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:

8W2 + 5W + 3 , 23W2 - 19W - 29

W2

W


Answer:_______________




2)  

 Add the following expressions:

4R2 + 8R + 5 , 8R2 - 14R - 28

R2

R


Answer:_______________




3)  

 Add the following expressions:

4X2 + 7X + 9 , 17X2 - 28X - 22

X2

X


Answer:_______________




4)  

 Add the following expressions:

8T2 + 10T + 6 , 16T2 - 24T - 20

T2

T


Answer:_______________




5)  

 Add the following expressions:

13O2 + 7O + 7 , 17O2 - 14O - 27

O2

O


Answer:_______________




6)  

 Add the following expressions:

7U2 + 9U + 4 , 23U2 - 21U - 19

U2

U


Answer:_______________




7)  

 Add the following expressions:

12S2 + 9S + 4 , 12S2 - 15S - 27

S2

S


Answer:_______________




8)  

 Add the following expressions:

8E2 + 4E + 11 , 18E2 - 29E - 24

E2

E


Answer:_______________




9)  

 Add the following expressions:

4M2 + 6M + 11 , 22M2 - 22M - 29

___M2

___M


Answer:_______________




10)  

 Add the following expressions:

17X2 + 8X + 4 , 6X2 - 27X - 17

X2

X


Answer:_______________




 

1)  

 Add the following expressions:

8K2 + 5K + 3 , 23K2 - 19K - 29

Answer: 31K2

Answer: -14K

Answer: -26


SOLUTION 1 :

 ( 8K+ 5K + 3 ) + ( 23K2 - 19K - 29 )

 = (8K2 + 23K2) + (5K - 19K) + (3 - 29)

 = (8 + 23) K2 + (5 - 19) K + (3 - 29)

 = 31K2 -14K  -26



2)  

 Add the following expressions:

4A2 + 8A + 5 , 8A2 - 14A - 28

Answer: 12A2

Answer: -6A

Answer: -23


SOLUTION 1 :

 ( 4A+ 8A + 5 ) + ( 8A2 - 14A - 28 )

 = (4A2 + 8A2) + (8A - 14A) + (5 - 28)

 = (4 + 8) A2 + (8 - 14) A + (5 - 28)

 = 12A2 -6A  -23



3)  

 Add the following expressions:

4E2 + 7E + 9 , 17E2 - 28E - 22

Answer: 21E2

Answer: -21E

Answer: -13


SOLUTION 1 :

 ( 4E+ 7E + 9 ) + ( 17E2 - 28E - 22 )

 = (4E2 + 17E2) + (7E - 28E) + (9 - 22)

 = (4 + 17) E2 + (7 - 28) E + (9 - 22)

 = 21E2 -21E  -13



4)  

 Add the following expressions:

8Z2 + 10Z + 6 , 16Z2 - 24Z - 20

Answer: 24Z2

Answer: -14Z

Answer: -14


SOLUTION 1 :

 ( 8Z+ 10Z + 6 ) + ( 16Z2 - 24Z - 20 )

 = (8Z2 + 16Z2) + (10Z - 24Z) + (6 - 20)

 = (8 + 16) Z2 + (10 - 24) Z + (6 - 20)

 = 24Z2 -14Z  -14



5)  

 Add the following expressions:

13O2 + 7O + 7 , 17O2 - 14O - 27

Answer: 30O2

Answer: -7O

Answer: -20


SOLUTION 1 :

 ( 13O+ 7O + 7 ) + ( 17O2 - 14O - 27 )

 = (13O2 + 17O2) + (7O - 14O) + (7 - 27)

 = (13 + 17) O2 + (7 - 14) O + (7 - 27)

 = 30O2 -7O  -20



6)  

 Add the following expressions:

7I2 + 9I + 4 , 23I2 - 21I - 19

Answer: 30I2

Answer: -12I

Answer: -15


SOLUTION 1 :

 ( 7I+ 9I + 4 ) + ( 23I2 - 21I - 19 )

 = (7I2 + 23I2) + (9I - 21I) + (4 - 19)

 = (7 + 23) I2 + (9 - 21) I + (4 - 19)

 = 30I2 -12I  -15



7)  

 Add the following expressions:

12F2 + 9F + 4 , 12F2 - 15F - 27

Answer: 24F2

Answer: -6F

Answer: -23


SOLUTION 1 :

 ( 12F+ 9F + 4 ) + ( 12F2 - 15F - 27 )

 = (12F2 + 12F2) + (9F - 15F) + (4 - 27)

 = (12 + 12) F2 + (9 - 15) F + (4 - 27)

 = 24F2 -6F  -23



8)  

 Add the following expressions:

8C2 + 4C + 11 , 18C2 - 29C - 24

Answer: 26C2

Answer: -25C

Answer: -13


SOLUTION 1 :

 ( 8C+ 4C + 11 ) + ( 18C2 - 29C - 24 )

 = (8C2 + 18C2) + (4C - 29C) + (11 - 24)

 = (8 + 18) C2 + (4 - 29) C + (11 - 24)

 = 26C2 -25C  -13



9)  

 Add the following expressions:

4A2 + 6A + 11 , 22A2 - 22A - 29

Answer: 26A2

Answer: -16A

Answer: -18


SOLUTION 1 :

 ( 4A+ 6A + 11 ) + ( 22A2 - 22A - 29 )

 = (4A2 + 22A2) + (6A - 22A) + (11 - 29)

 = (4 + 22) A2 + (6 - 22) A + (11 - 29)

 = 26A2 -16A  -18



10)  

 Add the following expressions:

17G2 + 8G + 4 , 6G2 - 27G - 17

Answer: 23G2

Answer: -19G

Answer: -13


SOLUTION 1 :

 ( 17G+ 8G + 4 ) + ( 6G2 - 27G - 17 )

 = (17G2 + 6G2) + (8G - 27G) + (4 - 17)

 = (17 + 6) G2 + (8 - 27) G + (4 - 17)

 = 23G2 -19G  -13