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.
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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=b2– 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 .