Linear Equations in One Variable

Q. There are 100 multiple choice questions in an examination.for every correct answer the student gets 5 marks and for every wrong answer 2 marks are deducted from the total score of correct answers.suppose the student attempts all the questions and his total score is 220, how many questions did he attempt correctly?

Q. Define linear equation in one variable.

Q.

0 to the power of 0 is?

Q.

The product of two numbers is 1296. If one number is 16 times the others find the numbers.

Q.

Linear equation in one variable has:

1. Only one variable with any power

2. Only one term with a variable

3. Only one variable with power $1$

4. Only constant term

Q.

If 1.5x=0.04y then the value of y-x/y+x is?

Q. Solve for y: 9y = 180

1. 16
2. 20
3. 24
4. 30

Q.

Which of the following are equations?

1. 3x - 5y + 6z

2. 4b = 6

3. 24x - 36 = 0

4. a = b

Q. Rs 3500 is to be shared among three people so that the first person gets 50% of the second, who in turn gets 50% of the third. How much will each of them get ?

Q. The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits is 1 : 2?

1. 8

Q. Solve linear equation:
$\frac{x-5}{3}=\frac{x-3}{5}$

Q.

The denominator of a rational number is greater than the numerator by $10$. If the numerator is increased by $1$ and the denominator is decreased by $1$, then expression for new denominator is _________.

Q.

Prove that AB*4=CAB

Q.

The sum of two consecutive even numbers is 90. The linear equation representing this condition is

1. 2x + 2 = 90

2. 2x + 6 = 90

3. x + 2 = 90

4. x + 6 = 90

Q. A linear equation in one variable is _________. Fill in the blank with the correct option.

1. An equation with one term
2. An equation with only one variable
3. An equation in which the highest power of the variable is one
4. An equation with two terms

Q. $2x-3=5$ is a _______.

1. quadratic equation
2. linear equation with no variable
3. linear equation in two variables
4. linear equation in one variable

Q.

Question 16

Fill in the blanks to make each statement true:

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

Q. Find the value of $x$ which balances the equation $\frac{2x}{9}=8$.

1. 72
2. 3
3. 36
4. 9

Q.

Which of the following equation(s) is a linear equation in one variable?

1. 2x + 3y = 10

2. 4a + 3b = 6

3. 2x = 3x + 4

4. 2x + 4z = 5

Q.

For a science exhibition, tickets for children cost 2 rupees and for adults, 5 rupees. 100 tickets were sold for one show, and 290 rupees was got. How many children were there for this show?

Q. In the linear equation 4x + 2 = 3, 4 is the ______ of x.

1. inverse
2. coefficient
3. associate
4. reciprocal

Q.

The diameter of a circle is twice the radius of the circle. Find the diameter of the circle whose radius is $15x$

Q. A number (n) when added to 14 gives 72.
Which of the following represents the above statement mathematically?

1. 72n = 14
2. n + 14 = 72
3. 14 - n = 72
4. 14n = 72

Q. Solve for y: 2y/3 = 10

1. 18
2. 15
3. 20
4. 12

Q.

Question 8

In the following question out of the four options only one is correct, write the correct answer.

Linear equation in one variable has:

(a) only one variable with any power.

(b) only one term with a variable.

(c) only one variable with power 1.

(d) only constant term.

Q. Fill in the blank with the correct option.
A linear equation in one variable is _________.

1. An equation with one term
2. An equation with two terms
3. An equation in which the highest power of the variable is one
4. An equation with only one variable

Q. What is the value of x, if 2x+9=21?

1. 5
2. 6
3. 7
4. 8

Q.

Convert into algebraic expression: $3$ is subtracted from $y$.

Q. What are values of x and y respectively for the given system of equations?
$5x-3y-8=0,and2x-3y-5=0$.

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

Q. If the highest degree of the variable in an equation with one variable is , then it is called a linear equation.

1. 2
2. 1
3. 3