Kuulchat - Senior High School (S.H.S) Mathematics Change of Subject Practice Test Questions

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CHANGE OF SUBJECT

1.

Make x the subject of the relation y = $\sqrt{\frac{px}{r} - r^{2} x}$ .

A.

x = $\frac{r y^{2}}{p - r^{3}}$

B.

x = $\frac{p - r^{3}}{r y^{2}}$

C.

x = $\frac{ry}{p - r^{3}}$

D.

x = $\frac{y^{2}}{p - r^{2}}$

y = $\sqrt{\frac{px}{r} - r^{2} x}$

Get rid of the square root by squaring both sides of the equation.

y² = $\frac{px}{r} - r^{2} x$

Factorize x out.

y² = x( $\frac{p}{r} - r^{2}$ )

Every number is being divided by 1

r² = $\frac{r^{2}}{1}$

y² = x( $\frac{p}{r} - \frac{r^{2}}{1}$ )

y² = x( $\frac{p - r x r^{2}}{r}$ )

Note: r x r² = r^{1 + 2} = r³

y² = x( $\frac{p - r^{3}}{r}$ )

Multiply both sides by r to get rid of the fraction.

y² x r = x(p - r³)

ry² = x(p - r³)

Divide both sides by (p - r³)

x = $\frac{r y^{2}}{p - r^{3}}$

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CHANGE OF SUBJECT

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