The Solution of the equation ax+b = 0 is 

1

(a)

\(x=\frac { a }{ b } \)

(b)

x = -b

(c)

\(x=\frac { -b }{ a } \)

(d)

\(x=\frac { b }{ a } \)

A linear equation in one variable has

1

(a)

only one solution

(b)

no solution

(c)

two solutions

(d)

more than two solutions

If \({2\over 5}x=\)4; then which of the following is the value of x?

1

(a)

10

(b)

-10

(c)

\({-8\over 5}\)

(d)

\({8\over 5}\)

10 years ago, I was 'x' years old. After 10 years, my age will be:

1

(a)

(x + 20) years

(b)

(x - 20) years

(c)

(x + 10) years

(d)

(x - 10) years

In a linear equation, ............power of the variable appearing in the equation is one.

1

(a)

Highest

A term of an equation can be transposed to the other side by changing its.........

1

(a)

Sign

19 is subtracted from the product of P and 14. The result is 21. The value of P is

1

(a)

\(\because\) (p x 14) - 19 =21 \(\Rightarrow\)149 -19 = 21
14p = 40 \(\Rightarrow\) p=\(\frac { 40 }{ 14 } =\frac { 20 }{ 7 } =2\frac { 6 }{ 7 } \)

If 4t - 3 - (3t + 1)= 5t - 4, then the root of t is.....

1

(a)

4t - 3 - (3t + 1)= 5t - 4
\(\Rightarrow\) 4t - 3 - 3t - 1= 5t - 4 \(\Rightarrow\) t - 4 = 5t - 4
\(\Rightarrow\) t - 5t =-4 +4  -4t = 0 \(\Rightarrow\)  t = 0

An equation which, when reduced to a simple form, involve no power of the variable quantity higher than _______ is called a simple equation.

1

(a)

One

When we divide by same non-zero number on both sides (i.e. LHS and RHS) of an equation. Then, balance is disturbed.

1

(a) True

(b) False

In the equation 13x - 4 = 9, transposing -4 to RHS, we get 13x = 5.

1

(a) True

(b) False

If 16x = 80, then 18x = 90 

1

(a) False

(b) True

In a two-digit number, the unit's place digit is x. If the sum of digits be 9, then the number is (10x - 9).

1

(a) True

(b) False

Two different equations can never have the same answer.

1

(a) True

(b) False

Solve the following equations 6 = Z + 2

2

(a)

Solve the following equations and check your result. \(\frac { 2x }{ 3 } +1=\frac { 7x }{ 15 } +3\)

2

(a)

The numerator of a fraction is 6 less than the denominator. If 1 is added to both numerator and denominator, it becomes \(\frac { 1 }{ 2 } \) then find the fraction.

2

(a)

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?

3

(a)

Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add upto 74. Find these numbers.

3

(a)

Simplify and solve the following linear equations:
3 (5z - 7) - 2 (9z - 11) = 4 (8z - 13) - 17

4

(a)

Solve the following linear equations:
m-\(\frac{m-1}{2}\)=1-\(\frac{m-2}{2}\)

4

(a)

The organisers of an essay competition decide that a winner in the competition gets a prize of Rs. 100 and a participant who does not win, gets a prize of Rs. 25. The total prize money distributed is Rs. 3000. Find the number of winners, if the total number of participants is 63.

5

(a)

In a rare coin collection, there is one gold coin for every three non-gold coins. If 10 more gold coins are added to the collection, the ratio of gold coins to non-gold coins becomes 1 : 2. Based on the information, find the total number of coins in the collection now?

5

(a)