Gcse Maths Algebra - Formulae - Changing Subject

Algebra - formulae GCSE Maths Tutor

changing the subject

question sheet 01

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1. make x the subject in each case: (a) 4 y + 7 = 11 + x

(b) x − 7 y = 13

(c) 12 + 3x = 14 y + 4 x

(d) 11 + 5 x = 13 y + 4 x

(e) 5 x − 2 y = 9 + 4 x

(f) x − 6 y = 15

2. make y the subject in each case:

p y = 4 2

(a) 2 x − y = 5

(b) p − 2 y = 5 − q − 3 y

(c)

(d) p − y = 5 − q

(e) 4 y = 9 − x + 3 y

(f) 4 y + 7 = 3 y + 11 + 2 x

3. make a the subject in each case:

(a) 4b + 2c = a − b

(b) 7a + 2 p = 8a − 3

(d) 2 p = 3 − a − q

(e)

3− a − q = b

(c) 5 p = q − a (f) 5q = 2b + a

4. make p the subject in each case: (a) 2b + p − y = 5 − q (d)

p −5 = 2p − q

(b)

p−q = 4−a+2p

(c) 2 p = 3 p − 4 − a

(e)

3 − 5q = a − p

(f) 3 − 2 p = q − p

5. make x the subject in each case: 3xa = 5 yb

(a) q − 7a − 2 x = 5 − x

(b)

(d) 3 ya 2 = 5 xc

(e) 5a 2 =

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3xb c

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(c) 7 ya = 2 xb (f)

b2 z =

2a 3xc

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ref. alg/form/changesubj/01/2008

Algebra – formulae

changing the subject

GCSE Maths Tutor

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answer sheet 01 [email protected]

1. make x the subject in each case: (a)

x = 4y − 4

(d) x = 13 y −11

x = 13 + 7 y

(b)

(c) x = 12 − 14 y

(e) x = 2 y + 9

(f)

x = 15 + 6 y

2. make y the subject in each case:

p 2

(a) y = 2 x −5

(b) y = 5 − q − p

(c)

y=

(d) y = p − 5 + q

(e) y = 9 − x

(f)

y = 2x + 4

3. make a the subject in each case: (a) a = 5b + 2c

(b) a = 2 p + 3

(c) a = q − 5 p

(d) a = 3 − 2 p − q

(e) a = 3 − q − b

(f) a = 5q − 2b

4. make p the subject in each case: (a)

p = 5 − q + y − 2b

(b) p = a − q − 4

(c)

p = 4+a

(d)

p = q −5

(e)

p = a + 5q − 3

(f)

p = 3− q

5. make x the subject in each case: (a) x = q − 7a −5

3 ya 2 (d) x = 5c GCSE Maths Tutor

5 yb 3a

(b)

x=

(e)

5a 2c x= 3b

(c) x =

7 ya 2b

(f) x =

2a 3b 2 cz

www.gcsemathstutor.com ref. alg/subst/01/2008

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