Performing Mathematical Operations on Equation

Q.

Solve : $x-2x+2-\frac{16x}{3}+5=3-\frac{7}{2x}$

Q.

A father is 7 times as old as his son. 2 years ago the father was 13 times as old as his son. How old are they now?

Q.

The value of the variable for which LHS and RHS of an equation are equal is called ___ of an equation.

Q.

If radio station call letters must begin with either $\mathrm{K}$ or $\mathrm{W}$ and must include either two or three additional letters, How many different possibilities are there?

Q.

Solution of all one variable linear equation should be rational number.

1. True

2. False

Q.

How to solve this equation

1/5(1/3x-5)= 1/3(3-1/x)

Q. Rakesh is 22 years older than his son who is 8 years . After how many years would the age of Rakesh be 2 times that of his son ?

Q.

Solve linear equation:
$\frac{n}{2}-\frac{3n}{4}+\frac{5n}{6}=21$

Q.

Find the value of $x$ in the equation
$\frac{x}{3}+4=2$

1. - 5

2. 5

3. - 6

4. 6

Q.

$23\times (-99)=\_\_\_\times (-100+\_\_\_)=23\times \_\_\_+23\_\_\_$. Fill in the blanks to make the statement true.

Q. What is the assumption we make while solving a linear equation in one variable?

1. The equation can have more than one solution.
2. The two sides of the equation are balanced.
3. We cannot add or subtract integers on either side of the equality.
4. The two sides of the equation are not balanced.

Q.

5t-3=3t-5

Q.

Solve for x in 3x + 2 = 8

1. 2

2. -2

3. 3

4. -3

Q.

Find the solution of
$\frac{3x}{1.5}+\frac{4x}{1.6}=4.5$ [2 MARKS]

Q. If we subtract $\frac{1}{2}$ from and multiply the result by $\frac{1}{2}$, we get $\frac{3}{8}$.

1. 1
2. 2
3. 1.25
4. 1.5

Q.

Solve the equation: $17+6p=9$

Q. Solve:
8x + 3 = 27 + 2x

Q.

If $\frac{3}{5}x+9=33$, then the value of $x$ is 40.

1. True

2. False

Q. Solve:
$\frac{9x-7}{3x+5}=\frac{3x-4}{x+6}$

Q.

Nikhil and his friends are playing Treasure Hunt. The solution to the equation $(4x-5)=2\left(x\right)+5$ gives the floor in which the treasure is kept.

In which floor is the treasure kept?

1. Second floor

2. Third floor

3. Fourth floor

4. Eighth floor

Q.

How can I solve this sum?

What should be added to twice the rational number-7/3 to get 3/7

Q. What do we get on adding $x+5$ and $2x+3$?

1. $x+8$
2. $3x+8$
3. $3x+5$
4. $2x+8$

Q.

Solve : 5x = 2 + 3

1. 0

2. 1

3. 2

4. 3

Q. Solve:
3(5x − 7) − 2(9x − 11) = 4(8x − 13) − 17

Q.

Find the value of the following:

$(-600)\times 49+(-600)$

Q. Solve:
$\frac{2-7x}{1-5x}=\frac{3+7x}{4+5x}$

Q. Solve:
$\frac{3x+5}{4x+2}=\frac{3x+4}{4x+7}$

Q. $3x+x=2x+6$. The value of $x$ in the given equation is ___.

Q. $\text{Solve for x:}$

$\frac{x+1}{x+4}=\frac{2}{3}$

Q.

What must be done on both ends of the beam balance to evaluate $x$?

1. Divide by 5
2. Add 5
3. Multiply with 5
4. Subtract 5