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:

16S2 + 9S + 9 , 23S2 - 25S - 23

S2

S


Answer:_______________




2)  

 Add the following expressions:

5I2 + 2I + 3 , 22I2 - 24I - 19

I2

I


Answer:_______________




3)  

 Add the following expressions:

11W2 + 12W + 3 , 17W2 - 15W - 17

W2

W


Answer:_______________




4)  

 Add the following expressions:

22G2 + 4G + 12 , 22G2 - 21G - 27

G2

G


Answer:_______________




5)  

 Add the following expressions:

2R2 + 2R + 6 , 19R2 - 16R - 23

R2

R


Answer:_______________




6)  

 Add the following expressions:

14I2 + 11I + 11 , 10I2 - 27I - 27

I2

I


Answer:_______________




7)  

 Add the following expressions:

6U2 + 3U + 11 , 17U2 - 27U - 26

U2

U


Answer:_______________




8)  

 Add the following expressions:

16J2 + 2J + 6 , 12J2 - 20J - 15

J2

J


Answer:_______________




9)  

 Add the following expressions:

20T2 + 7T + 5 , 17T2 - 27T - 21

T2

T


Answer:_______________




10)  

 Add the following expressions:

21R2 + 8R + 8 , 14R2 - 17R - 22

R2

R


Answer:_______________




 

1)  

 Add the following expressions:

16P2 + 9P + 9 , 23P2 - 25P - 23

Answer: 39P2

Answer: -16P

Answer: -14


SOLUTION 1 :

 ( 16P+ 9P + 9 ) + ( 23P2 - 25P - 23 )

 = (16P2 + 23P2) + (9P - 25P) + (9 - 23)

 = (16 + 23) P2 + (9 - 25) P + (9 - 23)

 = 39P2 -16P  -14



2)  

 Add the following expressions:

5Z2 + 2Z + 3 , 22Z2 - 24Z - 19

Answer: 27Z2

Answer: -22Z

Answer: -16


SOLUTION 1 :

 ( 5Z+ 2Z + 3 ) + ( 22Z2 - 24Z - 19 )

 = (5Z2 + 22Z2) + (2Z - 24Z) + (3 - 19)

 = (5 + 22) Z2 + (2 - 24) Z + (3 - 19)

 = 27Z2 -22Z  -16



3)  

 Add the following expressions:

11S2 + 12S + 3 , 17S2 - 15S - 17

Answer: 28S2

Answer: -3S

Answer: -14


SOLUTION 1 :

 ( 11S+ 12S + 3 ) + ( 17S2 - 15S - 17 )

 = (11S2 + 17S2) + (12S - 15S) + (3 - 17)

 = (11 + 17) S2 + (12 - 15) S + (3 - 17)

 = 28S2 -3S  -14



4)  

 Add the following expressions:

22A2 + 4A + 12 , 22A2 - 21A - 27

Answer: 44A2

Answer: -17A

Answer: -15


SOLUTION 1 :

 ( 22A+ 4A + 12 ) + ( 22A2 - 21A - 27 )

 = (22A2 + 22A2) + (4A - 21A) + (12 - 27)

 = (22 + 22) A2 + (4 - 21) A + (12 - 27)

 = 44A2 -17A  -15



5)  

 Add the following expressions:

2A2 + 2A + 6 , 19A2 - 16A - 23

Answer: 21A2

Answer: -14A

Answer: -17


SOLUTION 1 :

 ( 2A+ 2A + 6 ) + ( 19A2 - 16A - 23 )

 = (2A2 + 19A2) + (2A - 16A) + (6 - 23)

 = (2 + 19) A2 + (2 - 16) A + (6 - 23)

 = 21A2 -14A  -17



6)  

 Add the following expressions:

14B2 + 11B + 11 , 10B2 - 27B - 27

Answer: 24B2

Answer: -16B

Answer: -16


SOLUTION 1 :

 ( 14B+ 11B + 11 ) + ( 10B2 - 27B - 27 )

 = (14B2 + 10B2) + (11B - 27B) + (11 - 27)

 = (14 + 10) B2 + (11 - 27) B + (11 - 27)

 = 24B2 -16B  -16



7)  

 Add the following expressions:

6T2 + 3T + 11 , 17T2 - 27T - 26

Answer: 23T2

Answer: -24T

Answer: -15


SOLUTION 1 :

 ( 6T+ 3T + 11 ) + ( 17T2 - 27T - 26 )

 = (6T2 + 17T2) + (3T - 27T) + (11 - 26)

 = (6 + 17) T2 + (3 - 27) T + (11 - 26)

 = 23T2 -24T  -15



8)  

 Add the following expressions:

16P2 + 2P + 6 , 12P2 - 20P - 15

Answer: 28P2

Answer: -18P

Answer: -9


SOLUTION 1 :

 ( 16P+ 2P + 6 ) + ( 12P2 - 20P - 15 )

 = (16P2 + 12P2) + (2P - 20P) + (6 - 15)

 = (16 + 12) P2 + (2 - 20) P + (6 - 15)

 = 28P2 -18P  -9



9)  

 Add the following expressions:

20H2 + 7H + 5 , 17H2 - 27H - 21

Answer: 37H2

Answer: -20H

Answer: -16


SOLUTION 1 :

 ( 20H+ 7H + 5 ) + ( 17H2 - 27H - 21 )

 = (20H2 + 17H2) + (7H - 27H) + (5 - 21)

 = (20 + 17) H2 + (7 - 27) H + (5 - 21)

 = 37H2 -20H  -16



10)  

 Add the following expressions:

21S2 + 8S + 8 , 14S2 - 17S - 22

Answer: 35S2

Answer: -9S

Answer: -14


SOLUTION 1 :

 ( 21S+ 8S + 8 ) + ( 14S2 - 17S - 22 )

 = (21S2 + 14S2) + (8S - 17S) + (8 - 22)

 = (21 + 14) S2 + (8 - 17) S + (8 - 22)

 = 35S2 -9S  -14