Simple Equations

Set up an equation for: 'One-eighth of $x$ plus 4 is 9'.

Choose the correct equation: 'Seven times a number $z$ is 49'.

The statement '$y$ increased by 6 is 14' is expressed as:

Which equation matches: 'Three times $d$ minus 10 is 5'?

A rope of length $k$ meters is cut into $5$ equal pieces. If each piece is $4$ meters long, the equation is:

$18$ subtracted from a number $y$ is $2$. This is represented by:

The product of $4$ and a number $p$ is $36$. The equation is:

If $\frac{2}{3}$ of a number $y$ is added to $\frac{3}{4}$ of the same number, the result is 34. The equation is:

Subtracting 12 from 7 times a number $n$ is the same as adding 3 to 4 times the number. Choose the correct equation:

The length of a rectangle is thrice its breadth $b$. If the length is decreased by 5 and the breadth is increased by 5, the perimeter of the new rectangle is 40. The equation is:

If $s - 11 = 9$, then $s$ is:

Solve: $r + 2 = 22$

Solve for $q$: $\frac{q}{4} = 10$

Find $p$: $6p = 30$

Solve the equation: $\frac{2}{3}(x + 1) = 4$.

Find $k$ if $7k + 3 = 4k + 18$.

Solve for $x$: $0.1x + 0.01 = 0.11$.

Solve the equation: $\frac{2x - 3}{4} - \frac{3x - 2}{3} = \frac{x}{6} - 1$

Find $x$: $\frac{x + 3}{2} - \frac{x - 2}{3} = \frac{5x + 1}{6}$

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

Four times a number $x$ plus $1$ is $17$. Find $x$.

A number $v$ divided by $3$ is $7$. Find $v$.

Six times a number $t$ is $54$. Find $t$.

Eleven subtracted from a number $r$ is $9$. Find $r$.

The length of a rectangle is thrice its breadth. If the perimeter is $64$ cm, find the length.

The sum of three consecutive even integers is $48$. What is the middle integer?

A shopkeeper sells $4$ shirts for $x$ amount each. After applying a discount of $50$ on the total bill, a customer pays $750$. What is the price of one shirt before discount?

The base of an isosceles triangle is $4/3$ cm. The perimeter of the triangle is $4 \frac{2}{15}$ cm. What is the length of either of the remaining equal sides?

Two numbers are in the ratio $5:3$. If they differ by $18$, what is the larger number?

A sum of Rs $2700$ is to be given in the form of $63$ prizes. If the prize money is either Rs $100$ or Rs $25$, find the number of prizes of Rs $100$.