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Algebraic Expressions: Fundamentals

Description: Introduction to Algebraic Expression Test contains NTSE questions to practice and preparation
Number of Questions: 10
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Tags: Introduction to Algebraic Expression NTSE questions NTSE preparation NTSE test Algebra
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How many terms are there in the expression 1.2ab – 2.4b + 3.6a?

  1. 1

  2. 2

  3. 4

  4. 3


Correct Option: D
Explanation:

There are 3 terms 1.2ab, – 2.4b, 3.6a

Which of the following pairs of terms is a pair of like terms?

  1. 3x, 2xy

  2. – xy2, – 2 xy2

  3. – 6x2, 20x2y

  4. 8x2, 7y


Correct Option: B
Explanation:

Like terms are the terms having the same variables and power. –xy2, –2xy2

What is the value of the expression 5n - 3 for n = - 1?

  1. 5

    • 3
  2. 8

    • 8

Correct Option: D
Explanation:

5n - 3 n = - 1 5(- 1)- 3 = - 5 - 3 = - 8

Which of the following pairs of terms is a pair of unlike terms?

  1. – p2q2, 12 q2p2

  2. 41, 100

  3. qp2, 13p2q

  4. – 4yx2, – 4xy2


Correct Option: D
Explanation:

– 4yx2, – 4xy2 are unlike terms

The sum of t - 5tz, 2tz - z and z - t is _______.

  1. 2t - 3tz

  2. 2z - 3tz

  3. 3tz

    • 3tz

Correct Option: D
Explanation:

t - 5tz + 2tz - z + z - t = - 3tz

What is the value of the expression a2 + ab + 1 for a = 0, b = 1?

  1. 0

  2. 1

  3. � 1

  4. 2


Correct Option: B
Explanation:

a2 + ab + 1 a = 0, b = 1 02 + 0(1) + 1 = 1

What is the value of the expression a3 + b3 + c3 - 3abc for a = 2, b = 3, c = 4?

  1. 3

  2. 6

  3. 9

  4. 27


Correct Option: D
Explanation:

a3 + b3 + c3 - 3abc a = 2, b = 3 and c = 4 (2)3 + (3)3 + (4)3 - 3(2) (3) (4) 8 + 27 + 64 - 72 27

If the value of the expression x2 + 5x + k for x = 0 is 5, what is the value of k?

  1. 2

  2. 3

  3. 4

  4. 5


Correct Option: D
Explanation:

x2 + 5x + k = 5 x = 0 02 + 5(0) + k = 5 k = 5

What is the coefficient of x2y2 in the algebraic expression – x2y2 + 7x2y2 + 7x2 – 7y2 + 6x2y2?

  1. 7

  2. – 1

  3. 12

  4. – 12


Correct Option: C
Explanation:

Coefficient of x2y2 is 12.

Which of the following pairs has ‘NO’ like terms ?

  1. (– 6n, – 2n)

  2. (5m, 11m)

  3. (7, 10)

  4. (2a2, – 4a)


Correct Option: D
Explanation:

2a2, – 4a are not like terms.

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