Multiple Choice: Read each item carefully. Write the letter of the correct answer. Provide a solution on separate sheet
for underlined numbers. Write your justification if needed. 2 points each. For underlined numbers 1 point for the answer 1
point for solution/justification.
B 1 What is the factored form of a² + 2ab + b??
(a+b)(a-b) B. (a +b)(a +b)
c. la-bla-bl D. (a +1)(a +1)
A.
2 What will be the other factor of (a - b) to make a perfect square trinomial?
A. a-b
B. a + b
c. a² – b²
D. a? + b
À 3 Factor completely the expression 2a (a-3) - (a -3).
A. (a - 3)(2a + 1) B. (a-3)2 (2a - 1) C. (20 - 1a-3) D. 2a (a -3)
4 Factor completely mº- nt
A. (m?-n) (m? + n)
C. (m? + n?)(m-n) m + n)
B. (m-n)(m + n) (m? + n)
D. (
mn) (m + n)(m + n) (m + n)
5 If (a - b) = 7 and a² + b² = 29, what is ab?
A. 20
B. 11
C. 10
D. 2
10
In a basketball league of x teams in which every team plays every team twice, the total numbers
games played is x2-x. How many teams are there in a league that plays a total of 30 games?
A. 4
B. 5
c. 6
D. 7
Z The area of a rectangle is x²-3x -10. What is the length of the rectangle if the with is x + 2?
A. (x + 5)(x - 2) B. (x - 5)(x + 2)
C. (x-5)
D. (x + 5)
8 A big square of side a and four small squares each of side b as shown
b
A. 1090 sq cm.
c. 1963 sq. cm
B. 1936 sq. cm.
D. 1900 sq. cm.
a
b
a
2 The area of a rectangle is x2-3x -10. What must be the possible value of x if the with is x + 2 ?
A. X = -2
B. X= 5
C. X5
D. cannot be determined
10 If the area of a rectangle is x² - 6x +9. Is it possible to find its sides?
A. Yes, using factoring difference of two squares C. Yes, the area is a perfect square trinomia
B. No, one of the sides must be given.
D. No, the area is not factorable​