2.3E: Exercises
- Page ID
- 30820
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More Practice
Solve a Formula for a Specific Variable
Solve each of the following equations for the indicated variable.
\(x − f = g\) for \(x\)
- Answer
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\(x=f+g\)
\(a + c = b\) for \(c\)
\(S = L + 2B\) for \(L\)
- Answer
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\(L=S-2B\)
\(x + 5y = 3\) for \(x\)
\(ab = c\) for \(b\)
- Answer
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\(b=\dfrac{c}{a}\)
\(rt = d\) for \(r\)
\(DS = ds\) for \(D\)
- Answer
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\(D=\dfrac{ds}{S}\)
\(E = mc^2\) for \(m\)
\(3x = \dfrac{a}{b}\) for \(x\)
- Answer
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\(x=\dfrac{a}{3b}\)
\(lwh = V\) for \(w\)
\(at − bw = s\) for \(w\)
- Answer
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\(w=\dfrac{at-s}{b}\)
\(R = aT + b\) for \(T\)
\(S = πrh + πr^2\) for \(h\)
- Answer
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\(h=\dfrac{s-\pi r^2}{\pi r}\)
\(h = vt − 16t^2\) for \(v\)
\(V = \dfrac{4}{3} πr^3\) for \(π\)
- Answer
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\(\pi =\dfrac{3V}{4r^3}\)
\(V = \dfrac{πDn}{12}\) for \(D\)
\(V = \dfrac{πr^2h}{3}\) for \(h\)
- Answer
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\(h=\dfrac{3v}{\pi r^2}\)
\(E = \dfrac{mv^2}{2}\) for \(m\)
\(p = \dfrac{3y}{q}\) for \(y\)
- Answer
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\(y=\dfrac{pq}{3}\)
\(\dfrac{ym}{b} = \dfrac{c}{d}\) for \(y\)
\(g = \dfrac{h}{i}\) for \(h\)
- Answer
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\(h=gi\)
\(\dfrac{f}{g}x = b\) for \(x\)
\(c = \dfrac{4y}{m + n}\) for \(y\)
- Answer
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\(y=\dfrac{cm+cn}{4}\)
\(\dfrac{rs}{a − 3} = k\) for \(r\)
\(\dfrac{k − m}{r} = q\) for \(k\)
- Answer
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\(k=qr+m\)
\(T = \dfrac{D − d}{L}\) for \(D\)
\(I = \dfrac{E_a − E_q}{R}\) for \(E_a\)
- Answer
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\(E_a=IR+E_q\)
\(C = \dfrac{5}{9} (F − 32)\) for \(F\)
\(P = n(p − c)\) for \(n\)
- Answer
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\(n=\dfrac{P}{p-c}\)
\(L = L_0(1 + at)\) for \(L_0\)
\(q = 6(L − p)\) for \(L\)
- Answer
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\(L=\dfrac{q+6p}{6}\)
\(F = k(R − L)\) for \(k\)
\(Q_1 = P(Q_2 − Q_1)\) for \(Q_2\)
- Answer
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\(Q_2=\dfrac{Q_1+PQ_1}{P}\)
\(L = π(r_1 + r_2) + 2d\) for \(r_1\)
\(P = \dfrac{V_1(V_2 − V_1)}{g}\) for \(V_2\)
- Answer
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\(V_2=\dfrac{Pg+V_1^2}{V_1}\)
\(R = \dfrac{kA(T_1 + T_2)}{d}\) for \(T_1\)