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Mastering Change of Subject in Equations

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Rearrange the formula A = πr² to make r the subject.

a)

r = πA

b)

r = A/π

c)

r = 2πA

d)

r = √(A/π)

2.

If F = ma, change the subject to a.

a)

a = F/m

b)

a = F - m

c)

a = F + m

d)

a = m/F

3.

Given the equation C = 2πr, express r in terms of C.

a)

r = 2C / π

b)

r = C / (2π)

c)

r = C / π

d)

r = C / (4π)

4.

From the formula V = lwh, solve for h.

a)

h = V - (lw)

b)

h = V * (lw)

c)

h = V / (lw)

d)

h = V + (lw)

5.

If P = 2(l + w), change the subject to l.

a)

l = P/2 - 2w

b)

l = P - 2w

c)

l = (P/2) - w

d)

l = P/2 + w

6.

Rearrange the equation I = V/R to make V the subject.

a)

V = I * R

b)

V = I / R

c)

V = I + R

d)

V = R - I

7.

From the formula A = P(1 + rt), express t in terms of A, P, and r.

a)

t = P(1 + A/r)

b)

t = ((A/P) - 1) / r

c)

t = A / (P + r)

d)

t = A - Pr

8.

If d = rt, change the subject to r.

a)

r = d/t

b)

r = d + t

c)

r = d * t

d)

r = d - t

9.

Given the equation s = ut + 0.5at², solve for a.

a)

a = (s + ut) / t²

b)

a = (s - ut) / t

c)

a = 2(s - ut) / t²

d)

a = s / (ut + 0.5t²)

10.

Rearrange the formula E = mc² to make m the subject.

a)

m = c²/E

b)

m = E/c²

c)

m = E * c

d)

m = E + c²