AnswersFL-1200330-Algebra 2 CRAddition and Subtraction of Polynomials

Addition and Subtraction of Polynomials Answers

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1
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Find each sum.(3n2 – 5n + 6) + (–8n2 – 3n – 2) =

A
–11n2 – 8n – 4
B
–11n2 – 2n + 4
C
–5n2 – 8n + 4
D
–5n2 – 2n – 4
2
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(0.4k3 – 2.5k) – (2.4k3 + 3k2 – 1.2k) =

A
–2.8k3 – 3k2 – 3.7k
B
–2.8k3 + 3k2 – 1.3k
C
–2k3 – 3k2 – 1.3k
D
–2k3 + 3k2 – 3.7k
3

Find each difference.(–6s2 + 12s – 8) – (3s2 + 8s – 6) =

A
–9s2 + 4s – 14
B
–9s2 + 4s – 2
C
–9s2 + 20s – 14
D
–9s2 + 20s – 2
4

Which example illustrates the commutative property of addition for polynomials?

A
(2x2 + 5x) = –(–2x2 – 5x)
B
(2x2 + 5x) + 0 = (2x2 + 5x)
C
(2x2 + 5x) + (4x2 – 4x) = 2x2 + 5x + 4x2 – 4x
D
(2x2 + 5x) + (4x2 – 4x) = (4x2 – 4x) + (2x2 + 5x)
5

Which expression represents the length, in inches, of the framed picture?x + 10✔ 2x + 10x² + 1010x²

A
x + 10
B
✔ 2x + 10
C
x² + 10
D
10x²
6

Alissa is framing a rectangular picture with length 10 inches and width 8 inches. Let x represent the width of the frame in inches.

Question illustration
Answers:
(:8
Blank 2:36
7

The polynomial –16t2 + vt + h0 models the height, in feet, of a ball t seconds after it is thrown. In this polynomial, v represents the initial vertical velocity of the ball and h0 represents the initial height of the ball.Min throws a baseball from a height of 6 feet with an initial vertical velocity of 30 feet per second. Which polynomial models the height of the ball, in feet?14t² + 6-16t² + 36t-16t² + 6t + 30✔ -16t² + 30t + 6

A
14t² + 6
B
-16t² + 36t
C
-16t² + 6t + 30
D
✔ -16t² + 30t + 6
8

At the same time, Min’s little brother throws a baseball from a height of 4 feet with an initial vertical velocity of 20 feet per second. What polynomial models the height of this ball, in feet?

Answers:
–16t2 +:20
+:4
9

Question text not available

Answers:
Selection 1:6x²
Selection 2:–6b³
10

Use what you know about addition and subtraction of polynomials to find the missing term represented by the question mark in each equation.(–4x2 + 6x + 3) + (8x + 5 + ?) = 2x2 + 14x + 8? = -6x² -2x² 2x² ✔ 6x²

Answers:
Selection 1:6x²
Selection 2:–6b³
11

Kendall says the sum of (6x2 + 4xy + 2y2) and (4x2 – 2xy – 3y2) is (10x2 + 2xy – 5y2). What error did Kendall make?

A
He combined the like terms 6x2 and 4x2 incorrectly.
B
He combined the like terms 4xy and –2xy incorrectly.
C
He combined the like terms 2y2 and –3y2 incorrectly.
D
He subtracted the polynomials instead of adding.
12

Which example illustrates the associative property of addition for polynomials?

A
[(2x2 + 5x) + (4x2 – 4x)] + 5x3 =(2x2 + 5x) + [(4x2 – 4x) + 5x3]
B
[(2x2 + 5x) + (4x2 – 4x)] + 5x3 =[(4x2 – 4x) + (2x2 + 5x)] + 5x3
C
(2x2 + 5x) + [(4x2 – 4x) + 5x3] =(2x2 + 5x) + [5x3 + (4x2 – 4x)]
D
[(2x2 + 5x) + (4x2 – 4x)] + 5x3 =[(5x + 2x2) + (–4x + 4x2)] + 5x3
13

Which expression represents the width of the framed picture?x + 8x² + 8✔ 2x + 88x²

A
x + 8
B
x² + 8
C
✔ 2x + 8
D
8x²
14

) inches

Answer:

36

15

+

Answer:

4

16

Which polynomial represents the difference in the heights of the baseballs t seconds after they are thrown?✔ 10t + 210t + 1050t + 250t + 10

A
✔ 10t + 2
B
10t + 10
C
50t + 2
D
50t + 10
17

(–b3 + 3b2 + 8) – (? – 5b2 – 9) = 5b3 + 8b2 + 17? = ✔ –6b³–4b³4b³6b³

A
✔ –6b³
B
–4b³
C
4b³
D
6b³
18

Anna subtracted (7n2 – 5n + 6) from (5n2 + 4n – 9) as shown below.What error did Anna make?

Question illustration
A
She did not align like terms correctly.
B
She forgot to use the additive inverse of (5n2 + 4n – 9).
C
She made a mistake when finding the additive inverse of (7n2 – 5n + 6).

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