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:

17D2 + 11D + 6 , 22D2 - 17D - 26

D2

D


Answer:_______________




2)  

 Add the following expressions:

2G2 + 12G + 7 , 8G2 - 24G - 23

G2

G


Answer:_______________




3)  

 Add the following expressions:

21S2 + 6S + 8 , 10S2 - 21S - 16

S2

S


Answer:_______________




4)  

 Add the following expressions:

4O2 + 7O + 11 , 10O2 - 22O - 28

O2

O


Answer:_______________




5)  

 Add the following expressions:

14V2 + 9V + 3 , 23V2 - 15V - 19

V2

V


Answer:_______________




6)  

 Add the following expressions:

5D2 + 5D + 8 , 20D2 - 17D - 26

D2

D


Answer:_______________




7)  

 Add the following expressions:

10G2 + 4G + 5 , 22G2 - 29G - 19

G2

G


Answer:_______________




8)  

 Add the following expressions:

3Y2 + 2Y + 4 , 9Y2 - 16Y - 27

Y2

Y


Answer:_______________




9)  

 Add the following expressions:

22T2 + 4T + 10 , 6T2 - 23T - 14

T2

T


Answer:_______________




10)  

 Add the following expressions:

4L2 + 10L + 3 , 20L2 - 29L - 23

L2

L


Answer:_______________




 

1)  

 Add the following expressions:

17Q2 + 11Q + 6 , 22Q2 - 17Q - 26

Answer: 39Q2

Answer: -6Q

Answer: -20


SOLUTION 1 :

 ( 17Q+ 11Q + 6 ) + ( 22Q2 - 17Q - 26 )

 = (17Q2 + 22Q2) + (11Q - 17Q) + (6 - 26)

 = (17 + 22) Q2 + (11 - 17) Q + (6 - 26)

 = 39Q2 -6Q  -20



2)  

 Add the following expressions:

2Z2 + 12Z + 7 , 8Z2 - 24Z - 23

Answer: 10Z2

Answer: -12Z

Answer: -16


SOLUTION 1 :

 ( 2Z+ 12Z + 7 ) + ( 8Z2 - 24Z - 23 )

 = (2Z2 + 8Z2) + (12Z - 24Z) + (7 - 23)

 = (2 + 8) Z2 + (12 - 24) Z + (7 - 23)

 = 10Z2 -12Z  -16



3)  

 Add the following expressions:

21K2 + 6K + 8 , 10K2 - 21K - 16

Answer: 31K2

Answer: -15K

Answer: -8


SOLUTION 1 :

 ( 21K+ 6K + 8 ) + ( 10K2 - 21K - 16 )

 = (21K2 + 10K2) + (6K - 21K) + (8 - 16)

 = (21 + 10) K2 + (6 - 21) K + (8 - 16)

 = 31K2 -15K  -8



4)  

 Add the following expressions:

4E2 + 7E + 11 , 10E2 - 22E - 28

Answer: 14E2

Answer: -15E

Answer: -17


SOLUTION 1 :

 ( 4E+ 7E + 11 ) + ( 10E2 - 22E - 28 )

 = (4E2 + 10E2) + (7E - 22E) + (11 - 28)

 = (4 + 10) E2 + (7 - 22) E + (11 - 28)

 = 14E2 -15E  -17



5)  

 Add the following expressions:

14F2 + 9F + 3 , 23F2 - 15F - 19

Answer: 37F2

Answer: -6F

Answer: -16


SOLUTION 1 :

 ( 14F+ 9F + 3 ) + ( 23F2 - 15F - 19 )

 = (14F2 + 23F2) + (9F - 15F) + (3 - 19)

 = (14 + 23) F2 + (9 - 15) F + (3 - 19)

 = 37F2 -6F  -16



6)  

 Add the following expressions:

5G2 + 5G + 8 , 20G2 - 17G - 26

Answer: 25G2

Answer: -12G

Answer: -18


SOLUTION 1 :

 ( 5G+ 5G + 8 ) + ( 20G2 - 17G - 26 )

 = (5G2 + 20G2) + (5G - 17G) + (8 - 26)

 = (5 + 20) G2 + (5 - 17) G + (8 - 26)

 = 25G2 -12G  -18



7)  

 Add the following expressions:

10Z2 + 4Z + 5 , 22Z2 - 29Z - 19

Answer: 32Z2

Answer: -25Z

Answer: -14


SOLUTION 1 :

 ( 10Z+ 4Z + 5 ) + ( 22Z2 - 29Z - 19 )

 = (10Z2 + 22Z2) + (4Z - 29Z) + (5 - 19)

 = (10 + 22) Z2 + (4 - 29) Z + (5 - 19)

 = 32Z2 -25Z  -14



8)  

 Add the following expressions:

3S2 + 2S + 4 , 9S2 - 16S - 27

Answer: 12S2

Answer: -14S

Answer: -23


SOLUTION 1 :

 ( 3S+ 2S + 4 ) + ( 9S2 - 16S - 27 )

 = (3S2 + 9S2) + (2S - 16S) + (4 - 27)

 = (3 + 9) S2 + (2 - 16) S + (4 - 27)

 = 12S2 -14S  -23



9)  

 Add the following expressions:

22U2 + 4U + 10 , 6U2 - 23U - 14

Answer: 28U2

Answer: -19U

Answer: -4


SOLUTION 1 :

 ( 22U+ 4U + 10 ) + ( 6U2 - 23U - 14 )

 = (22U2 + 6U2) + (4U - 23U) + (10 - 14)

 = (22 + 6) U2 + (4 - 23) U + (10 - 14)

 = 28U2 -19U  -4



10)  

 Add the following expressions:

4L2 + 10L + 3 , 20L2 - 29L - 23

Answer: 24L2

Answer: -19L

Answer: -20


SOLUTION 1 :

 ( 4L+ 10L + 3 ) + ( 20L2 - 29L - 23 )

 = (4L2 + 20L2) + (10L - 29L) + (3 - 23)

 = (4 + 20) L2 + (10 - 29) L + (3 - 23)

 = 24L2 -19L  -20