Worksheet on Change of Subject

Practice the questions given in the worksheet on change of subject

When a formula involving certain variables is known, we can change the subject of the formula.

What is the subject in each of the following questions? Change the subject as indicated.

1. v = u + at; make a the subject.

2. P = $\frac{m}{m + n}$; make m the subject.

3. A = π(R² – r²); make R the subject.

4. $\frac{1}{R}$ = $\frac{1}{r_{1}}$ + $\frac{1}{r_{2}}$; make r₂ the subject.

5. s = ut + $\frac{1}{2}$at²; make a the subject.

6. In the formula S= 2(lb + bh + lh), S is the subject. Write the formula with h as the subject.

7. If l = a + (n – 1)d, write the formula for the subject n.

8. If 2ax + 3b² = 2bx + 3a², write the formula for x in terms of a, b in the simplest form.

Answers for the worksheet on change of subject  are given below:

Answers:

1. v; a = $\frac{v - u}{t}$

2. P; m = $\frac{nP}{1 - p}$

3. A; R = $\pm \sqrt{\frac{A}{\Pi} + r^{2}}$

4. R; r₂ = $\frac{Rr_{1}}{r_{1} - R}$

5. s; a = $\frac{2(s - ut)}{t^{2}}$

6. h = $\frac{s - 2lb}{2(b + l)}$

7. n = 1 + $\frac{l - a}{d}$

8.x = $\frac{3}{2}$(a + b)

9th Grade Math

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