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:

22N2 + 6N + 7 , 24N2 - 15N - 28

N2

N


Answer:_______________




2)  

 Add the following expressions:

16R2 + 6R + 4 , 7R2 - 19R - 17

R2

R


Answer:_______________




3)  

 Add the following expressions:

3K2 + 7K + 10 , 21K2 - 23K - 24

K2

K


Answer:_______________




4)  

 Add the following expressions:

2U2 + 12U + 8 , 24U2 - 28U - 21

U2

U


Answer:_______________




5)  

 Add the following expressions:

6I2 + 6I + 4 , 5I2 - 29I - 24

I2

I


Answer:_______________




6)  

 Add the following expressions:

6A2 + 6A + 10 , 13A2 - 27A - 21

A2

A


Answer:_______________




7)  

 Add the following expressions:

21T2 + 8T + 5 , 15T2 - 20T - 17

T2

T


Answer:_______________




8)  

 Add the following expressions:

8V2 + 12V + 9 , 10V2 - 24V - 20

V2

V


Answer:_______________




9)  

 Add the following expressions:

21D2 + 4D + 7 , 10D2 - 17D - 23

D2

D


Answer:_______________




10)  

 Add the following expressions:

15E2 + 4E + 11 , 24E2 - 16E - 22

E2

E


Answer:_______________




 

1)  

 Add the following expressions:

22S2 + 6S + 7 , 24S2 - 15S - 28

Answer: 46S2

Answer: -9S

Answer: -21


SOLUTION 1 :

 ( 22S+ 6S + 7 ) + ( 24S2 - 15S - 28 )

 = (22S2 + 24S2) + (6S - 15S) + (7 - 28)

 = (22 + 24) S2 + (6 - 15) S + (7 - 28)

 = 46S2 -9S  -21



2)  

 Add the following expressions:

16T2 + 6T + 4 , 7T2 - 19T - 17

Answer: 23T2

Answer: -13T

Answer: -13


SOLUTION 1 :

 ( 16T+ 6T + 4 ) + ( 7T2 - 19T - 17 )

 = (16T2 + 7T2) + (6T - 19T) + (4 - 17)

 = (16 + 7) T2 + (6 - 19) T + (4 - 17)

 = 23T2 -13T  -13



3)  

 Add the following expressions:

3O2 + 7O + 10 , 21O2 - 23O - 24

Answer: 24O2

Answer: -16O

Answer: -14


SOLUTION 1 :

 ( 3O+ 7O + 10 ) + ( 21O2 - 23O - 24 )

 = (3O2 + 21O2) + (7O - 23O) + (10 - 24)

 = (3 + 21) O2 + (7 - 23) O + (10 - 24)

 = 24O2 -16O  -14



4)  

 Add the following expressions:

2Q2 + 12Q + 8 , 24Q2 - 28Q - 21

Answer: 26Q2

Answer: -16Q

Answer: -13


SOLUTION 1 :

 ( 2Q+ 12Q + 8 ) + ( 24Q2 - 28Q - 21 )

 = (2Q2 + 24Q2) + (12Q - 28Q) + (8 - 21)

 = (2 + 24) Q2 + (12 - 28) Q + (8 - 21)

 = 26Q2 -16Q  -13



5)  

 Add the following expressions:

6A2 + 6A + 4 , 5A2 - 29A - 24

Answer: 11A2

Answer: -23A

Answer: -20


SOLUTION 1 :

 ( 6A+ 6A + 4 ) + ( 5A2 - 29A - 24 )

 = (6A2 + 5A2) + (6A - 29A) + (4 - 24)

 = (6 + 5) A2 + (6 - 29) A + (4 - 24)

 = 11A2 -23A  -20



6)  

 Add the following expressions:

6X2 + 6X + 10 , 13X2 - 27X - 21

Answer: 19X2

Answer: -21X

Answer: -11


SOLUTION 1 :

 ( 6X+ 6X + 10 ) + ( 13X2 - 27X - 21 )

 = (6X2 + 13X2) + (6X - 27X) + (10 - 21)

 = (6 + 13) X2 + (6 - 27) X + (10 - 21)

 = 19X2 -21X  -11



7)  

 Add the following expressions:

21L2 + 8L + 5 , 15L2 - 20L - 17

Answer: 36L2

Answer: -12L

Answer: -12


SOLUTION 1 :

 ( 21L+ 8L + 5 ) + ( 15L2 - 20L - 17 )

 = (21L2 + 15L2) + (8L - 20L) + (5 - 17)

 = (21 + 15) L2 + (8 - 20) L + (5 - 17)

 = 36L2 -12L  -12



8)  

 Add the following expressions:

8M2 + 12M + 9 , 10M2 - 24M - 20

Answer: 18M2

Answer: -12M

Answer: -11


SOLUTION 1 :

 ( 8M+ 12M + 9 ) + ( 10M2 - 24M - 20 )

 = (8M2 + 10M2) + (12M - 24M) + (9 - 20)

 = (8 + 10) M2 + (12 - 24) M + (9 - 20)

 = 18M2 -12M  -11



9)  

 Add the following expressions:

21I2 + 4I + 7 , 10I2 - 17I - 23

Answer: 31I2

Answer: -13I

Answer: -16


SOLUTION 1 :

 ( 21I+ 4I + 7 ) + ( 10I2 - 17I - 23 )

 = (21I2 + 10I2) + (4I - 17I) + (7 - 23)

 = (21 + 10) I2 + (4 - 17) I + (7 - 23)

 = 31I2 -13I  -16



10)  

 Add the following expressions:

15D2 + 4D + 11 , 24D2 - 16D - 22

Answer: 39D2

Answer: -12D

Answer: -11


SOLUTION 1 :

 ( 15D+ 4D + 11 ) + ( 24D2 - 16D - 22 )

 = (15D2 + 24D2) + (4D - 16D) + (11 - 22)

 = (15 + 24) D2 + (4 - 16) D + (11 - 22)

 = 39D2 -12D  -11