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:

16W2 + 4W + 5 , 18W2 - 29W - 20

W2

W


Answer:_______________




2)  

 Add the following expressions:

15K2 + 12K + 7 , 18K2 - 25K - 20

K2

K


Answer:_______________




3)  

 Add the following expressions:

19F2 + 2F + 9 , 12F2 - 23F - 29

F2

F


Answer:_______________




4)  

 Add the following expressions:

17V2 + 8V + 7 , 20V2 - 15V - 17

V2

V


Answer:_______________




5)  

 Add the following expressions:

2H2 + 3H + 6 , 5H2 - 19H - 24

H2

H


Answer:_______________




6)  

 Add the following expressions:

9D2 + 7D + 6 , 22D2 - 19D - 29

D2

D


Answer:_______________




7)  

 Add the following expressions:

10W2 + 5W + 7 , 11W2 - 23W - 17

W2

W


Answer:_______________




8)  

 Add the following expressions:

19K2 + 2K + 8 , 20K2 - 23K - 14

K2

K


Answer:_______________




9)  

 Add the following expressions:

9L2 + 2L + 11 , 17L2 - 20L - 28

L2

L


Answer:_______________




10)  

 Add the following expressions:

10R2 + 8R + 4 , 6R2 - 15R - 18

R2

R


Answer:_______________




 

1)  

 Add the following expressions:

16U2 + 4U + 5 , 18U2 - 29U - 20

Answer: 34U2

Answer: -25U

Answer: -15


SOLUTION 1 :

 ( 16U+ 4U + 5 ) + ( 18U2 - 29U - 20 )

 = (16U2 + 18U2) + (4U - 29U) + (5 - 20)

 = (16 + 18) U2 + (4 - 29) U + (5 - 20)

 = 34U2 -25U  -15



2)  

 Add the following expressions:

15M2 + 12M + 7 , 18M2 - 25M - 20

Answer: 33M2

Answer: -13M

Answer: -13


SOLUTION 1 :

 ( 15M+ 12M + 7 ) + ( 18M2 - 25M - 20 )

 = (15M2 + 18M2) + (12M - 25M) + (7 - 20)

 = (15 + 18) M2 + (12 - 25) M + (7 - 20)

 = 33M2 -13M  -13



3)  

 Add the following expressions:

19P2 + 2P + 9 , 12P2 - 23P - 29

Answer: 31P2

Answer: -21P

Answer: -20


SOLUTION 1 :

 ( 19P+ 2P + 9 ) + ( 12P2 - 23P - 29 )

 = (19P2 + 12P2) + (2P - 23P) + (9 - 29)

 = (19 + 12) P2 + (2 - 23) P + (9 - 29)

 = 31P2 -21P  -20



4)  

 Add the following expressions:

17S2 + 8S + 7 , 20S2 - 15S - 17

Answer: 37S2

Answer: -7S

Answer: -10


SOLUTION 1 :

 ( 17S+ 8S + 7 ) + ( 20S2 - 15S - 17 )

 = (17S2 + 20S2) + (8S - 15S) + (7 - 17)

 = (17 + 20) S2 + (8 - 15) S + (7 - 17)

 = 37S2 -7S  -10



5)  

 Add the following expressions:

2I2 + 3I + 6 , 5I2 - 19I - 24

Answer: 7I2

Answer: -16I

Answer: -18


SOLUTION 1 :

 ( 2I+ 3I + 6 ) + ( 5I2 - 19I - 24 )

 = (2I2 + 5I2) + (3I - 19I) + (6 - 24)

 = (2 + 5) I2 + (3 - 19) I + (6 - 24)

 = 7I2 -16I  -18



6)  

 Add the following expressions:

9V2 + 7V + 6 , 22V2 - 19V - 29

Answer: 31V2

Answer: -12V

Answer: -23


SOLUTION 1 :

 ( 9V+ 7V + 6 ) + ( 22V2 - 19V - 29 )

 = (9V2 + 22V2) + (7V - 19V) + (6 - 29)

 = (9 + 22) V2 + (7 - 19) V + (6 - 29)

 = 31V2 -12V  -23



7)  

 Add the following expressions:

10E2 + 5E + 7 , 11E2 - 23E - 17

Answer: 21E2

Answer: -18E

Answer: -10


SOLUTION 1 :

 ( 10E+ 5E + 7 ) + ( 11E2 - 23E - 17 )

 = (10E2 + 11E2) + (5E - 23E) + (7 - 17)

 = (10 + 11) E2 + (5 - 23) E + (7 - 17)

 = 21E2 -18E  -10



8)  

 Add the following expressions:

19D2 + 2D + 8 , 20D2 - 23D - 14

Answer: 39D2

Answer: -21D

Answer: -6


SOLUTION 1 :

 ( 19D+ 2D + 8 ) + ( 20D2 - 23D - 14 )

 = (19D2 + 20D2) + (2D - 23D) + (8 - 14)

 = (19 + 20) D2 + (2 - 23) D + (8 - 14)

 = 39D2 -21D  -6



9)  

 Add the following expressions:

9H2 + 2H + 11 , 17H2 - 20H - 28

Answer: 26H2

Answer: -18H

Answer: -17


SOLUTION 1 :

 ( 9H+ 2H + 11 ) + ( 17H2 - 20H - 28 )

 = (9H2 + 17H2) + (2H - 20H) + (11 - 28)

 = (9 + 17) H2 + (2 - 20) H + (11 - 28)

 = 26H2 -18H  -17



10)  

 Add the following expressions:

10R2 + 8R + 4 , 6R2 - 15R - 18

Answer: 16R2

Answer: -7R

Answer: -14


SOLUTION 1 :

 ( 10R+ 8R + 4 ) + ( 6R2 - 15R - 18 )

 = (10R2 + 6R2) + (8R - 15R) + (4 - 18)

 = (10 + 6) R2 + (8 - 15) R + (4 - 18)

 = 16R2 -7R  -14