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:

7C2 + 12C + 7 , 20C2 - 28C - 16

___C2

___C


Answer:_______________




2)  

 Add the following expressions:

15S2 + 6S + 6 , 24S2 - 27S - 25

S2

S


Answer:_______________




3)  

 Add the following expressions:

9B2 + 5B + 11 , 12B2 - 21B - 14

B2

B


Answer:_______________




4)  

 Add the following expressions:

8V2 + 2V + 12 , 19V2 - 27V - 22

V2

V


Answer:_______________




5)  

 Add the following expressions:

16K2 + 2K + 11 , 5K2 - 24K - 22

K2

K


Answer:_______________




6)  

 Add the following expressions:

9M2 + 4M + 10 , 10M2 - 24M - 25

___M2

___M


Answer:_______________




7)  

 Add the following expressions:

11W2 + 11W + 12 , 12W2 - 20W - 19

W2

W


Answer:_______________




8)  

 Add the following expressions:

2G2 + 3G + 2 , 20G2 - 24G - 16

G2

G


Answer:_______________




9)  

 Add the following expressions:

2T2 + 12T + 3 , 19T2 - 20T - 28

T2

T


Answer:_______________




10)  

 Add the following expressions:

12B2 + 4B + 9 , 8B2 - 20B - 16

B2

B


Answer:_______________




 

1)  

 Add the following expressions:

7R2 + 12R + 7 , 20R2 - 28R - 16

Answer: 27R2

Answer: -16R

Answer: -9


SOLUTION 1 :

 ( 7R+ 12R + 7 ) + ( 20R2 - 28R - 16 )

 = (7R2 + 20R2) + (12R - 28R) + (7 - 16)

 = (7 + 20) R2 + (12 - 28) R + (7 - 16)

 = 27R2 -16R  -9



2)  

 Add the following expressions:

15X2 + 6X + 6 , 24X2 - 27X - 25

Answer: 39X2

Answer: -21X

Answer: -19


SOLUTION 1 :

 ( 15X+ 6X + 6 ) + ( 24X2 - 27X - 25 )

 = (15X2 + 24X2) + (6X - 27X) + (6 - 25)

 = (15 + 24) X2 + (6 - 27) X + (6 - 25)

 = 39X2 -21X  -19



3)  

 Add the following expressions:

9E2 + 5E + 11 , 12E2 - 21E - 14

Answer: 21E2

Answer: -16E

Answer: -3


SOLUTION 1 :

 ( 9E+ 5E + 11 ) + ( 12E2 - 21E - 14 )

 = (9E2 + 12E2) + (5E - 21E) + (11 - 14)

 = (9 + 12) E2 + (5 - 21) E + (11 - 14)

 = 21E2 -16E  -3



4)  

 Add the following expressions:

8Q2 + 2Q + 12 , 19Q2 - 27Q - 22

Answer: 27Q2

Answer: -25Q

Answer: -10


SOLUTION 1 :

 ( 8Q+ 2Q + 12 ) + ( 19Q2 - 27Q - 22 )

 = (8Q2 + 19Q2) + (2Q - 27Q) + (12 - 22)

 = (8 + 19) Q2 + (2 - 27) Q + (12 - 22)

 = 27Q2 -25Q  -10



5)  

 Add the following expressions:

16H2 + 2H + 11 , 5H2 - 24H - 22

Answer: 21H2

Answer: -22H

Answer: -11


SOLUTION 1 :

 ( 16H+ 2H + 11 ) + ( 5H2 - 24H - 22 )

 = (16H2 + 5H2) + (2H - 24H) + (11 - 22)

 = (16 + 5) H2 + (2 - 24) H + (11 - 22)

 = 21H2 -22H  -11



6)  

 Add the following expressions:

9S2 + 4S + 10 , 10S2 - 24S - 25

Answer: 19S2

Answer: -20S

Answer: -15


SOLUTION 1 :

 ( 9S+ 4S + 10 ) + ( 10S2 - 24S - 25 )

 = (9S2 + 10S2) + (4S - 24S) + (10 - 25)

 = (9 + 10) S2 + (4 - 24) S + (10 - 25)

 = 19S2 -20S  -15



7)  

 Add the following expressions:

11U2 + 11U + 12 , 12U2 - 20U - 19

Answer: 23U2

Answer: -9U

Answer: -7


SOLUTION 1 :

 ( 11U+ 11U + 12 ) + ( 12U2 - 20U - 19 )

 = (11U2 + 12U2) + (11U - 20U) + (12 - 19)

 = (11 + 12) U2 + (11 - 20) U + (12 - 19)

 = 23U2 -9U  -7



8)  

 Add the following expressions:

2V2 + 3V + 2 , 20V2 - 24V - 16

Answer: 22V2

Answer: -21V

Answer: -14


SOLUTION 1 :

 ( 2V+ 3V + 2 ) + ( 20V2 - 24V - 16 )

 = (2V2 + 20V2) + (3V - 24V) + (2 - 16)

 = (2 + 20) V2 + (3 - 24) V + (2 - 16)

 = 22V2 -21V  -14



9)  

 Add the following expressions:

2M2 + 12M + 3 , 19M2 - 20M - 28

Answer: 21M2

Answer: -8M

Answer: -25


SOLUTION 1 :

 ( 2M+ 12M + 3 ) + ( 19M2 - 20M - 28 )

 = (2M2 + 19M2) + (12M - 20M) + (3 - 28)

 = (2 + 19) M2 + (12 - 20) M + (3 - 28)

 = 21M2 -8M  -25



10)  

 Add the following expressions:

12K2 + 4K + 9 , 8K2 - 20K - 16

Answer: 20K2

Answer: -16K

Answer: -7


SOLUTION 1 :

 ( 12K+ 4K + 9 ) + ( 8K2 - 20K - 16 )

 = (12K2 + 8K2) + (4K - 20K) + (9 - 16)

 = (12 + 8) K2 + (4 - 20) K + (9 - 16)

 = 20K2 -16K  -7