Addition and Subtraction of Polynomials Answers

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1
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(3a2 – 5ab + b2) + (–3a2 + 2b2 + 8ab)Which of the following shows the sum of the polynomials rewritten with like terms grouped together?

A
[3a2 + (–3a2)] + (–5ab + 8ab) + (b2 + 2b2)
B
[3a2 + (–3a2)] + (–5ab + 2b2) + (b2 + 8ab)
C
[3a2 + 3a2] + (5ab + 8ab) + (b2 + 2b2)
D
[3a2 + 3a2] + (5ab + 2b2) + (b2 + 8ab)
2
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Use your result from the previous task to find the sum.

A
6ab2
B
3ab + 3b2
C
-6a2 + 3ab + 3b2
D
-6a2 - 13ab + 3b2
3

= –18t

Question illustration
Answers:
Blank 1:D
Blank 2:C
4

= –18t

Answer:

C = –18t

5

What is the sum of the polynomials?

A
1.3t3 + t2 – 42t + 8
B
1.3t3 + t2 – 6t + 8
C
1.9t3 + 8.4t2 – 42t
D
1.9t2 – 42t + 8
6

= 0t3

Question illustration
Answer:

A = 0t3

7

+ ⇒ 9

Answer:

9

8

+ ⇒ 5 x

Answer:

5

12

The diagram shows the plans for the triangular park. How much longer is BC than AC?

A
(3x2 – 25x – 12) feet
B
(3x2 – 5x – 12) feet
C
(3x2 + 5x – 4) feet
D
(3x2 + 25x – 4) feet
13

= 8

Answer:

D = 8

14

+

Answer:

9

15

After you rewrite subtraction as addition of the additive inverse, how can the like terms be grouped?

A
[3a2 + (–3a2)] + (–5ab + 8ab) + [b2 + (–2b2)]
B
[3a2 + (–3a2)] + (–5ab + 8ab) + (b2 + 2b2)
C
(3a2 + 3a2) + [–5ab + (–8ab)] + [b2 + (–2b2)]
D
(3a2 + 3a2) + [–5ab + (–2b2)] + [b2 + (–8ab)]
16

Choose the correct values for A, B, C, and D that align like terms to find the sum vertically. 1.3t3 + 0.4t2 + (–24t)

Question illustration
A
A = (–0.6t2) B = (–8) C = 18t D = 0t3
B
A = 0t3 B = (–0.6t2) C = 18t D = (–8)
C
A = 0t3 B = (–0.6t2) C = (–8) D = 18t
17

Which equivalent expression would you set up to verify the associative property of addition for(3x + 4) + ((5x2 – 1) + (2x + 6))?

A
(3x + 4) + (5x2 – 1)
B
(5x2 – 1) + ((3x + 4) + (2x + 6))
C
((3x + 4) + (5x2 – 1)) + (2x + 6)
D
(3x + 4) + (5x2 – 1) + (2x + 6)
19

What is the difference of the polynomials?0.7t³ - 0.2t² - 6t - 80.7t³ - t² - 6t - 81.3t³ - t² + 6t - 8✔ 1.3t³ - 0.2t² - 6t - 8

A
0.7t³ - 0.2t² - 6t - 8
B
0.7t³ - t² - 6t - 8
C
1.3t³ - t² + 6t - 8
D
✔ 1.3t³ - 0.2t² - 6t - 8

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