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 : ( 17Q2 + 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 : ( 2Z2 + 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 : ( 21K2 + 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 : ( 4E2 + 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 : ( 14F2 + 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 : ( 5G2 + 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 : ( 10Z2 + 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 : ( 3S2 + 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 : ( 22U2 + 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 : ( 4L2 + 10L + 3 ) + ( 20L2 - 29L - 23 ) = (4L2 + 20L2) + (10L - 29L) + (3 - 23) = (4 + 20) L2 + (10 - 29) L + (3 - 23) = 24L2 -19L -20 |