Finding the Unknown

What is the value of $x$ in $\frac{x}{5} = 1$?

Solve for $z$: $12z = 48$.

Find $x$ if $x - 100 = 0$.

If $y/4 = 0.5$, then $y$ is:

Find the value of $x$ in $\frac{x}{2} + \frac{x}{4} = 6$.

Determine $x$ from the equation $x + 5 = 2x - 3$.

Find $x$ if $4(x + 1) = 20$.

The angles of a triangle are $(x+10)^{\circ}$, $(2x-30)^{\circ}$ and $x^{\circ}$. Find the largest angle.

If $\frac{3x}{2} + \frac{1}{4} = x - \frac{1}{2}$, find $x$.

A number increased by 20% gives 42. Find the number.

Solve for $y$: $y/5 = 1$.

What is $x$ if $2x + 1 = 7$?

Solve for $m$: $m + 6 = 1$.

What is the solution of $4x = 0$?

Determine the value of $x$ for the equation: $\frac{x}{0.5} = 4$

Solve for $x$: $2(x + 1) = 10$

Find the value of $x$ if $3x + 1 = x + 11$

Find the value of $k$: $\frac{3k-2}{4} - \frac{2k+3}{3} = \frac{k-5}{6}$

Solve for $x$: $\frac{2x+3}{5} + \frac{x-1}{2} = \frac{3x+2}{4}$

A father is $26$ years older than his son. In $4$ years, his age will be $3$ times the age of his son. Find the father's present age.

Find the value of $x$ in $x + 2 = -2$.

Solve: $10 - x = 15$.

Find $x$ if $3x + 1 = 13$.

Solve for $y$: $\frac{y}{8} = 0.5$.

In $x + 7 = 7$, a student says there is no solution. What is the value of $x$?

Solve $0.5x = 10$. A student says $x = 5$. What is the correct value of $x$?

A student thinks $x=5$ is the solution to $2x - 3 = 13$. What is the actual value of the LHS when $x=5$?

Find the value of $x$ that satisfies $\frac{1}{x+1} + \frac{1}{x+2} = \frac{2}{x+10}$. (Hint: Cross-multiply carefully).

Solve for $x$: $\frac{2x - (7 - 5x)}{9x - (3 + 4x)} = \frac{7}{6}$.

The length of a rectangular plot exceeds its breadth by 5 meters. If the perimeter is 142 meters, find the length of the plot.

What is the solution of $x + 12 = 20$?

In the equation $2y = 10$, $y$ is the ________.

Solve $5x = 5$.

If $x$ is a number, how do you represent '3 less than $x$'?

What is the historical significance of the equality sign (=) in an algebraic equation?

If $4x = 2$, then $x$ is equal to:

Find the value of $x$ if $x - 0.1 = 0.9$.

Find the value of $x$ that satisfies the equation: $2x - [3x - \{4x - (5x - 6)\}] = 8$

In the history of mathematics, the word 'Sine' originates from 'Jya' used by Indian mathematicians. Which mathematician's work provided the foundation for this while solving for unknowns in triangles?

Solve for $x$: $\frac{3x - 1}{4} + \frac{x - 2}{3} = \frac{x + 1}{2}$