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Question (31)

QN009368

Simplify x−3 x 2 −9 , where x  =3.

(A) x−3
(B) x+3
(C) x 2 +3
(D) 1

Correct Answer: B

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Question (32)

QN009369

Which factorisation is correct for x 2 −16?

(A) (x+8)
(B) (x−8)
(C) (x+4)(x−4)
(D) (x+2)(x−8)

Correct Answer: C

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Question (33)

QN009370

A rectangle has area x 2 +11x+30. Its possible dimensions are

(A) (x+5) and (x+6)
(B) (x+10) and (x+3)
(C) (x+15) and (x+2)
(D) (x+30) and (x+1)

Correct Answer: A

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Question (34)

QN009371

Which expression represents (px+a)(qx+b)?

(A) pqx 2 +(p+q)x+ab
(B) pqx 2 +(pb+aq)x+ab
(C) pqx 2 +(a+b)x+pq
(D) pqx 2 +abx+pq

Correct Answer: B

Explanation:

Multiply using distributive law.

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Question (35)

QN009372

The value of 23×17 using identities is

(A) 381
(B) 391
(C) 401
(D) 411

Correct Answer: B

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Question (36)

QN009373

If x−y is a factor of x 3 −y 3 , then x−y is also a factor of

(A) x 4 +y 4
(B) x 4 −y 4
(C) x 2 +y 2
(D) x 3 +y 3

Correct Answer: B

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Question (37)

QN009374

The expression x 3 +y 3 +z 3 −3xyz equals zero when

(A) x+y+z=0
(B) x=y=z=1
(C) xy=yz
(D) x+y=z

Correct Answer: A

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Question (38)

QN009375

The value of (−107) 3 is

(A) −1225043
(B) −1215503
(C) −1204503
(D) −1234507

Correct Answer: A

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Question (39)

QN009376

Which concept is mainly used in algebra tiles?

(A) Symmetry
(B) Area representation
(C) Rotation
(D) Reflection

Correct Answer: B

Explanation:

Algebra tiles visually represent areas of algebraic expressions.

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Question (40)

QN009377

In algebra tiles, x 2 +7x+12 forms a rectangle with dimensions

(A) (x+2) and (x+5)
(B) (x+3) and (x+4)
(C) (x+1) and (x+12)
(D) (x+6) and (x+1)

Correct Answer: B

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Question (31)

Simplify x−3 x 2 −9 ​ , where x  =3.

Explanation:

Link:

Question (32)

Which factorisation is correct for x 2 −16?

Explanation:

Link:

Question (33)

A rectangle has area x 2 +11x+30. Its possible dimensions are

Explanation:

Link:

Question (34)

Which expression represents (px+a)(qx+b)?

Explanation:

Link:

Question (35)

The value of 23×17 using identities is

Explanation:

Link:

Question (36)

If x−y is a factor of x 3 −y 3 , then x−y is also a factor of

Explanation:

Link:

Question (37)

The expression x 3 +y 3 +z 3 −3xyz equals zero when

Explanation:

Link:

Question (38)

The value of (−107) 3 is

Explanation:

Link:

Question (39)

Which concept is mainly used in algebra tiles?

Explanation:

Link:

Question (40)

In algebra tiles, x 2 +7x+12 forms a rectangle with dimensions

Explanation:

Link:

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Simplify x−3 x 2 −9 , where x  =3.