Scroll:Algebra >> addition >> ps (4207)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 Add the following expressions:

4S2 + 9S + 10 , 7S2 - 14S - 27

S2

S


Answer:_______________




2)  

 Add the following expressions:

22E2 + 3E + 4 , 21E2 - 19E - 21

E2

E


Answer:_______________




3)  

 Add the following expressions:

4K2 + 7K + 8 , 21K2 - 28K - 23

K2

K


Answer:_______________




4)  

 Add the following expressions:

8C2 + 4C + 3 , 19C2 - 16C - 29

___C2

___C


Answer:_______________




5)  

 Add the following expressions:

16M2 + 7M + 9 , 7M2 - 17M - 29

___M2

___M


Answer:_______________




6)  

 Add the following expressions:

18T2 + 8T + 3 , 5T2 - 25T - 16

T2

T


Answer:_______________




7)  

 Add the following expressions:

11U2 + 7U + 6 , 25U2 - 28U - 18

U2

U


Answer:_______________




8)  

 Add the following expressions:

21P2 + 8P + 2 , 20P2 - 15P - 22

P2

P


Answer:_______________




9)  

 Add the following expressions:

18K2 + 10K + 12 , 18K2 - 27K - 14

K2

K


Answer:_______________




10)  

 Add the following expressions:

11Y2 + 11Y + 4 , 6Y2 - 18Y - 22

Y2

Y


Answer:_______________




 

1)  

 Add the following expressions:

4W2 + 9W + 10 , 7W2 - 14W - 27

Answer: 11W2

Answer: -5W

Answer: -17


SOLUTION 1 :

 ( 4W+ 9W + 10 ) + ( 7W2 - 14W - 27 )

 = (4W2 + 7W2) + (9W - 14W) + (10 - 27)

 = (4 + 7) W2 + (9 - 14) W + (10 - 27)

 = 11W2 -5W  -17



2)  

 Add the following expressions:

22S2 + 3S + 4 , 21S2 - 19S - 21

Answer: 43S2

Answer: -16S

Answer: -17


SOLUTION 1 :

 ( 22S+ 3S + 4 ) + ( 21S2 - 19S - 21 )

 = (22S2 + 21S2) + (3S - 19S) + (4 - 21)

 = (22 + 21) S2 + (3 - 19) S + (4 - 21)

 = 43S2 -16S  -17



3)  

 Add the following expressions:

4L2 + 7L + 8 , 21L2 - 28L - 23

Answer: 25L2

Answer: -21L

Answer: -15


SOLUTION 1 :

 ( 4L+ 7L + 8 ) + ( 21L2 - 28L - 23 )

 = (4L2 + 21L2) + (7L - 28L) + (8 - 23)

 = (4 + 21) L2 + (7 - 28) L + (8 - 23)

 = 25L2 -21L  -15



4)  

 Add the following expressions:

8C2 + 4C + 3 , 19C2 - 16C - 29

Answer: 27C2

Answer: -12C

Answer: -26


SOLUTION 1 :

 ( 8C+ 4C + 3 ) + ( 19C2 - 16C - 29 )

 = (8C2 + 19C2) + (4C - 16C) + (3 - 29)

 = (8 + 19) C2 + (4 - 16) C + (3 - 29)

 = 27C2 -12C  -26



5)  

 Add the following expressions:

16W2 + 7W + 9 , 7W2 - 17W - 29

Answer: 23W2

Answer: -10W

Answer: -20


SOLUTION 1 :

 ( 16W+ 7W + 9 ) + ( 7W2 - 17W - 29 )

 = (16W2 + 7W2) + (7W - 17W) + (9 - 29)

 = (16 + 7) W2 + (7 - 17) W + (9 - 29)

 = 23W2 -10W  -20



6)  

 Add the following expressions:

18D2 + 8D + 3 , 5D2 - 25D - 16

Answer: 23D2

Answer: -17D

Answer: -13


SOLUTION 1 :

 ( 18D+ 8D + 3 ) + ( 5D2 - 25D - 16 )

 = (18D2 + 5D2) + (8D - 25D) + (3 - 16)

 = (18 + 5) D2 + (8 - 25) D + (3 - 16)

 = 23D2 -17D  -13



7)  

 Add the following expressions:

11T2 + 7T + 6 , 25T2 - 28T - 18

Answer: 36T2

Answer: -21T

Answer: -12


SOLUTION 1 :

 ( 11T+ 7T + 6 ) + ( 25T2 - 28T - 18 )

 = (11T2 + 25T2) + (7T - 28T) + (6 - 18)

 = (11 + 25) T2 + (7 - 28) T + (6 - 18)

 = 36T2 -21T  -12



8)  

 Add the following expressions:

21I2 + 8I + 2 , 20I2 - 15I - 22

Answer: 41I2

Answer: -7I

Answer: -20


SOLUTION 1 :

 ( 21I+ 8I + 2 ) + ( 20I2 - 15I - 22 )

 = (21I2 + 20I2) + (8I - 15I) + (2 - 22)

 = (21 + 20) I2 + (8 - 15) I + (2 - 22)

 = 41I2 -7I  -20



9)  

 Add the following expressions:

18Q2 + 10Q + 12 , 18Q2 - 27Q - 14

Answer: 36Q2

Answer: -17Q

Answer: -2


SOLUTION 1 :

 ( 18Q+ 10Q + 12 ) + ( 18Q2 - 27Q - 14 )

 = (18Q2 + 18Q2) + (10Q - 27Q) + (12 - 14)

 = (18 + 18) Q2 + (10 - 27) Q + (12 - 14)

 = 36Q2 -17Q  -2



10)  

 Add the following expressions:

11P2 + 11P + 4 , 6P2 - 18P - 22

Answer: 17P2

Answer: -7P

Answer: -18


SOLUTION 1 :

 ( 11P+ 11P + 4 ) + ( 6P2 - 18P - 22 )

 = (11P2 + 6P2) + (11P - 18P) + (4 - 22)

 = (11 + 6) P2 + (11 - 18) P + (4 - 22)

 = 17P2 -7P  -18