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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.
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Algebraic Manipulation
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Next Topic: Forming Expressions
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Form an expression for the area of this shape.
3𝑡+7 2𝑓
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Form an expression for the area of this square.
𝑏+2
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Next Topic: Simplifying Expressions
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Simplify: 3𝑥2𝑦 3
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Simplify: 12𝑥2𝑦 3𝑦
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Simplify: 25𝑥3𝑦2 5𝑥2𝑦3
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Next Topic: Expanding Brackets
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Expand & Simplify: 6 𝑘+3 −5(𝑘+2)
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Expand & Simplify: 4 𝑝+5 −3(2−𝑝)
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Expand & Simplify: 𝑥+5 (𝑥+2)
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Expand & Simplify: 𝑥−4 (𝑥+3)
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Expand & Simplify: 2𝑦−5 (𝑦+1)
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Expand & Simplify: 2𝑦+3 (4𝑦+1)
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Next Topic: Expanding Triple Brackets
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Expand & Simplify: 𝑥+1 (𝑥+2)(𝑥+3)
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ANSWER Expand & Simplify: 𝑥+1 (𝑥+2)(𝑥+3) 𝑥3+6𝑥2+11𝑥+6
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Next Topic: Factorising
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Factorise: 8𝑔ℎ2+12𝑔ℎ
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Factorise: 15𝑚𝑛2+5𝑚2𝑛
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Factorise: 𝑥2−16
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Factorise: 𝑥2+5𝑥+6
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Factorise: 𝑥2−𝑥−12
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Factorise: 2𝑥2+7𝑥+6
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ANSWER Factorise: 2𝑥2+7𝑥+6 (2𝑥+3)(𝑥+2)
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Factorise: 4𝑥2−4𝑥−3
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ANSWER Factorise: 4𝑥2−4𝑥−3 (2𝑥+1)(2𝑥−3)
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Next Topic: Changing the Subject
of a Formula
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Make 𝑥 the subject of this formula:
𝑦=2𝑥+3
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Make 𝑥 the subject of this formula:
ℎ= 𝑡−6
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Make 𝑟 the subject of this formula:
𝑔= 𝑟+7 2
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Make 𝑟 the subject of this formula:
𝑦= 2(3𝑟+4) 𝑟
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Make 𝑟 the subject of this formula:
ANSWER Make 𝑟 the subject of this formula: 𝑦= 2(3𝑟+4) 𝑟 𝑟= 8 𝑦−6
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Next Topic: Simplifying
Algebraic Fractions
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Simplify: 𝑥2+5𝑥+6 𝑥2+3𝑥
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ANSWER Simplify: 𝑥2+5𝑥+6 𝑥2+3𝑥 𝑥+2 𝑥
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Simplify: 𝑥2−9 2𝑥2+6𝑥
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ANSWER Simplify: 𝑥2−9 2𝑥2+6𝑥 𝑥−3 2𝑥
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Simplify: 𝑥2−16 2𝑥2−5𝑥−12
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ANSWER Simplify: 𝑥2−16 2𝑥2−5𝑥−12 𝑥+4 2𝑥+3
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Simplify: 𝑥+3 𝑥+4 − 𝑥−5 𝑥−4
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ANSWER Simplify: 𝑥+3 𝑥+4 − 𝑥−5 𝑥−4 8 𝑥2−16
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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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