Solution of an Equation

Q. If $\frac{17(2-x)-5(x+12)}{1-7x}=8$ , then the value of '$x$'is:

1. $8$
2. $2$
3. $1$
4. $-1$

Q. The value of 'x' for which the expressions $5x+4$ and $3x+2$ become equal is:

1. $2$
2. $1$
3. $-1$
4. $-3$

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

1. degree
2. solution
3. order

Q.

Raj went shopping with a certain amount of money. He spent ₹$\frac{1}{4}$ on buying a pen and ₹$25\frac{3}{4}$ in food. He then gave the remaining ₹$16\frac{1}{2}$ to his friend. Calculate how much money he initially had.
(A) ₹$52\frac{3}{4}$
(B) ₹$51\frac{1}{4}$
(C) ₹$52\frac{1}{2}$
(D) ₹$53\frac{1}{4}$

Q.

Plato was born in $429\mathrm{B}.\mathrm{C}.$ and died in $348\mathrm{B}.\mathrm{C}.$. How long did he live?

Q.

The equation 5t - 4 = 1 is satisfied when the value of t = 1.

1. True

2. False

Q. What is the excess of $75$ over $48.29$

Q.

If $a$ and $b$ are positive integers then the solution of the equation $ax=b$ has to be always:

1. One

2. Zero

3. Positive

4. Negative

Q. If $x+5=10$, then the value of $8x-30$ is:

1. $5$
2. $10$
3. $15$
4. $40$

Q.

The monthly income of Tom is$₹120000$. He spends $\frac{1}{6}$his income on the education of his children, and $\frac{1}{3}$on the payment of his housing-loan installment. Of the remaining amount, he spends $\frac{1}{4}$on food and $\frac{2}{5}$on the rest items. Find the sum of money left with him.

Q.

Solve for $x$.
$\frac{x+4}{x-2}=\frac{4}{7}$

1. -11

2. 11

3. -12

4. 12

Q. The solution for $\frac{2}{x+3}-\frac{4}{x-3}=\frac{-6}{x+3}$ is:

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

Q. Set up an equation and solve it to find the unknown number:
3 is added to three-fourth of a number to get 21. [3 marks]

Q.

If $a=x$ then which number satisfies the equation: $x+\frac{a}{2}=(2x-5)$?

1. $10$

2. $5$

3. $2$

4. $7$

Q.

Find $x$, if $\frac{2}{5}+x=\frac{3}{5}$

1. 1

2. $\frac{1}{5}$

3. $\frac{-1}{5}$

4. -1

Q. Solve the equation
$-4+(-1)+2+...+x=437$

Q. $x=5,y=2$ is a solution of the linear equation

1. $x+2y=7$
2. $5x+2y=7$
3. $x+y=7$
4. $5x+y=7$

Q. If $\frac{(8x-5)}{2x}=3$, then the value of '$x$' is:

1. $\frac{7}{5}$​
2. $\frac{5}{2}$​
3. $\frac{3}{4}$​
4. $-\frac{5}{2}$​

Q. Find the value of $2x+4y$, if x = 2 and y = 3.

1. 16

Q.

If $a$ and $b$ are positive integers, then the solution of the equation $ax=b$ will always be a

1. positive number

2. negative number

3. $1$

4. $0$

Q. Solve the following equation:
10p + 10 = 100

Q. On transposing 3 in the equation $x+3=9$, we get $x=9-3$

1. True
2. False

Q. On transposing 3 in the equation $x+3=9$, we get $x=9-3$

1. True
2. False

Q. Transposing 4 in the equation $\frac{x+5}{3}+4=3$ results in $\frac{x+5}{3}=1$

1. False
2. True

Q. Tulika is 3 times as old as her cousin. The sum of their ages is 36 years. The age of Tulika is years.

1. 9
2. 5
3. 27

Q. On transposing 3 in the equation $x+3=9$, we get $x=9-3$

1. True
2. False

Q. Fill in the missing place in the following equation:
$\frac{3}{7}(--+14)=7$

1. $\frac{3}{7}$
2. $\frac{35}{7}$
3. $\frac{5}{3}$
4. $\frac{7}{3}$

Q.

Frame an equation: Sum of two consecutive numbers is 27.

1. 2x + 1 = 27

2. x + 2 = 27

3. 2x + 2 = 27

4. x + 1 = 27

Q.

What is the value of $x$ if $\frac{2}{5}=\frac{20}{x}$.

Q. If 5x - 7 = 2x + 10, then the value of 'x' is

1. $\frac{5}{3}$
2. $\frac{17}{3}$
3. $-\frac{17}{3}$
4. $0$