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Algebra (Class VI)

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The equation 9/x = 3 is satisfied by which of the following values of x?

  1. 3

  2. 9

  3. 6

  4. 0

  5. 1


Correct Option: A
Explanation:

9/x = 3 9/3 = x 3 = x x = 3

Rahul thinks of a number 'x' and on adding 5 to it, he gets 12. The equation for this situation is

  1. x + 5 = 12

  2. x - 5 = 12

  3. x + 12 = 5

  4. x - 12 = 5

  5. x + (-5) = 12


Correct Option: A
Explanation:

The number is x. So, x + 5 = 12 

What does an equation denote?

  1. It has two sides.

  2. LHS and RHS are equal.

  3. It may or may not consist of any variable.

  4. All of the above

  5. None of the above


Correct Option: D
Explanation:

An equation has two sides, i.e. left and right, which are equal. It may or may not have any variable which can be found by using that equation.

The value of 'x' in the equation 8x - 8 = 56, is

  1. 64

  2. 8

  3. 9

  4. 5

  5. 1


Correct Option: B
Explanation:

8x - 8 = 56 8x = 56 + 8 8x = 64 x = 64/8 x = 8

Which of the following gives 24 as answer if the value of Z is 2?

  1. 12Z

  2. 12 + Z

  3. 12/Z

  4. 12 - Z

  5. None of these


Correct Option: A
Explanation:

If Z = 2, 12Z will be 12 x 2 = 24.

Kuljeet is 26 years old now. Z years ago, his age was

  1. 26 + Z years

  2. 26 – Z years

  3. 26/Z years

  4. 26Z years

  5. None of these


Correct Option: B
Explanation:

As now he is 26 years old, so Z years ago, his age was 26 - Z years.

If there are 12 students in one classroom and there are Z such classrooms, the total number of students is

  1. 12Z

  2. 12 + Z

  3. 12 - Z

  4. 12/Z

  5. None of these


Correct Option: A
Explanation:

Total number of students = (Number of classrooms) x (Number of students in each classroom) = 12Z

What type of equation is 25x + 6 = 106?

  1. Algebraic equation with one variable

  2. Algebraic equation with two variables

  3. Numeric statement

  4. Algebraic expression

  5. None of the above


Correct Option: A
Explanation:

The given equation is an algebraic equation with one variable.

Which of the following is not an equation?

  1. Z + 3 = 0

  2. Z – 4 + 7

  3. Z + 4 = 9

  4. Z x 4 = 8

  5. None of these


Correct Option: B
Explanation:

An equation denotes that two things are equal. It will have a sign of equality "=".

If the perimeter of a rhombus is Z cm, then the length of each of its sides is

  1. Z + 4 cm

  2. Z – 4 cm

  3. Z/4 cm

  4. Z x 4 cm

  5. None of these


Correct Option: C
Explanation:

Perimeter of rhombus = 4a, where a is length of each side. Z cm = 4a a = Z/4 cm

If the value of Z is 5, then 20 – Z is equal to

  1. 5

  2. 10

  3. 15

  4. 20

  5. 25


Correct Option: C
Explanation:

If Z = 5, then 20 - Z = 20 – 5 = 15.

Which of the following is true as an equation, where x = 1?

  1. 6x + 7 = 11x – 3

  2. 9x + 9 = 6x + 1

  3. 13x + 2 = 2x + 13

  4. 11x – 11 = 22x + 1

  5. None of these


Correct Option: C
Explanation:

If we put x = 1, then 13 + 2 = 2 + 13 = 15 Thus, LHS will be equal to RHS.

For what value of a is the equation 3a + 6 = 9 satisfied?

  1. 1

  2. 2

  3. 3

  4. 4

  5. None of these


Correct Option: A
Explanation:

The equation is 3a + 6 = 9. 3a = 9 – 6 3a = 3 a = 1

Find the solution of the equation 2x + 6 = 20.

  1. 1

  2. 4

  3. 7

  4. 5

  5. None of these


Correct Option: C
Explanation:

2x = 20 – 6 2x = 14 x = 7 

For what value of k is the equation 5k + 2 = 7 satisfied?

  1. 0

  2. 1

  3. 3

  4. 2

  5. None of these


Correct Option: B
Explanation:

The equation is 5k + 2 = 7. 5k = 7 – 2 5k = 5 k = 1

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