Changing the subject of the formula

Question 1

Make x the subject of the formula:

y = 3x - a

Answer 1

Answer:

x = (y + a)/3

Question 2

Make x the subject of the formula:

s = x/a

Answer 2

Answer:

x = as

Question 3

Express v in terms of t:

t = (v/4) + 1

Answer 3

Answer:

v = 4(t - 1)

Question 4

Make y the subject of the formula:

k = y^2 + a

Answer 4

Answer:

y= √(k - a )

Question 5

Make w the subject of the formula:

4(g - w ) = 5w - 3

Answer 5

Answer:

w = (4g + 3)/9

Question 6

Express a in terms of c and p:

4(2a + p) = c + p + a

Answer 6

Answer:

a = (c - 3p)/7

Question 7

Make a the subject of the formula:

14a + 6w = ac + 8w

Answer 7

Answer:

2w) / (14 - c

Question 8

Make x the subject of:

y = (x + 3) / (x - 8)

Answer 8

Answer:

3 + 8y) / (y - 1

Question 9

Make y the subject of:

y + 3 = x (y + 2)

Answer 9

Answer:

2x - 3) / (1 - x

Question 10

Make a the subject of the formula:

1/a - 1/b = 1/c

Answer 10

Answer:

bc) / (b + c

Question 11

Make w the subject of the formula:

g = w / (w - 5)

Answer 11

Answer:

w = (5g) / (g - 1)

Question 12

Make d the subject of the formula:

c = 4d + 5

Answer 12

Answer:

(c - 5) / 4

Question 13

Find the value of c when x = 9 and y = -2 :

c = 4x + 5y

Answer 13

Answer:

c = 26

Question 14

Make b the subject of the formula:

a^2 + b^2 = c^2

Answer 14

Answer:

b = √(c^2 - a^2)

Question 15

Find the value of x when c = 51 and y = 3 :

c = 4x + 5y

Answer 15

Answer:

x = 9