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Shape, Area,
Symbols and Algebra
Expanding brackets
• Aims. To be able to expand
brackets in algebra.

Key Words
•
•
•
•

Expanding
Expression
Algebra
brackets
Starter

Clouding the
picture

12x – 6y + 26y

12x + 20y

8x + 4x+ 22y – 2y

8x + 6x – 2x + 22y – 2y

Complete your diagram
Starter 2
Multiply the following
1.
2.
3.
4.
5.

2a x 3b
3s x 4t
4d x 6d
3a x a x b
5y x 4z x y
L.O :

To be able expand brackets in algebra.

• 5(4t+5s)

5 (4t+5s) = 20t +25 s
L.O :

To be able expand brackets in algebra.

• 3(2d-3e)

3 (2d-3e) = 6d -9e
L.O :

To be able expand brackets in algebra.

• 7a(2b-3c)

7a (2b-3c) = 14ab -21ac
L.O :

To be able expand brackets in algebra.

Expand the following
brackets
1.
2.
3.
4.
5.

4(2a+4)
5(3b-c)
3(4b-2c)
6(3h-4k)
8( 3r-2q-s)

Answer
1.
2.
3.
4.
5.

8a+16
15b-5c
12b-6c
18h-24k
24r-16q-8s
Expanding brackets and
simplifying
Expand and simplify: 2(3n – 4) + 3(3n + 5)

We need to multiply out both brackets and collect together
like terms.
2(3n – 4) + 3(3n + 5) = 6n – 8 + 9n + 15
= 6n + 9n – 8 + 15
= 15n + 7
Merit Question 5 Minutes
Expand and simplify: 5(3a + 2b) – a(2 + 5b)
We need to multiply out both brackets and collect together
like terms.
5(3a + 2b) – a(2 + 5b) = 15a + 10b – 2a – 5ab
= 15a – 2a + 10b – 5ab
= 13a + 10b – 5ab
Plenary
Expand the following brackets, write your answer using the
mini white board.
• 2( 3y+3)
6y+6
• 3(5t-2q)
15t-6q
• 5(p-2r)
5p-10r
• 3s(2t-u-4v)
6st-3su-12sv
• 8a(3d+2e-5f)
24ad+16ae-40af
Expand brackets and_factorise

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Expand brackets and_factorise

  • 2. Expanding brackets • Aims. To be able to expand brackets in algebra. Key Words • • • • Expanding Expression Algebra brackets
  • 3. Starter Clouding the picture 12x – 6y + 26y 12x + 20y 8x + 4x+ 22y – 2y 8x + 6x – 2x + 22y – 2y Complete your diagram
  • 4. Starter 2 Multiply the following 1. 2. 3. 4. 5. 2a x 3b 3s x 4t 4d x 6d 3a x a x b 5y x 4z x y
  • 5. L.O : To be able expand brackets in algebra. • 5(4t+5s) 5 (4t+5s) = 20t +25 s
  • 6. L.O : To be able expand brackets in algebra. • 3(2d-3e) 3 (2d-3e) = 6d -9e
  • 7. L.O : To be able expand brackets in algebra. • 7a(2b-3c) 7a (2b-3c) = 14ab -21ac
  • 8. L.O : To be able expand brackets in algebra. Expand the following brackets 1. 2. 3. 4. 5. 4(2a+4) 5(3b-c) 3(4b-2c) 6(3h-4k) 8( 3r-2q-s) Answer 1. 2. 3. 4. 5. 8a+16 15b-5c 12b-6c 18h-24k 24r-16q-8s
  • 9. Expanding brackets and simplifying Expand and simplify: 2(3n – 4) + 3(3n + 5) We need to multiply out both brackets and collect together like terms. 2(3n – 4) + 3(3n + 5) = 6n – 8 + 9n + 15 = 6n + 9n – 8 + 15 = 15n + 7
  • 10. Merit Question 5 Minutes Expand and simplify: 5(3a + 2b) – a(2 + 5b) We need to multiply out both brackets and collect together like terms. 5(3a + 2b) – a(2 + 5b) = 15a + 10b – 2a – 5ab = 15a – 2a + 10b – 5ab = 13a + 10b – 5ab
  • 11. Plenary Expand the following brackets, write your answer using the mini white board. • 2( 3y+3) 6y+6 • 3(5t-2q) 15t-6q • 5(p-2r) 5p-10r • 3s(2t-u-4v) 6st-3su-12sv • 8a(3d+2e-5f) 24ad+16ae-40af

Editor's Notes

  1. In this example, we have two sets of brackets. The first set is multiplied by 2 and the second set is multiplied by 3. We don’t need to use a grid as long as we remember to multiply every term inside the bracket by every term outside it. Talk through the multiplication of (3n – 4) by 2 and (3n + 5) by 3. Let’s write the like terms next to each other. When we collect the like terms together we have 6n + 9n which is 15n and –8 + 15 = 7.
  2. Here is another example with two sets of brackets. The first set is multiplied by 5 and the second set is multiplied by minus a. Talk through the multiplication of (3a + 2b) by 5. Next we need to multiply (2 + 5b) by –a. Talk through this.