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Worksheet 22: More Equations, Formulae and Functions: Answers To Extended Revision Exercises: Algebra

This document provides answers to extended revision exercises on algebra including solving equations, formulae, functions and graphs. There are example problems worked through with solutions provided.

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1K views2 pages

Worksheet 22: More Equations, Formulae and Functions: Answers To Extended Revision Exercises: Algebra

This document provides answers to extended revision exercises on algebra including solving equations, formulae, functions and graphs. There are example problems worked through with solutions provided.

Uploaded by

mk hat
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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Cambridge IGCSE Mathematics Core and Extended CD-ROM

Answers to Extended revision exercises: Algebra


Worksheet 22: More equations, formulae and functions

2
1 (a) 4 (b) 36 (c) 27 (d) 124
3

2 26.5 cm, 33.5 cm

3 144 km

4 Pauline = 11, Alice = 22

5 4 p.m.

6 80 km

7 96 km

y 2
2
T 
8 (a) x = (b) l = g  
3  2π 

9 (a) 3 (b) 1.5 (c) –1.5 (d) 0.75 (e) 9 (f) 24


(g) 36 (h) 27 (i) 36 (j) 27 (k) 0.375

5
10 (a) (b) –5 (c) 1 (d) –3
3

x 1 9
11 (a) x (b) (c)
x 1 7

1 5
12 (a) 3 x  1  1 (b)
2

Original material © Cambridge University Press 2015 1


Cambridge IGCSE Mathematics Core and Extended CD-ROM

(c) g-1(x) = x2  1

(d)

Note that the curves are symmetrical about y = x when


x ≥ 0 for y  x 2  1

and x ≥  1 for y  x 1 .

13 (a) x =  2 and x =  6
(b) x > 1 and x <  1
(c)  3 ≤ x ≤ 3
(d)  2 < x < 3
(e)  4 ≤ x < 1.5
(f) all values can be included

Original material © Cambridge University Press 2015 2

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