Revision on Form 3 Chapter 1 and 2

Revision on Form 3 Chapter 1 and 2

Multiple Choice

Which of the following can be factorized?
I.  $a^2+5a+6$  

II. $a^2-5a+6$  
III.   $a^2+5a-6$  

• A.   I and II only

• B.   I and III only

• C.   II and III only

• D.   I, II and III

Multiple Choice

Factorize –a² – 11a – 18.

• A. –(a + 2)(a + 9)

• B. –(a + 3)(a + 6)

• C. (a – 2)(a – 9)

• D. (a – 3)(a – 6)

Always remember to **take out the negative sign!**

Multiple Choice

Which of the following has/have 3x + 4 as a factor?

I. 3x² + 7x + 4

II. 6x² + x - 12

III. 3x² + 19x + 20

• A. I only

• B. II only

• C. I and III only

• D. II and III only

Factorize the expression to find the factors.

Multiple Choice

Factorize $$a^2-2a-8+2am+4m$$  .

• A.  $\left(a-4\right)\left(a+2+m\right)$  

• B.  $\left(a-4\right)\left(a+2+2m\right)$  

• C.  $\left(a+2\right)\left(a-4+m\right)$   

• D.  $\left(a+2\right)\left(a-4+2m\right)$  

It's HKDSE type problem. Please remember!

Multiple Choice

If 

 $3x^2-5x+p\equiv\left(3x+a\right)\left(x+b\right)$  , where a, b and p are integers, which of the following are the possible values of a and b?
I.      a = 1, b = –2 
II.     a = –2, b = –1 
III.   a = –6, b = 1

• A.    I and II only

• B.    I and III only

• C.    II and III only

• D.    I, II and III

Multiple Choice

Factorize  $32x^3+108y^3.$  

• A.  $4(2x-3y)(4x^2+6xy+9y^2)$  

• B.  $4(2x+3y)(4x^2–\ 6xy+9y^2)$  

• C.  $4(2x-3y)(4x^2+12xy+9y^2)$  

•  $4(2x+3y)(4x^2-12xy+9y^2)$  

•  $a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)$  

•  $a^3-b^3=\left(a-b\right)\left(a^2+ab+b^2\right)$  

Multiple Choice

Which of the following numbers CANNOT be the solution(s) of the inequality y ≥ -4?

I. -3.3

II. -4

III. -5

• A. I only

• B. III only

• C. I and II only

• D. II and III only

Multiple Choice

Miss Chan has 300 candies. She distributes the candies to S3A and S3B students so that each student in S3A has x candies and each student in S3B has (x - 2) candies. If the numbers of students in S3A and S3B are 25 and 20 respectively, which of the following inequalities can be used to find the range of values of x?

• A. 20x + 25(x - 2) ≤ 300

• B. 25x + 20(x - 2) ≤ 300

• C. 20x + 25(x - 2) > 300

• D. 25x + 20(x - 2) > 300

Multiple Choice

If m < n and k < 0, which of the following must be true?
I.     m - k < n - k
II.    -km < -kn
III.   $\frac{m}{k^2}<\frac{n}{k^2}$  

• A.    I and II only

• B.    I and III only

• C.    II and III only

• D.    I, II and III

Multiple Choice

If the sum of two consecutive even numbers is not less than 27, then the smallest value of the smaller number is

• A. 13

• B. 14

• C. 15

• D. 16