Performing Mathematical Operations on Equation

Q.

Solve:$5x+\frac{7}{2}=\frac{3x}{2}-14$

Q.

Solve:$\frac{x}{2}+\frac{x}{4}=\frac{1}{8}$.

Q.

How to solve $2y+\frac{5}{2}=\frac{37}{2}$?

Q. Write the following statement in the form of an equation:
The number b divided by 6 gives 5.

1. 5b = 6
2. b – 5 = 6
3. $\frac{b}{6}=5$
4. b +5 = 6

Q. Solve the equation : $\frac{2x-1}{3}-\frac{6x-2}{5}=\frac{1}{3}$

1. $\frac{1}{2}$
2. $\frac{1}{8}$
3. $\frac{4}{5}$
4. $-\frac{1}{2}$

Q.

Solve the following equations :

$10p=100$

Q.

The solution to the equation $3x–4=1–2x$ is

Q. Choose the correct option which gives the steps in finding the value of 'x' in the equation:
$\frac{x}{3}+4=2$

1. Step 1: Subtract 2 from both the sides
   Step 2: Multiply by 3 on both the sides
2. Step 1: Subtract 4 from both the sides
   Step 2: Multiply by 3 on both the sides
3. Step 1: Multiply by 3 from both the sides
   Step 2: Subtract 4 on both the sides
4. Both B and C are correct

Q.

Solve each of the following equation:
$4x=-6$

Q.

Find the value of x, if 3x + 2 = 8.

1. 2

2. 3

3. -2

4. -3

Q.

Solve the given equation :

$5(2x-1)-3(6x-2)=5$

1. $\frac{1}{2}$

2. $\frac{1}{8}$

3. $\frac{4}{5}$

4. $-\frac{1}{2}$

Q.

Solve the following equation

$2x+5=17$

Q. Solve : $\frac{7x-1}{4}+\frac{14}{3}=\frac{1}{3}[7x-\frac{1-x}{2}]-\frac{5x}{3}$

1. $x=-5$
2. $x=-2$
3. $x=7$
4. $x=6$

Q.

Choose the correct option which gives the steps in finding the value of $x$ in the equation:
$\frac{x}{3}+4=2$

1. Step 1: Subtract 4 from both the sides.
   Step 2: Multiply by 3 on both the sides.

2. Step 1: Multiply by 3 from both the sides.
   Step 2: Subtract 4 on both the sides.

3. Both options B and C are correct.

4. Step 1: Subtract 2 from both the sides.
   Step 2: Multiply by 3 on both the sides.

Q.

Solve the following equations and check the solutions obtained.

$4p+4=20$

Q. State true or false.
While solving the equation $\frac{x}{3}=-2$, when '3' is taken to the right side, '-2' is divided by 3.

1. True
2. False

Q.

Solve the following

$\frac{0.2x+5}{3.5x–3}=\frac{2}{5}$

Q.

Solve for $x$:
$\frac{5x-4}{6}=2+\frac{3x}{2}$

1. - 3

2. 4

3. - 4

4. 2

Q.

Solve the following equation: $\frac{8x-3}{3x}=2$

Q.

Solve the equation.

$3z=18$

Q. Solve the following equation :
(i) $\frac{3p}{4}=6$
(ii) $2q-6=0$

Q.

While solving the equation $\frac{x}{3}=-2$, when '3' is taken to the right side of the equality sign, it becomes a multiplier.

1. True

2. False

Q.

The solution of $\frac{2x+1}{3x-1}=\frac{3}{2}$ is

1. $x=1$

2. $x=2$

3. $x=-3$

4. $x=-1$

Q.

Solve each of the following equation:
$4x=8$

Q. Find the value of x .

Q.

If $3\times \left[(-6)+x\right]=3\times (-6)+3\times 10$ find the value of $x$.

Q.

Find the value of unknown variables by solving the given linear equation

$\frac{3x}{2}=-\frac{1}{8}$

Q.

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

1. - 6

2. 5

3. - 5

4. 6

Q.

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

1. 3, 5

2. 1, 5

Q. Solve the equation: $3s=-9$

1. s = 3
2. s = -3
3. s = -9
4. s = 9