Methods of Solving an Equation

Q.

If you subtract $\frac{1}{2}$ from a number and multiply the result by $\frac{1}{2}$, you get $\frac{1}{8}$.What is the number?

Q.

Which is greater: $\left(\frac{2}{7}\right)of\left(\frac{3}{4}\right)$or $\left(\frac{3}{5}\right)of\left(\frac{5}{8}\right)$

Q.

Question 1

The solution of the equation ax + b = 0 is

(a) $\frac{a}{b}$

(b) -b

(c) $-\frac{b}{a}$

(d) $\frac{b}{a}$

Q. Question 3(f)
Solve the following equations :
0=16+4(m-6)

Q.

Question 18

Shifting one term from one side of an equation to another side with a change of sign is known as

(a) commutativity
(b) transposition
(c) distributivity
(d) associativity

Q.

A positive number is $5$ times another number. If $21$ is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

Q. Question 3(a)
Solve the following equations:
4=5(p-2)

Q. Question 2(g)
Solve the following equations :
4+5(p-1)=34

Q.

Question 10

If 43m = 0.086, then the value of m is

(a) 0.002

(b) 0.02

(c) 0.2

(d) 2

Q. Question 4(j)
Solve the following equation :
2q-6=0

Q.

Give the steps you will use to separate the variable and then solve the equation: $5m+7=17$.

Q. If 5 is added to twice of a number, then the result is 29. Find the number.

1. 12
2. 10
3. 9
4. 11

Q. Question 1(b)
Solve the following equations:
5t+28=10

Q.

If the lines of regression are $3x+12y=19$ and $3y+9x=46$, then $r_{xy}$ will be

1. $0.289$

2. $-0.289$

3. $0.209$

4. None of these

Q. Question 4(l)
Solve the following equation:
2q+6=12

Q.

Solve the following equation:
$\frac{5}{2}x=\frac{25}{4}$

Q. Question 2(b)
Solve the following equations:
3(n-5)=21

Q. Question 2(a)
Solve the following equations:
2(x+4)=12

Q. Question 4(g)
Solve the following equation :
3s+12=0

Q.

Question 2

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

(a) positive number

(b) negative number

(c) 1

(d) 0

Q. Question 1(i)
Solve the following equations :
$\frac{3l}{2}=\frac{2}{3}$

Q. Question 1(c)
Solve the following equations:
$\frac{a}{5}+3=2$

Q.

Question 19

The sum of the two numbers is 60 and their difference is 30.

(a) If smaller number is x, the other number is .................
(b) The difference of numbers in term of x is ...............
(c) The equation formed is ...............
(d) The solution of the equation is .................
(e) The numbers are ................. and ................

Q.

Question 6

If 7x + 4 = 25, then x is equal to

(a) $\frac{29}{7}$

(b) $\frac{100}{7}$

(c) 2

(d) 3

Q.

Question 7

The solution of the equation 3x + 7 = - 20 is

(a) $\frac{17}{7}$

(b) -9

(c) 9

(d) $\frac{13}{3}$

Q. Question 4(e)
Solve the following equation :
$\frac{3p}{4}=6$

Q.

Question 8

The value of y for which the expressions (y - 15) and (2y + 1) become equal is

(a) 0

(b) 16

(c) 8

(d) - 16

Q. Question 4(k)
Solve the following equation:
2q+6=0

Q. Question 4(c)
Solve the following equation:
$\frac{p}{4}=5$

Q. Question 3(d)
Solve the following equations:
10=4+3(t+2)