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(R^{2} – r^{2}); make R the subject.
4. \(\frac{1}{R}\) = \(\frac{1}{r_{1}}\) + \(\frac{1}{r_{2}}\); make r_{2} the subject.
5. s = ut + \(\frac{1}{2}\)at^{2}; 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 + 3b^{2 }= 2bx + 3a^{2}, 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; r_{2} = \(\frac{Rr_{1}}{r_{1} - R}\)
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)
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