Solving an Equation

Q.

The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.

1. 10 and 15

2. 8 and 17

3. 19 and 6

4. 12 and 13

Q. If 20 metres of cloth costs Rs 3600, find the cost of 16 m of cloth.

Q.

If $15\mathrm{x}+17\mathrm{y}=21$, $17\mathrm{x}+15\mathrm{y}=11$ .Then find the value of $\mathrm{x}-\mathrm{y}$.

Q. Solve for x:
$4x=52$

1. 13
2. 14
3. 15
4. 16

Q. Two numbers are in the ratio 4 : 5. If their sum is 270, then the smaller number will be

1. 150
2. 120
3. 130

Q. For the equation: $3z+\frac{7}{2}$ = $\frac{5}{2}$, '$z$' is equal to ____.

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

2. $\frac{-2}{3}$

3. $\frac{2}{3}$

4. $\frac{1}{3}$

Q.

The value of $y$ that satisfies the equation $3(y+2)=12$ is

1. $4$

2. $2$

3. $3$

4. $7$

Q. Find the value of $x$ in the equation: $30x=90$

1. $27$
2. $120$
3. $3$
4. $60$

Q. Which of the following values of ‘$n$’ is a solution to the equation $2n-4=4$?

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

Q.

Write the following statements in the form of equations.

Three times $x$decreased by half of $14$is $11$

Q.

Twenty four is divided into two parts such that $7$ times the first part added to $5$ times the second part makes $146$. Find each part.

Q.

Alex purchases some make-up items and gets the following bill. What is the change in the value of the bill if the quantity of hair clip and hair pin are interchanged?

1. ₹10
2. ₹12
3. ₹8

4. ₹5

Q. Solve for $x$:
$9x=198$

1. $x=22$
2. $x=122$
3. $x=207$
4. $x=189$

Q. If $10$ be added to four times a certain number. the result is $5$ less then five times the number. Find the number.

Q. Brooklin's new printer can print 400 pages in 4 hours. What is printing rate of the printer in pages per hour?

1. 400
2. 100
3. 40
4. 4

Q.

Pick out the solution of the equation $3x-5=19$ from the values $5,3,8,11$. Show that the other values do not satisfy the equation.

Q. Which of the following values of ‘n’ is a solution to the equation 2n - 4 = 4?

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

Q. Solve
$\frac{1}{18}+\frac{1}{18}$

Q.

$\frac{3x}{4x}$ is a constant.

1. True

2. False

Q. $4x+25=7x+10$ is the given equation.
To solve the above equation, we take all variables on to one side and all constants to the other side of the equal to sign.

1. True
2. False

Q. If the equation c = 100 + n, represents the relation between the number of pages(n) and the income (c) for designing websites, the missing values are

1. 120 and 20
2. 105 and 10
3. 100 and 120

Q. Number of integers in range of $x$ which satisfies the following

Q.

Find the value of p.
$\frac{p}{12}=12$

1. 124

2. 136

3. 144

4. 164

Q. Solve for $x$:
$5x=60$

1. $x=300$
2. $x=12$
3. $x=55$
4. $x=65$

Q.

Find the value of x.

$3x+\frac{9}{3}=5x+\frac{5}{9}$

1. $\frac{22}{9}$

2. $\frac{11}{9}$

3. $\frac{5}{9}$

4. $\frac{9}{11}$

Q.

Pick out the solution from the values given within brackets:

$5\mathrm{x}=60$ $(10,5,12,15)$

Q. Solve:
$-5z=4$

Q.

State whether the statement is true or false:

$\frac{9}{5}$ is the solution of the equation $4\mathrm{x}-1=8$

1. True
2. False

Q. Solve: $y+16=32$

1. $y=48$
2. $y=18$
3. $y=16$
4. $y=40$

Q. Divide $3\frac{4}{5}$ by $1\frac{1}{2}$

1. i) Two ii) left iii) Two iv) Right

2. i) one ii) Right iii) one iv) left

3. i) two ii) Right iii) one iv) left

4. i) Two ii) Right iii) Two iv) left