Changing the Subject / Manipulating Surds Exercise

1

Make x the subject

3x +y = yx + 2
2

Make x the subject

y = x2 − 4x + 4
3

Make u the subject
4

Make b the subject
5

Make t the subject

(s + t)3 = (s − t)3+ 2t
6

Make a the subject
7
Expand 
8
Expand and simplify 
9
Expand and simplify 
10
Rationalise the fraction 
11
Rationalise the fraction 
12
Rationalise the fraction 
13
Solve   √(2x + 3) = √ (x + 2)
14
Solve   √(4x − 3) = x
15
 Find x if     2. 3x = 54
16
 Sove for x:     3x . 4x = 40
17
 Find x if     3x = 17
18
 Find x if     42x + 1 = 61