Question 1

Which mathematical statements is CORRECT?

Accepted Answer

A. a³+ 64 = (a + 4) (a² – 4a + 16)

Answer

C. a³+ 64 = (a + 4)(a² + 4a + 16)

Answer

D. a³+ 64 = (a - 4)(a² – 4a + 16)

Answer

B. a³ - 64 = (a + 4)(a² – 4a + 16)

Question 2

One of the factors of 27 + x³ is (3 + x), what is the other factor?

Accepted Answer

A. (9 – 3x + x²)

Answer

B. (9 + 3x + x² )

Answer

D. (9 + 3x – x² )

Answer

C. (9 – 3x – x² )

Question 3

Which binomial describes the volume of the given figure below?

Accepted Answer

B. x³ - y³

Answer

D. x + y3

Answer

A. x³+ y³

Answer

C. x3 + y

Question 4

Which is the binomial factor of 192c³ + 375d³?

Accepted Answer

B. (4c + 5d)

Answer

A. (c - d)

Answer

D. (64c + 125d)

Answer

C. (16c – 25d)

Question 5

What are the factors of 16 + 250a³?

Accepted Answer

C. 2(2 + 5a)(4 – 10a +25a² )

Answer

D. 3(2 – 5a)(4 – 10a +25a² )

Answer

A. 2(2 – 5a)(6 + 10a +25a² )

Answer

B. 3(2 + 5a)(9 + 10a +25a²)

Question 6

Which is a perfect square trinomial?

Accepted Answer

B. c² + 8c + 16

Answer

D. e² + 8e + 4

Answer

C. d² + 4d + 16

Answer

A. a + 8b + 16

Question 7

What are the missing terms in 9h² - _____ + _____= (3h - 4)² ?

Accepted Answer

A. 24h and 16

Answer

D. 144h and 16

Answer

C. 12h and 4

Answer

B. 6h and 12

Question 8

Factor completely 50x² – 60x + 18

Accepted Answer

D. 2(5x - 3)²

Answer

C. 2(5x - 3)

Answer

A. 2(5x + 3)²

Answer

B. 2(25x - 9)²

Question 9

Which expression could be the length of side of a square whose area is given by 16x² + 8x + 1?

Accepted Answer

D. 4x2 + 1

Answer

C. 8x + 1

Answer

B. 4x + 1

Answer

A. 16x + 1

Question 10

Find the area of the whole frame in Number 9 if x = 2 cm

Accepted Answer

A. 81 cm2

Answer

B. 162 cm²

Answer

D. 324 cm²

Answer

C. 225 cm²

Question 11

Which of the following does NOT belong to the group?

Accepted Answer

C. c²+ 4c + 4

Answer

B. b² – 9b + 14

Answer

D. d²– 10d + 16

Answer

A. a² + 5c + 6

Question 12

Which expression has the factors (y – 8) and (y + 4)?

Accepted Answer

A. y² – 4y – 32

Answer

B. y² – 4y + 32

Answer

C. y²+ 4y – 32

Answer

D. y²– 8y + 4

Question 13

The area of a rectangle is represented by the trinomial x² + 14x + 45 square units. What are the dimensions of the rectangle if the value of x = 6?

Accepted Answer

A. Length = 15; Width =11

Answer

B. Length = 11; Width = 15

Answer

C. Length = 25; Width =14

Answer

D. Length = 7; Width = 2

Question 14

The area of a rectangle is represented by the expression y² + 15y + 54 square meters. What is the perimeter of the rectangle if the value of y is 12?

Accepted Answer

B. 78 meters

Answer

C. 30 meters

Answer

A. 60 meters

Answer

D.450 meters

Question 15

Factor completely the general trinomial 3y² + 21yz – 54z²

Accepted Answer

A. 3 (y - 2z) (y + 9z)

Answer

C. 3 (y + 2z) (y - 9z)

Answer

D. 3 (y - 2z) (y - 9z)

Answer

B. 3 (y + 2z) (y + 9z)

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