x + 2x² + 2x + 1

6/6

Lesson summary: Distributive property

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Quadratic expressions (9.9)
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Expanding double brackets

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