Formation of Linear Equations

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. Geeta’s age is 3 years more than thrice m, the age of Meeta. Write an equation of first degree to display this information.

  g + 3 = 3m

 g – 3 = 3m

 g + 3m + 3 = 0

 g – 3m + 3 = 0

Question 1 of 20

2. Which of the following is not a linear equation?

 A

 B

 C

 D

Question 2 of 20

3. A linear equation in one variable is an equation of the form ………..

 ax + b = 0, where a, b , c are real numbers

 ax = c, where a and c are real numbers

 by = c, where band c are real number

 All of above

Question 3 of 20

4. The Equation y = – 5, in two variables can be written in the form of ax + by + c = 0 as

 1.x + 0.y + 5 = 0

 0.x + 1.y -5 = 0

 0.x + 1.y + 5 = 0

 1.x + 0.y -5 = 0

Question 4 of 20

5. Which of the following equations is linear equation in two variables?

 A

 B

 C

 D

Question 5 of 20

6. The number of girls x in a class is 5 less than twice the number of boys y of the same class. The linear equation in two variables for this information is

 x + 5 = 2y

 2x – y = 5

 2y – x = -5

  x + 2y = -5

Question 6 of 20

7. The speed x of train A is twice the speed y of the train B. Express this in the form of a linear equation.

 x = y + 2

 x = 2y

  x = y/2

  x = y – 2

Question 7 of 20

8. The cost of a pencil is thrice the cost of rubber.
The equivalent linear equation in two variables of above statement is:

 p = 3 -r

 p =1/3 +r

 p = 3r

 p = 3 + r

Question 8 of 20

9. The linear equation x = 5 can be written in two variables as:

 0.x + 1.y + (-5) = 0

 1.x + 1.y + (-5) = 0

 1.x + 5 = 0

  1.x + 0.y + (-5) = 0

Question 9 of 20

10. The equation in two variables is expressed as:

 A

 B

 C

 D

Question 10 of 20

11. Which of the following is linear equation?

 A

 B

 C

 D

Question 11 of 20

12. Which of the following is a linear inequality with two variables?

  2x + 8y ≥ 9

 8x + 9y = 0

 10x + 7 ≤ 2

 None of the above

Question 12 of 20

13. Which of the following is not true?

 The coefficients of x and y in a linear equation in x and y must be rational numbers.

 There’s only one set of values of x and y that satisfy a linear equation in x and y.

 A linear equation is an equation of first degree

 For a linear equation in x the coefficient of y is zero.

Question 13 of 20

14. The coefficients a,b, c in the following linear equation of the form ax + by + c = 0 is of the equation are

 A

 B

 C

 D

Question 14 of 20

15. If half of the cake is equal to the six pastries then the linear equation in two variables of above statement is expressed as

 A

 B

 C

 D

Question 15 of 20

16. For an equation ax + by + c = 0 to be a linear equation,which one of the following conditions should be satisfied?

 a and c shouldn’t be zero at the same time

 a and b shouldn’t be zero at the same time

 b and c shouldn’t be zero at the same time

 c should be non zero

Question 16 of 20

17. Which of the following is a linear equation in one variable?

 x + 5 = 6

 2x +3y = 0

 x² = 5x + 3

 5x = y² + 3

Question 17 of 20

18. Which of the following is linear equation?

 A

 B

 C

 D

Question 18 of 20

19. Difference between the cost of a carpet(C) and a durries(D) is Rs.200. If the carpet the costlier one of the two, which of the following represents this information?

 C – D = 100

  C – D = 200 C-D=200

 D – C = 200

 C + D = 200

Question 19 of 20

20. Four times B’s age exceeds A’s age by twenty years.

 4B – A = 20

 3B – 2A = 18

 5B – 3A = 25

 5B – 7A = 16

Question 20 of 20

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