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Assessment Month September Grade 9th-Algebraic Formulas

Total questions: 20

Worksheet time: 36mins

Name
Class
Date
1.
An equation which combines variables with an equal sign is a 
a)
value
b)
formulae
c)
statement 
d)
operations
2.
(m + n)2 can be expressed as 
a)
m + n2
b)
2 (m + n)
c)
m2 + n2
d)
(m + n) (m + n)
3.
Which of the following is true?
a)
(a-b)2 = a2 - b2
b)
(a + b)2 = a2 + 2ab + b2
c)
(a - b)2 = a2 - 2ab - b2
d)
(a + b) (a - b) = a2 - 2ab + b2
4.
Which of the following is the variable?
a)
Total number of days in August.
b)
The number of hours in a day.
c)
Total number of side of a square. 
d)
Number of students in a school bus everyday 
5.
(2p + 3q)(p − 6q)
a)
2p2 − 12pq + 3pq − 18q2
b)
2p2 − 12pq + p − 6q
c)
2p + 3q + p − 6q
d)
2p + 3pq − 18q2
6.

(a + b)2

a)

a2 + 2ab + b2

b)

a2 - 2ab + b2

c)

(a + b) (a – b)

7.

(a – b)2

a)

(a + b) (a – b)

b)

(a + b)2

c)

a2 – 2ab + b2

8.

Which one is not a polynomial?

a)

4x2 + 2x – 1

b)

x3 – 1

c)

y+3yy+\frac{3}{y}

d)

y2 + 5y + 1

9.
Do you add, subtract, multiply or divide the sides to find perimeter?
a)
add
b)
subtract
c)
multiply
d)
divide
10.
When measuring area, what label do you use?
a)
units
b)
units2
c)
units3
11.

a2 + b2 + c2 - 2ab - 2ac +2bc

a)

( a - b - c)2

b)

(-a - b - c)2

c)

(a- b - c )3

d)

( - a +b + c )2

12.

(e - f )3

a)

f 3 - e 3 - 3e2f + 3f2e

b)

e2 - f2 - 3f2e + 3e2f

c)

-3e2f + 3f2e +e3 - f3

d)

e2 - 3e2f + 3f3e - f3

13.

Expand the following : x2 + y2

a)

(x + y )2 - 2xy

b)

(x - y)2+ 2xy

c)

(a + b )2 _ 2xy

d)

(x + y)2+ 2xy

14.

k2 - l2

a)

( k- l)(k - l)

b)

(k - l)( k + l)

c)

(-k + l)(l - k)

d)

(-l + k)(k + l)

15.

a3 - b3

a)

(a - b) (a2 + b2 - ab)

b)

(a - b) ( a2 + 2ab + b2)

c)

(a- b) ( a2 - ab + b2)

d)

(a - b) ( a2 + ab + b2)

16.

(p + q)3

a)

p3 + q3 + 3pq(p + q)

b)

p3 + q3 + 3pp( q + p)

c)

p3 + 3p2q + q3 + 3q2p

d)

p3 + q2 + 3p3q + 3q2p

17.

a3+ b3

a)

(a + b) ( a2 -2ab + b2)

b)

(a + b)3 - 3ab(a + b)

c)

(a + b) ( a2 - ab + b2)

d)

(a2+ b)(a + b2 _ ab)

18.

Are ( p - q)2 and ( q - p)2 same ?

(yes or no)

hint : there is (—)sign not (+) sign .be careful

(a)  

19.

 25a2−4b225a^2-4b^2  is of the form

a)

 a2−b2a^2-b^2  

b)

 (a+b)2\left(a+b\right)^2  

c)

 (a−b)2\left(a-b\right)^2  

d)

none of these

20.

 8a3 + 64b38a^{3\ }+\ 64b^3  is of the form

a)

 (a+b)3\left(a+b\right)^3  

b)

 (a−b)3\left(a-b\right)^3  

c)

 a3 +b3a^3\ +b^3  

d)

 a3−b3a^3-b^3