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Question (1)

QN0026546

A linear polynomial has degree

(A) 0
(B) 1
(C) 2
(D) 3

Correct Answer: B

Explanation:

A polynomial whose highest power of the variable is 1 is called a linear polynomial.

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Question (2)

QN0026547

The coefficient of x in the polynomial 7x – 12 is

(A) –12
(B) 12
(C) 7
(D) 1

Correct Answer: C

Explanation:

The number multiplying x is called its coefficient. Hence, coefficient of x is 7.

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Question (3)

QN0026548

If p(x) = 4x + 9, then p(–2) is

(A) 1
(B) –1
(C) –17
(D) 17

Correct Answer: A

Explanation:

Substitute x = –2. p(–2) = 4(–2) + 9 = –8 + 9 = 1.

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Question (4)

QN0026549

The perimeter of a square is represented by 4x. If the side increases from 3 cm to 5 cm, then the increase in perimeter is

(A) 4 cm
(B) 6 cm
(C) 8 cm
(D) 10 cm

Correct Answer: C

Explanation:

Initial perimeter = 4 × 3 = 12 cm and final perimeter = 4 × 5 = 20 cm. Increase = 20 – 12 = 8 cm.

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Question (5)

QN0026550

A taxi charges ₹40 as fixed fare and ₹12 per km. The total fare for x km is

(A) 12x – 40
(B) 40x + 12
(C) 12x + 40
(D) 52x

Correct Answer: C

Explanation:

Total fare = fixed fare + charge per km = 40 + 12x.

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Question (6)

QN0026551

The sequence 5, 9, 13, 17, … represents

(A) quadratic pattern
(B) linear pattern
(C) cubic pattern
(D) constant pattern

Correct Answer: B

Explanation:

Consecutive terms increase by a constant value of 4, so it is a linear pattern.

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Question (7)

QN0026552

If the nth term of a pattern is 3n + 2, then the 10th term is

(A) 28
(B) 30
(C) 32
(D) 35

Correct Answer: C

Explanation:

Substitute n = 10. 3(10) + 2 = 32.

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Question (8)

QN0026553

The polynomial representing the area of a rectangle of length (x + 2) cm and breadth 5 cm is

(A) 5x + 2
(B) x + 10
(C) 5x + 10
(D) 10x

Correct Answer: C

Explanation:

Area = length × breadth = 5(x + 2) = 5x + 10.

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Question (9)

QN0026554

A mobile phone worth ₹20,000 depreciates by ₹1500 every year. Its value after t years is

(A) 20000 + 1500t
(B) 20000 – 1500t
(C) 1500 – 20000t
(D) 21500t

Correct Answer: B

Explanation:

Since the value decreases every year, the expression is 20000 – 1500t.

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Question (10)

QN0026555

If y = 3x – 5, then the value of y when x = 7 is

(A) 16
(B) 18
(C) 21
(D) 26

Correct Answer: A

Explanation:

y = 3(7) – 5 = 21 – 5 = 16.

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Question (1)

A linear polynomial has degree

Explanation:

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Question (2)

The coefficient of x in the polynomial 7x – 12 is

Explanation:

Link:

Question (3)

If p(x) = 4x + 9, then p(–2) is

Explanation:

Link:

Question (4)

The perimeter of a square is represented by 4x. If the side increases from 3 cm to 5 cm, then the increase in perimeter is

Explanation:

Link:

Question (5)

A taxi charges ₹40 as fixed fare and ₹12 per km. The total fare for x km is

Explanation:

Link:

Question (6)

The sequence 5, 9, 13, 17, … represents

Explanation:

Link:

Question (7)

If the nth term of a pattern is 3n + 2, then the 10th term is

Explanation:

Link:

Question (8)

The polynomial representing the area of a rectangle of length (x + 2) cm and breadth 5 cm is

Explanation:

Link:

Question (9)

A mobile phone worth ₹20,000 depreciates by ₹1500 every year. Its value after t years is

Explanation:

Link:

Question (10)

If y = 3x – 5, then the value of y when x = 7 is

Explanation:

Link:

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