I. Complete the Following Algebraic Expression! (10 Pts)

Madania Secondary School 1st Formative Semester 1 of Academic Year 2011/2012 Subject : Mathematics Grade : 8 Time : 60 Minutes

Name : ______ScoreSignaturesTeacherParent s Class : ______Day/Date : ______

I. Complete the following algebraic expression! (10 pts) a. a(b + c) = ______

b. (a + b)(c + d) = ______

c. (a + b)2 = ______

d. ______= a 2 - 2 ab + b2

e. xy + xz = ______

II. Choose the appropriate answer for each of the following questions(20 pts)

1. Which of the following expressions is the example of distributive property? a. 2 x 4 = 4 x 2 c. 2 x (3 + 4) = (2 x 3) + (2 x 4) b. (2x 3) x 4 = 2 x (3 x 4) d. 4 ÷ (2 + 1) = (4 ÷ 2) + (4 ÷ 1)

2. Simplify (t-5)(t-4) a. t2-9t+20 c. t2+9t+20 b. t2-20t+9 d. t2-9t-20

1112-S1-G07-MA-FT1-W04-TYS-SPD-120812 1 a  b 3. If a = -27, b = 18, and c = -9, what is the value of ? b  c

a. -54 b. - 18 c. 18 d. 54

4. Simplify (x+2)(x-3)-2(x+4) a. x2 + 3x - 14 c. x2 - 3x - 14 b. x2 - 3x + 14 d. x2 + 3x +14

5. Expand (4a – 3)2. a. 4a2 + 12a - 9 b. 16a2 + 24a - 9 b. 4a2 - 12a + 9 d. 16a2 – 24a + 9

6. What is the highest common factor of 6a2b and 12ab2? a. a c. ab b. b d. 6ab

1112-S1-G07-MA-FT1-W04-TYS-SPD-120812 2 7. Factorize x2 + 5x + 6 a. (x – 6) (x − 1) c. (x – 2 ) (x − 3) b. (x + 6) (x + 1) d. (x + 2) (x + 3)

8. Factorize 6x2 - 2x – 20. a. (2x + 4) (3x − 5) c. (6x - 10) (x + 2) b. (2x - 4) (3x + 5) d. (6x + 2) (x – 10)

9. What would be the possible algebraic expression for the following problem: “ In 5 years Dania will be three times as old as she was 9 years ago” a. x + 5 = 3 (x -9) c. 5 = (9 x 3 ) + x b. 5x = 3 (x -9) d. x + 5 = 9 (x -3)

10. Factorize 5ab – 10ac – 3b + 6c!

a. (5a – 3) (b – 2c) c. (5a – 3) (b – 2c) b. (5a – 3) (b – 2c) d. (5a – 3) (b – 2c)

1112-S1-G07-MA-FT1-W04-TYS-SPD-120812 3 III.Problem Solving. ( pts)

1. Expand: (8 pts) a. -6(5y-4) b. (2p-1)(2p+1) c. (2x + 1)2 Answer: a.

2. Factorize: (10 pts) (i). 4rs – 2r + 6s – 3 (ii). ms + 2mt2 – ns -2nt2 (iii).2 - 6ax + 2ay +bx +by Answer:

1112-S1-G07-MA-FT1-W04-TYS-SPD-120812 4 (ii).

(iii).

3. The distance around a rectangular field is 400m. The length of the field is 26 m more than the breadth. Calculate the length and the breadth of the field!(10 pts) Answer:

1112-S1-G07-MA-FT1-W04-TYS-SPD-120812 5 4. At a fruit stall, pears were sold at $x per kg. Ms Watson bought 1.4 kg and Mr Radcliffe bought 1.9kg. If Mr Radcliffe paid $2.50 more than Ms Watson , find x! (7 pts) Answer:

4. Given that x2 + y2 = 25 and xy = 12, find the value of: (14 pts) (i). (x + y)2 (ii). (x − y)2 (iii). x2 − y2 Answer:

(iii).

Good Luck 

1112-S1-G07-MA-FT1-W04-TYS-SPD-120812 6