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:

14H2 + 4H + 9 , 8H2 - 15H - 20

H2

H


Answer:_______________




2)  

 Add the following expressions:

6P2 + 12P + 3 , 17P2 - 27P - 23

P2

P


Answer:_______________




3)  

 Add the following expressions:

4N2 + 11N + 3 , 8N2 - 19N - 23

N2

N


Answer:_______________




4)  

 Add the following expressions:

15O2 + 11O + 9 , 19O2 - 27O - 17

O2

O


Answer:_______________




5)  

 Add the following expressions:

21T2 + 11T + 11 , 7T2 - 28T - 21

T2

T


Answer:_______________




6)  

 Add the following expressions:

9P2 + 3P + 6 , 10P2 - 22P - 22

P2

P


Answer:_______________




7)  

 Add the following expressions:

13F2 + 12F + 2 , 6F2 - 23F - 29

F2

F


Answer:_______________




8)  

 Add the following expressions:

4R2 + 8R + 9 , 20R2 - 27R - 22

R2

R


Answer:_______________




9)  

 Add the following expressions:

16K2 + 12K + 5 , 19K2 - 23K - 25

K2

K


Answer:_______________




10)  

 Add the following expressions:

9L2 + 8L + 2 , 17L2 - 22L - 22

L2

L


Answer:_______________




 

1)  

 Add the following expressions:

14W2 + 4W + 9 , 8W2 - 15W - 20

Answer: 22W2

Answer: -11W

Answer: -11


SOLUTION 1 :

 ( 14W+ 4W + 9 ) + ( 8W2 - 15W - 20 )

 = (14W2 + 8W2) + (4W - 15W) + (9 - 20)

 = (14 + 8) W2 + (4 - 15) W + (9 - 20)

 = 22W2 -11W  -11



2)  

 Add the following expressions:

6N2 + 12N + 3 , 17N2 - 27N - 23

Answer: 23N2

Answer: -15N

Answer: -20


SOLUTION 1 :

 ( 6N+ 12N + 3 ) + ( 17N2 - 27N - 23 )

 = (6N2 + 17N2) + (12N - 27N) + (3 - 23)

 = (6 + 17) N2 + (12 - 27) N + (3 - 23)

 = 23N2 -15N  -20



3)  

 Add the following expressions:

4I2 + 11I + 3 , 8I2 - 19I - 23

Answer: 12I2

Answer: -8I

Answer: -20


SOLUTION 1 :

 ( 4I+ 11I + 3 ) + ( 8I2 - 19I - 23 )

 = (4I2 + 8I2) + (11I - 19I) + (3 - 23)

 = (4 + 8) I2 + (11 - 19) I + (3 - 23)

 = 12I2 -8I  -20



4)  

 Add the following expressions:

15M2 + 11M + 9 , 19M2 - 27M - 17

Answer: 34M2

Answer: -16M

Answer: -8


SOLUTION 1 :

 ( 15M+ 11M + 9 ) + ( 19M2 - 27M - 17 )

 = (15M2 + 19M2) + (11M - 27M) + (9 - 17)

 = (15 + 19) M2 + (11 - 27) M + (9 - 17)

 = 34M2 -16M  -8



5)  

 Add the following expressions:

21J2 + 11J + 11 , 7J2 - 28J - 21

Answer: 28J2

Answer: -17J

Answer: -10


SOLUTION 1 :

 ( 21J+ 11J + 11 ) + ( 7J2 - 28J - 21 )

 = (21J2 + 7J2) + (11J - 28J) + (11 - 21)

 = (21 + 7) J2 + (11 - 28) J + (11 - 21)

 = 28J2 -17J  -10



6)  

 Add the following expressions:

9F2 + 3F + 6 , 10F2 - 22F - 22

Answer: 19F2

Answer: -19F

Answer: -16


SOLUTION 1 :

 ( 9F+ 3F + 6 ) + ( 10F2 - 22F - 22 )

 = (9F2 + 10F2) + (3F - 22F) + (6 - 22)

 = (9 + 10) F2 + (3 - 22) F + (6 - 22)

 = 19F2 -19F  -16



7)  

 Add the following expressions:

13V2 + 12V + 2 , 6V2 - 23V - 29

Answer: 19V2

Answer: -11V

Answer: -27


SOLUTION 1 :

 ( 13V+ 12V + 2 ) + ( 6V2 - 23V - 29 )

 = (13V2 + 6V2) + (12V - 23V) + (2 - 29)

 = (13 + 6) V2 + (12 - 23) V + (2 - 29)

 = 19V2 -11V  -27



8)  

 Add the following expressions:

4L2 + 8L + 9 , 20L2 - 27L - 22

Answer: 24L2

Answer: -19L

Answer: -13


SOLUTION 1 :

 ( 4L+ 8L + 9 ) + ( 20L2 - 27L - 22 )

 = (4L2 + 20L2) + (8L - 27L) + (9 - 22)

 = (4 + 20) L2 + (8 - 27) L + (9 - 22)

 = 24L2 -19L  -13



9)  

 Add the following expressions:

16S2 + 12S + 5 , 19S2 - 23S - 25

Answer: 35S2

Answer: -11S

Answer: -20


SOLUTION 1 :

 ( 16S+ 12S + 5 ) + ( 19S2 - 23S - 25 )

 = (16S2 + 19S2) + (12S - 23S) + (5 - 25)

 = (16 + 19) S2 + (12 - 23) S + (5 - 25)

 = 35S2 -11S  -20



10)  

 Add the following expressions:

9Z2 + 8Z + 2 , 17Z2 - 22Z - 22

Answer: 26Z2

Answer: -14Z

Answer: -20


SOLUTION 1 :

 ( 9Z+ 8Z + 2 ) + ( 17Z2 - 22Z - 22 )

 = (9Z2 + 17Z2) + (8Z - 22Z) + (2 - 22)

 = (9 + 17) Z2 + (8 - 22) Z + (2 - 22)

 = 26Z2 -14Z  -20