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Sapumal Senadeerage Sasanka Sagara
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9 views3 pages

Show That

contact us for the full version +94788943818 S$S$ production

Uploaded by

Sapumal Senadeerage Sasanka Sagara
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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1 1 1 11

1. Show that 1 + 2 + 3 = 1
2 3 4 12

[3]

2.
a) Simplify (𝑥𝑦)2 ÷ 𝑥 2 × 𝑦 −2

……………………………………….[1]
(3𝑥 2 )3
b) Simplify (3𝑥 3 )2

……………………………………….[1]

c) Expand (3𝑥 − 2)(4𝑥 + 3)

……………………………………….[2]

d) Factorize fully 𝑥 2 𝑦 − 2𝑦 2 𝑥

……………………………………….[2]
3. Complete the table of values for 𝑦 = 𝑥 2 − 2𝑥 + 2, 𝑎𝑛𝑑 𝑦 = 𝑥 2 + 2𝑥 + 2.

𝑥 -3 -2 -1 0 1 2 3
𝑦1
𝑦2
a) On the grid, plot both graphs for all 𝑥 from -3 to +3

[4]
2 2
Explain how to derive 𝑦 = 𝑥 − 2𝑥 + 2 𝑓𝑟𝑜𝑚 𝑦 = 𝑥 + 2𝑥 + 2 using an appropriate transformation.
*Discussion

Puzzle: The Mysterious Three Numbers

I have three numbers in mind. Let's call them AAA, BBB, and CCC.

 A+B+C=30
 A, B, and C are all positive integers.
 A is a prime number.
 B is double the value of C.

What are A, B, and C?

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