Expanding double brackets
Slide deck
Download slide deck
Lesson details
Key learning points
- In this lesson, we will learn more about expanding double brackets. 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.
Video
Share with pupils
Loading...
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
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.
Expand and simplify (x+2)(x+5)
18x²
x² + 10
x² + 17x
Q3.
Expand and simplify (x+2)(x-5)
x² - 10
x² - 7x + 10
x² + 3x + 10
Q4.
Expand and simplify 2(x+3)-2(x+5)
-4x
2x² - 6x + 20
None of the answers above.
Q5.
A rectangle has side lengths (x+4) and (x-3). Match the expression that would represent it's area.
20x²
x² - x + 12
x² + 7x - 12
Q6.
Yasmin expanded (a + x + 3)(x + 2). Below are her workings out. Which expression matches the area of the rectangle she has created?
13ax²
ax² + 7ax + 6
x² + a + 5x + 8a