Solving an Equation Using Transposition

Q.

The length and breadth of a rectangle are directly proportional. If the length increases from $6cmto21cm$ and breadth now is $14cm$, then what was the breadth before any change in length occurred?

Q.

What should be added to $6\frac{7}{15}$ to get $8\frac{1}{5}$

Q.

Find $x$ in $2x+5=3x-10$

Q.

Solve fo x : 5x + 10 = 25

1. 4

2. 2

3. 3

4. 5

Q.

At point of satiety, marginal utility is:

1. Zero

2. Positive

3. Negative

4. Maximum

Q.

Solve for $x$:

$\frac{x-2}{3}=\frac{2x}{7}$

Q.

$9$ decreased by $n$ is written as:

1. $n-9$

2. $\frac{n}{9}$

3. $9n$

4. $9-n$

Q. If $\frac{2x}{9}=8,$ then the value of $x$ which balances the equation is .

1. 46
2. 26
3. 36

Q. The sum of two integer is –654. If one number is –254, find the other number

Q.

A number when decreased by 50 becomes -50. Can you find the number?

1. 0

2. 100

3. -100

4. 50

Q.

One third of a number is 33. Can you find the number?

1. -11

2. 99

3. 11

4. -99

Q.

Solve the equation : $5y-5=10$

1. 3

2. 4

3. 1

4. 2

Q.

Solve the equation : $\frac{p}{6}=-5\frac{1}{2}$

1. 33

2. -11

3. 11

4. -33

Q.

The difference of two integers is 56 . If the smaller one is -87, then find the larger number.

Q.

Write an expression for the following statement:
$4$ times a number decreased by $12$.

Q.

Solve the following equations.

$6m+18=27$

Q.

Find the value of 'a', 'b', 'c', 'd', 'e' in the given tree.

1. a-3, b-2, c-3, d-2, e-5

2. a-2, b-5, c-5, d-3, e-2

3. a-3, b-2, c-2, d-5, e-2

4. a-2, b-3, c-3, d-1, e-10

Q. Shivaji galloped with his horse for 21 km. He crossed the river which was $\frac{1}{3}$ the length he covered with the horse. Since his horse developed an injury, he had to trudge along with his horse and cover the remaining distance which was 4 times the breadth of the river. Calculate the total distance covered by him.

Q.

Find the value $x$, if:
$7+4x=3x+9$

1. 9

2. 7

3. 2

4. 3

Q.

Solve the equation $\frac{5x-3}{12}=1$. The value of $x$ is

1. 2

2. 4

3. 3

4. None of these

Q.

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

1. 3

2. 7

3. 9

4. 5

Q.

The length of a rectangular notebook is 15 cm and the perimeter is 50 cm. Find the width of the notebook.

1. 8 cm

2. 9 cm

3. 10 cm

4. 11 cm

Q. Match the following algebraic equations to their corresponding values of 'x'.

1. 27
2. 9
3. 10
4. 8

Q. Simplify: $23-9÷(5\times 3-12)$

1. 20
2. -4
3. 13
4. 23

Q.

If $a=2,b=3,c=4$, find the value of : $2c-3b-a$

Q.

Solve the equation : $\frac{p}{6}=-5\frac{1}{2}$

1. 11

2. 33

3. -33

4. -11

Q. If we wish to multiply 3 and 4 first and then divide 12 by the resulting number, we write the expression as

1. (12 ÷ 3 ) x 4
2. 12 ÷ (3 x 4)
3. 12 x (3 ÷ 4)
4. (12 x 3) ÷ 4

Q.

Solve for x:
$\frac{x-2}{3}=\frac{2x}{7}$

1. 7

2. -14

3. 14

4. None of the above

Q.

Solve the equation : $5y-5=10$

1. 1

2. 2

3. 3

4. 4

Q.

$36+\_\_\_\_\_\_=100$