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Chapter 1 - P1 - Worksheet

worksheet

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Chapter 1 - P1 - Worksheet

worksheet

Uploaded by

suren2006
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Worksheet 1

Exercise 1

Given that (3𝑝𝑝𝑞𝑞 2 )4 × 2𝑝𝑝�𝑞𝑞 8 = 𝑎𝑎𝑝𝑝𝑏𝑏 𝑞𝑞 𝑐𝑐 , find the values of the constants 𝑎𝑎, 𝑏𝑏 and 𝑐𝑐. (3)

Exercise 2
3𝑥𝑥
Given 34𝑦𝑦
= 27√3 , find 𝑦𝑦 as a simplified function of 𝑥𝑥. (3)

Exercise 3

(i) Given that 125√5 = 5𝑎𝑎 , find the value of 𝑎𝑎. (2)
16
(ii) Show that = 8 + 4√2
4−√8

You must show all stages of your working. (3)

Exercise 4

Given that

64𝑥𝑥 6
𝑦𝑦 = , 𝑥𝑥 > 0
25
express each of the following in the form 𝑘𝑘𝑥𝑥 𝑛𝑛 where 𝑘𝑘 and 𝑛𝑛 are constants.
1
(a) 𝑦𝑦 −2 (3)
2
(b) (25𝑦𝑦)3 (2)

Exercise 5

Simplify fully
1 4
(a) �3𝑥𝑥 2 � (3)

2𝑦𝑦 7 ×(4𝑦𝑦)−2
(b) 3𝑦𝑦
(2)

Exercise 6
20
(i) Show that √45 − + √6√30 = 5√5. (2)
√5

17√2
(ii) Show that = 3√2 − 1. (3)
√2+6

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