If you are about to clear your doubts in homework or need an extra bit of practice this is the place for you. Worksheet on Changing the Subject of a Formula gives you ample practice on different kinds of questions framed on the topic. Try the problems over here on your own and then cross-check with the solutions provided to test where you stand in your preparation. Our Changing the Subject of a Formula Worksheet will complement your preparation and help you perform well in your exams.

Read More:

## Changing the Subject of a Formula Worksheet with Answers

**Change the subject as indicated in the following formulas
**1. Distance= Speed × Time make T as the subject.

**Solution:**

Given Distance= Speed × Time

Move speed to the left side then,

Distance/Speed=Time

Therefore, Time=Distance/speed.

2. p=2(l+b) make l as subject

**Solution:**

Given p=2(l+b)

Move 2 to the left side and divide it with p.

p/2=l +b

Subtract b on both sides

p/2-b=l + b – b

p/2-b=l

Therefore, l=p/2-b.

3. Profit=Selling Price – Cost Price make selling Price as subject

**Solution:**

Move Cost Price to the Left,

Profit + Cost Price=Selling Price

Therefore, Selling Price=Profit + Cost Price.

4. Y=mx + c make x as a subject.

**Solution:**

Subtract c on both sides.

y-c=mx + c – c

y-c=mx

Divide m on both sides

(y-c)/m=mx/m

(y-c)/m=x

Therefore, x=(y-c)/m.

5. D=b^{2}– 4ac make b as the subject.

**Solution:**

Given, D = b² – 4ac

Move 4ac to the left side and add it to the D

D + 4ac = b²

By Applying square root on both sides we get,

√(D + 4ac) = √b²

√(D + 4ac) = b

Therefore, b=√(D + 4ac) .

vi) I = (P × R × T)/100 make T as subject

Move 100 to the left side and multiply it with I

I × 100 = PRT

Move RP to the left side and divide it with 100I

100I/RP = T

Therefore, T=100I/RP.

6. Profit Margin=Total Income/Net Sales × 100 make Total Income as the subject.

**Solution:**

Given Profit Margin=Total Income/Net Sales × 100

Move100 to Left and divide by Profit Margin,

Profit Margin/100=Total income/Net Sales

Move Net Sales to the left,

Net Sales × Profit Margin/100=Total Income

Therefore, Total Income= Net Sales × Profit Margin/100.

7. Income – Savings=Expenses make Savings as the subject.

**Solution:**

Given,

Income – Savings=Expenses

Move expenses to the Left and savings to the right,

Income – Expenses= Savings.

Therefore, Savings=Income – Expenses.

8. s = mL + r make L the subject by rearranging the formula?

**Solution:**

Given s=mL + r **
**First, Subtract r on both sides

s – r = mL + r -r

s-r=mL

Now, Divide m on both sides

(s – r)/m = L

Therefore, L = (s – r)/m.

9. A = 1/2 (l₁ + l₂) h; make l₁ as subject

**Solution:**

Given that A = 1/2 (l₁ + l₂) h

Move 1/2.h to the left side and divide it with A

2A/h = l₁ + l₂

Move l₂ to the left side and subtract it from 2A/h

2A/h – l₂ = l₁

Therefore, l₁ = 2A/h – l₂.

10. h² = p² + b² make p as a subject.

**Solution:**

Given that h² = p² + b²

Move b² to the left side and subtract it from h²

h² – b² = p²

Apply square root on both sides

√(h² – b²) = √(p²)

√(h² – b²) = p

Therefore, p = √(h² – b²).

11. A = P {1 + (Rn/100)}; make R as subject

**Solution:**

Given that A = P {1 + (Rn/100)}

Move P to the left side and Divide it with A.

A/P = 1 + (Rn/100)

Move 1 to the left side and Subtract it with A/P.

A/P – 1 = Rn/100

Move 100 to the left side and Multiply it with A/P – 1.

100(A/P – 1) = Rn

Move n to the left side and Divide it with 100(A/P – 1).

{100(A/P – 1)}/n = R

Therefore, R={100(A/P – 1)}/n .

** **