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Algebra CBSE Class 6

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Video Based Test funda (Please watch the above videos before attempting this assessment)
Question 1/20

Q 1. Which of the following is not true? 

Solution

a / b    b / a 

Q 2. Which of the following is not an algebraic expression? 

Solution

12x = 0 is an algebraic equation. 

Q 3. Amey’s age is twice the age of his sister. If his sister’s age is 3x, then Amey’s age is 

Solution

Amey’s age is twice the age of his sister.

Amey’s age = 2 × 3x = 6x 

Q 4. Cost of a pen is Rs. 10 more than that of a pencil. If c is the price of the pen, then the price of the pencil is 

Solution

Cost of a pen is Rs. 10 more than that of a pencil.

Cost of the pen - 10 = Cost of the pencil

c - 10 = Cost of the pencil 

Q 5. Which of the following is an algebraic equation? 

Solution

An algebraic equation has LHS and RHS joined by a '=' sign. 

Q 6. The solution of x + 15 = 10 is 

Solution

x + 15 = 10

x + 15 − 15 = 10 − 15

x = −5 

Q 7. What is the solution of 5x − 3 = 18? 

Solution

5x − 3 = 18

5x + 3 − 3 = 18 − 3

5x = 15

At x = 3, we get LHS = 15. 

Q 8. Which of the following is an algebraic expression? 

Solution

10x + 32.01 is an algebraic expression. 

Q 9. Atul has thrice the number of marbles owned by Ravi. If Atul has 6m + 12 marbles, then which of the following is true? 

Solution

Atul has 6m + 12 marbles = 3 × number of marbles owned by Ravi.

6m + 12 = 3 × number of marbles owned by Ravi

Number of marbles owned by Ravi = (6m + 12) ÷ 3 = 2m + 4 

Q 10. The cost of 10 blue marbles and 6 white marbles is Rs. 50. If the cost of 1 blue marble is ‘b’, then the cost of a white marble is 

Solution

The cost of 10 blue marbles and 6 white marbles is Rs. 50.

10 b + 6 white marbles = 50

White marbles = (50 - 10 b) ÷ 6 

Q 11. The solution of x - 3 = 7 is 

Solution

x − 3 = 7

x −3 + 3 = 7 + 3

x = 10 

Q 12. Which of the following is not an algebraic expression? 

Solution

5 = x - 2 is an algebraic equation. 

Q 13. Form an algebraic equation for the number of bricks required to make a wall (w) if 15 bricks (b) are used. 

Solution

1 wall = 15 bricks

1w = 15b 

Q 14. The constant in the expression 6y + 3 is 

Solution

3 is the constant in the expression 6y + 3. 

Q 15. Which of the following expressions denotes that the cost a dozen apples is Rs. 130 if the cost of 1 apple is a? 

Solution

12 apples = Rs. 130

12a = 130 

Q 16. What is the solution of 2x +5 = 23? 

Solution

2x + 5 = 23

2x + 5 − 5 = 23 − 5

2x = 18

At x = 9, we get LHS = 18. 

Q 17. Which of the following is not true? 

Solution

a − b    b - a 

Q 18. What is the solution of 3x = 15? 

Solution

3x = 15

Putting x =5, we get LHS = 15.

So, x = 5. 

Q 19. What is the solution of 4x + 2 = 18? 

Solution

4x + 2 = 18

4x + 2 − 2 = 18 − 2

4x = 16

At x = 4, we get LHS = 16. 

Q 20. What is the solution of 5x = 25? 

Solution

5x = 25

Putting x =5, we get LHS = 25.

So, x = 5. 

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