Linear Expression on One Side and Numbers on the Other Side

Q. The ratio of the present ages of Rahim and his wife is 4:3.After 4 years, the ratio of their ages will be 9:7. Then find the required equation.

1. $\frac{4x+1}{3x+3}=\frac{9}{7}$
2. $\frac{4x+4}{3x+4}=\frac{9}{7}$
3. $\frac{4x-4}{4x+3}=\frac{7}{9}$
4. $\frac{4x+2}{3x}=\frac{7}{9}$

Q.

The total number of variables in the equation 3a + b + 6ab = 0 is 3.

1. 3

2. 12

Q.

Find two consecutive natural numbers such that the sum of their squares is $365$.

Q. In a linear equation, the highest power of variable is _____.

1. 3
2. 2
3. 0
4. 1

Q.

Solve the following equations.

$\frac{7a}{8}=-14$

Q.

Present ages of Sita and Geeta are in the ratio 4 : 5. Eight years from now the ratio of their ages will be 5 : 6. Find their present ages. [4 MARKS]

Q.

The value of $x$ which satisfies the equation $ax+b=0,a\ne 0$ is known as

1. Order of the equation
2. Degree of the equation
3. Solution of the equation
4. Not a solution of the equation

Q.

Fill in the blanks to make the statement true:

$\frac{x}{5}+30=18$ has the solution as _______.

Q. $\text{The value of}x\text{satisfying the equation}x-\frac{7}{5}=\frac{13}{5}\text{is\_\_\_.}$___

Q.

Solve the following equations:

$12\mathrm{x}=24$

Q.

Which of the following values of x makes the equation 8x+1 = 3+6x true?

1. 2

2. 3

3. 4

4. 1

Q.

The total number of variables in the equation 3a + b + 6ab = 0 is 3.

1. 3

2. 12

Q.

The solution of the equation $\frac{3}{7}+x=\frac{17}{7}$ is 2.

1. False

2. True

Q. In a linear equation, the highest power of variable is _____.

1. 3
2. 2
3. 0
4. 1

Q. Arrange the following in increasing order of the number of variables present in them from top to bottom.

1. 3x + 5y
2. 2
3. xy + 2a
4. x + 2x

Q. The value of x which satisfies the equation $ax+b=0,a\ne 0$ is known as ________. Fill in the blank with the correct option.

1. Degree of the equation
2. Solution of the equation
3. Order of the equation
4. Not a solution of the equation

Q.

When 'x' is replaced with '4', the equation x + 5 = 8 holds true.

1. True

2. False

Q. The value of x which satisfies the equation $ax+b=0,a\ne 0$ is known as ________.
Fill in the blank with the correct option.

1. Degree of the equation
2. Solution of the equation
3. Order of the equation
4. Not a solution of the equation

Q. The value of $x$ which satisfies the equation $ax+b=0,a\ne 0$ is known as

1. Degree of the equation
2. Solution of the equation
3. Order of the equation
4. Not a solution of the equation

Q.

The value of $x$ satisfying the equation $x-\frac{7}{5}=\frac{13}{5}$ is___

Q. The value of x which satisfies the equation $ax+b=0,a\ne 0$ is known as

1. Degree of the equation
2. Solution of the equation
3. Order of the equation
4. Not a solution of the equation

Q. $\text{If}2a-3=5$
$\text{and}3b+1=2$,
$\text{then find the value of}(3b-2a).$

1. -7
2. 7
3. - 9
4. -3

Q.

The value of x in5x + 10 = 25 is:

1. 15
2. 3
3. 25
4. 5

Q. Solve for y: 2y + 9 = 21

1. 10
2. 4
3. 6
4. 15

Q.

$\text{Solve for x:}$

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

1. 6

2. -5

3. 5

4. -6

Q.

What value of x will make the equation 4x + 7 = 11, a true statement?

1. 5

2. -5

3. 2

4. 3/2

Q.

Solve the equation. Check your solution.

$-\frac{1}{3}\left(4+z\right)=-\frac{5}{6}$