1. Area
What is the area of these shapes 8 x x2 x x 8x 3 3 24 3x x 8

2. Area
What is the area of this shapes x 8 x x2 8x 24 3x 3
x2 + 11x + 24

3. Be able to expand brackets and simplify expressions
Objective
Be able to expand brackets and simplify expressions

4. B C D E I can factorise a quadratic expression eg. x2 + 5x - 6
I can expand a pair of linear brackets to get a
quadratic expression eg. (x + 4)(x – 7) D
I can expand a Linear bracket eg 3(x + 5) E
I can simplify expressions by collecting like terms
eg. 3x + 2x2 + 4x – x2

5. Typical Exam Question Expand and simplify the following expression
(a + 3)(a + 2)

6. Step 1
Multiply the individuals components together
(a + 3)(a + 2) a +3 +2

7. a +3 a2 +2

8. a +3 a2
+3a +2

9. a +3 a2
+3a +2
+2a

10. a +3 a2
+3a +2
+2a +6

11. Step 2 a +3 a2
+3a +2
+2a +6
Now collect the like terms 5a

12. Step 3 a +3 a2
+3a +2
+2a +6
So we have
a2 + 5a + 6

13. This will always work!
You may have to deal with negatives too, but don’t worry it’s just as easy.

14. Dealing with negatives
Expand and simplify the following expression
(b + 2)(b – 6)

15. Step 1
Multiply the individuals components together
(b + 2)(b – 6) b +2 -6

16. b +2 b2 -6

17. b +2 b2
+2b -6

18. b +2 b2
+2b -6
-6b

19. b +2 b2
+2b -6
-6b
-12

20. Step 2 b +2 b2
+2b -6
-6b
-12
Now collect the like terms
-4b

21. Step 3 b +2 b2
+2b -6
-6b
-12
So we have
b2 –4b – 12

22. That’s it!
Just be careful when you are multiplying negative numbers and take your time when collecting like terms.

23. Let’s try some questions –
Expand and simplify:
(a + 7)(a + 2)
(b + 5)(b +4)
(c + 4)(c – 2)
(d + 5)(d – 4)
(y + 2)(y – 9)
(p – 3)(p – 6)
(2m – 2)(2m – 4)

24. Let’s check some answers
Time is up!
Let’s check some answers

25. Did you get them correct?
(a + 7)(a + 2)
(b + 5)(b +4)
(c + 4)(c – 2)
(d + 5)(d – 4)
(y + 2)(y - 9)
(p – 3)(p – 6)
(2m – 2)(2m – 4)
a2 + 9a +14
b2 + 9b +20
c2 +2c - 8
d2 + d -20
y2 - 7y - 18
p2 – 9p + 18
4m2 – 12m +8

26. Be able to expand brackets and simplify expressions
THINK!
Did you meet the objective of the lesson?
Be able to expand brackets and simplify expressions

27. B C D E I can factorise a quadratic expression eg. x2 + 5x - 6
I can expand a pair of linear brackets to get a
quadratic expression eg. (x + 4)(x – 7) D
I can expand a Linear bracket eg 3(x + 5) E
I can simplify expressions by collecting like terms
eg. 3x + 2x2 + 4x – x2