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Question (1)

QN009338

A square of side (a+b) is divided into smaller parts to visualise an algebraic identity. What identity is represented?

(A) a 2 −b 2 =(a+b)(a−b)
(B) (a+b) 2 =a 2 +2ab+b 2
(C) (a−b) 2 =a 2 −2ab+b 2
(D) (a+b) 3 =a 3 +b 3

Correct Answer: B

Explanation:

Area of the large square equals the sum of areas of smaller regions.

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Question (2)

QN009339

In the geometrical model of (a+b) 2 , how many rectangles of area ab are formed?

(A) 1
(B) 2
(C) 3
(D) 4

Correct Answer: B

Explanation:

Two rectangles each have area ab.

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Question (3)

QN009340

Which statement correctly defines an algebraic identity?

(A) An equation true for some values only
(B) An equation containing variables
(C) An equation true for all values of the variables
(D) An equation with two unknowns

Correct Answer: C

Explanation:

An identity is true for every value of the variables.

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Question (4)

QN009341

Which of the following is an identity?

(A) x 2 −9=0
(B) 2x+5=11
(C) (x+y) 2 =x 2 +2xy+y 2
(D) x 2 =25

Correct Answer: C

Explanation:

The relation holds for all values of x and y.

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Question (5)

QN009342

If a=3 and b=−4, then (a+b) 2 equals

(A) 1
(B) 7
(C) 49
(D) 25

Correct Answer: A

Explanation:

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Question (6)

QN009343

Expand (8x+5y) 2 .

(A) 64x 2 +25y 2
(B) 64x 2 +40xy+25y 2
(C) 64x 2 +80xy+25y 2
(D) 16x 2 +80xy+25y 2

Correct Answer: C

Explanation:

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Question (7)

QN009344

The value of (102) 2 is

(A) 10204
(B) 10404
(C) 10004
(D) 10608

Correct Answer: B

Explanation:

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Question (8)

QN009345

Which term determines whether (a+b) 2 is greater than a 2 +b 2 ?

(A) a 2
(B) b 2
(C) 2ab
(D) a+b

Correct Answer: C

Explanation:

The extra term 2ab decides the comparison.

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Question (9)

QN009346

If (a+b) 2 =a 2 +b 2 , then

(A) ab=1
(B) ab=−1
(C) ab=0
(D) a=b

Correct Answer: C

Explanation:

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Question (10)

QN009347

Factorise x 2 +10x+25.

(A) (x+25) 2
(B) (x+5) 2
(C) (x+10)(x+25)
(D) (x−5) 2

Correct Answer: B

Explanation:

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Question (1)

A square of side (a+b) is divided into smaller parts to visualise an algebraic identity. What identity is represented?

Explanation:

Link:

Question (2)

In the geometrical model of (a+b) 2 , how many rectangles of area ab are formed?

Explanation:

Link:

Question (3)

Which statement correctly defines an algebraic identity?

Explanation:

Link:

Question (4)

Which of the following is an identity?

Explanation:

Link:

Question (5)

If a=3 and b=−4, then (a+b) 2 equals

Explanation:

Link:

Question (6)

Expand (8x+5y) 2 .

Explanation:

Link:

Question (7)

The value of (102) 2 is

Explanation:

Link:

Question (8)

Which term determines whether (a+b) 2 is greater than a 2 +b 2 ?

Explanation:

Link:

Question (9)

If (a+b) 2 =a 2 +b 2 , then

Explanation:

Link:

Question (10)

Factorise x 2 +10x+25.

Explanation:

Link:

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