Which of the following is a linear equation in one variable?

If $\sqrt{x}-\frac{1}{\sqrt{x}}=\sqrt{7}$ then the value of $x^2+\frac{1}{x^2}$ is:

Solve the following equation and verify the answer:

$16(3x-5)-10(4x-8)=40$

Solve the following equation and verify the answer:

$6(1-4x)+7(2+5x)=53$

$$\begin{gathered} 2 \mathrm{A} \mathrm{B} \\ +\mathrm{A} \mathrm{B} 1 \\ \mathrm{\_\_\_\_\_\_\_} \\ \mathrm{B} 1 8 \end{gathered}$$

Solve the following equation and verify the answer:

$3(x+6)+2(x+3)=64$

Solve the given equation and verify the answer:

$\frac{3x}{10}-4=14$

Pick out the solution from the values given in the bracket next to each equation.

Show that the other values do not satisfy the equation.
$5m=60 (10,5,12,15)$

Solve the given equation and verify the answer.

$\frac{n}{4}-5=\frac{n}{6}+\frac{1}{2}$

Solve the following equation and verify the answer:

$\frac{3}{4} (x-1)=x-3$