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Presentation on theme: "Delete unwanted questions."— Presentation transcript:

1 Delete unwanted questions.
Algebraic Manipulation – Higher – Maths Vegas In this competitive game, teams of students ‘wager’ money on a series of questions. Teams can wager up to 50% and receive double the wager back if they are correct. Use mini-whiteboards to check team answers quickly. Delete unwanted questions. The associated Excel spreadsheet provides a screen for score-keeping for up to 8 teams.

2 Algebraic Manipulation

3 Next Topic: Forming Expressions

4 Form an expression for the area of this shape.
3𝑡+7 2𝑓

5 Form an expression for the area of this square.
𝑏+2

6 Next Topic: Simplifying Expressions

7 Simplify: 3𝑥2𝑦 3

8 Simplify: 12𝑥2𝑦 3𝑦

9 Simplify: 25𝑥3𝑦2 5𝑥2𝑦3

10 Next Topic: Expanding Brackets

11 Expand & Simplify: 6 𝑘+3 −5(𝑘+2)

12 Expand & Simplify: 4 𝑝+5 −3(2−𝑝)

13 Expand & Simplify: 𝑥+5 (𝑥+2)

14 Expand & Simplify: 𝑥−4 (𝑥+3)

15 Expand & Simplify: 2𝑦−5 (𝑦+1)

16 Expand & Simplify: 2𝑦+3 (4𝑦+1)

17 Next Topic: Expanding Triple Brackets

18 Expand & Simplify: 𝑥+1 (𝑥+2)(𝑥+3)

19 ANSWER Expand & Simplify: 𝑥+1 (𝑥+2)(𝑥+3) 𝑥3+6𝑥2+11𝑥+6

20 Next Topic: Factorising

21 Factorise: 8𝑔ℎ2+12𝑔ℎ

22 Factorise: 15𝑚𝑛2+5𝑚2𝑛

23 Factorise: 𝑥2−16

24 Factorise: 𝑥2+5𝑥+6

25 Factorise: 𝑥2−𝑥−12

26 Factorise: 2𝑥2+7𝑥+6

27 ANSWER Factorise: 2𝑥2+7𝑥+6 (2𝑥+3)(𝑥+2)

28 Factorise: 4𝑥2−4𝑥−3

29 ANSWER Factorise: 4𝑥2−4𝑥−3 (2𝑥+1)(2𝑥−3)

30 Next Topic: Changing the Subject
of a Formula

31 Make 𝑥 the subject of this formula:
𝑦=2𝑥+3

32 Make 𝑥 the subject of this formula:
ℎ= 𝑡−6

33 Make 𝑟 the subject of this formula:
𝑔= 𝑟+7 2

34 Make 𝑟 the subject of this formula:
𝑦= 2(3𝑟+4) 𝑟

35 Make 𝑟 the subject of this formula:
ANSWER Make 𝑟 the subject of this formula: 𝑦= 2(3𝑟+4) 𝑟 𝑟= 8 𝑦−6

36 Next Topic: Simplifying
Algebraic Fractions

37 Simplify: 𝑥2+5𝑥+6 𝑥2+3𝑥

38 ANSWER Simplify: 𝑥2+5𝑥+6 𝑥2+3𝑥 𝑥+2 𝑥

39 Simplify: 𝑥2−9 2𝑥2+6𝑥

40 ANSWER Simplify: 𝑥2−9 2𝑥2+6𝑥 𝑥−3 2𝑥

41 Simplify: 𝑥2−16 2𝑥2−5𝑥−12

42 ANSWER Simplify: 𝑥2−16 2𝑥2−5𝑥−12 𝑥+4 2𝑥+3

43 Simplify: 𝑥+3 𝑥+4 − 𝑥−5 𝑥−4

44 ANSWER Simplify: 𝑥+3 𝑥+4 − 𝑥−5 𝑥−4 8 𝑥2−16

45 tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!? Any feedback would be appreciated . Please feel free to


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