eoc practice #11 spi 3102.3.2. eoc practice #11 operate with polynomials and simplify results
TRANSCRIPT
![Page 1: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/1.jpg)
EOC Practice #11
SPI 3102.3.2
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EOC Practice #11
• Operate with polynomials and simplify results.
![Page 3: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/3.jpg)
1. The length and width of a rectangular garden are represented in the figure shown.
Which equation represents the area (A) of the garden in terms of x?
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A. A = 3x + 3 C. A = 2x + 5
B. A = 2x2 + 6x D. A = 8x
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2. The length and width of a rectangular pool are represented in the figure shown.
Which equation represents the area (A) of the pool in terms of x?
![Page 6: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/6.jpg)
A. 4x + x + 1 C. 5x + 1
B. 3x2 + x D. 3x – 1
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3. The length and width of a rectangular garden are represented in the figure shown.
Which equation represents the perimeter (P) of the garden in terms of x?
![Page 8: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/8.jpg)
A. P = 6x2 + 2 C. P = 6x + 2
B. P = 4x D. P = 6x2
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4. The length and width of a rectangular garden are represented in the figure shown.
Which expression represents the perimeter (P) of the garden in terms of x?
![Page 10: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/10.jpg)
A. 6x2 – 4x C. 6x2
B. 6x2 + 4x – 24 D. x2 + 2x – 12
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5. Simplify:
(2x2 – 6x + 3) + (2x – 7)
A. 2x2 – 9x
B. 2x2 – 4x – 4
C. 2x2 + 4x + 10
D. 2x2 – 9x + 4
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6. Simplify:
4x3y5(8x2y + 4xy2 – 10x7y5
A. 32x6y5 + 16x3y10 – 40x21y25
B. 32xy + 16xy – 40xy
C. 32x5y6 + 16x4y7 – 40x10y10
D. 30xy – 16xy + 10xy
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7. Simplify:
(x + y)(x + y)
A. x2 + 2xy + y2
B. x2 + y2
C. 2x2 + 2xy + 2y2
D. x2 – y2
![Page 14: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/14.jpg)
8. Which is an equivalent form for all values of x, y, and z for which the expression is defined?
3x6y2z10
18x2y4z3
A. C.
B. D.
4 7
7
1
6
x y
y
1
6
xyz
4 7
2
1
6
x z
y
1
6
![Page 15: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/15.jpg)
9. Which values of x make the equation true?
x2 + 8x + 7 = 0
A. 6 and 1
B. 8 and 1
C. –7 and –1
D. 7 and 1
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10. Simplify:
(11m3 + 5m2 – m) + (m2 + 9m – 7)
A. 11m3 + 6m2 + 10m + 7
B. 11m3 + 6m2 + 8m – 7
C. 11m3 + 5m2 + 10m – 7
D. 11m3 + 5m2 + 8m + 7
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11. What is the sum of k3 + 9k2 + 3 and 7k2 – 5?
A. 8k3 + 16k2 – 2
B. 8k3 + 9k2 + 2
C. k3 + 16k2 – 2
D. k3 + 9k2 + 2
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12. Simplify: (3x + 2y)(5x + 4y)
A. 15x2 + 8y2
B. 15x2 + 10xy + 8y2
C. 8x2 + 22xy + 6y2
D. 15x2 + 22xy + 8y2
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The Answers
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1. The length and width of a rectangular garden are represented in the figure shown.
Which equation represents the area (A) of the garden in terms of x?
![Page 21: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/21.jpg)
A. A = 3x + 3 C. A = 2x + 5
B. A = 2x2 + 6x D. A = 8x
![Page 22: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/22.jpg)
2. The length and width of a rectangular pool are represented in the figure shown.
Which equation represents the area (A) of the pool in terms of x?
![Page 23: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/23.jpg)
A. 4x + x + 1 C. 5x + 1
B. 3x2 + x D. 3x – 1
![Page 24: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/24.jpg)
3. The length and width of a rectangular garden are represented in the figure shown.
Which equation represents the perimeter (P) of the garden in terms of x?
![Page 25: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/25.jpg)
A. P = 6x2 + 2 C. 6x + 2
B. 4x D. 6x2
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4. The length and width of a rectangular garden are represented in the figure shown.
Which equation represents the perimeter (P) of the garden in terms of x?
![Page 27: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/27.jpg)
A. 6x2 – 4x C. 6x2
B. 6x2 + 4x – 24 D. x2 + 2x – 12
![Page 28: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/28.jpg)
5. Simplify:
(2x2 – 6x + 3) + (2x – 7)
A. 2x2 – 9x
B. 2x2 – 4x – 4
C. 2x2 + 4x + 10
D. 2x2 – 9x + 4
![Page 29: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/29.jpg)
6. Simplify:
4x3y5(8x2y + 4xy2 – 10x7y5
A. 32x6y5 + 16x3y10 – 40x21y25
B. 32xy + 16xy – 40xy
C. 32x5y6 + 16x4y7 – 40x10y10
D. 30xy – 16xy + 10xy
![Page 30: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/30.jpg)
7. Simplify:
(x + y)(x + y)
A. x2 + 2xy + y2
B. x2 + y2
C. 2x2 + 2xy + 2y2
D. x2 – y2
![Page 31: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/31.jpg)
8. Which is an equivalent form for all values of x, y, and z for which the expression is defined?
3x6y2z10
18x2y4z3
A. C.
B. D.
4 7
7
1
6
x y
y
1
6
xyz
4 7
2
1
6
x z
y
1
6
![Page 32: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/32.jpg)
9. Which values of x make the equation true?
x2 + 8x + 7 = 0
A. 6 and 1
B. 8 and 1
C. –7 and –1
D. 7 and 1
![Page 33: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/33.jpg)
10. Simplify:
(11m3 + 5m2 – m) + (m2 + 9m – 7)
A. 11m3 + 6m2 + 10m + 7
B. 11m3 + 6m2 + 8m – 7
C. 11m3 + 5m2 + 10m – 7
D. 11m3 + 5m2 + 8m + 7
![Page 34: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/34.jpg)
11. What is the sum of k3 + 9k2 + 3 and 7k2 – 5?
A. 8k3 + 16k2 – 2
B. 8k3 + 9k2 + 2
C. k3 + 16k2 – 2
D. k3 + 9k2 + 2
![Page 35: EOC Practice #11 SPI 3102.3.2. EOC Practice #11 Operate with polynomials and simplify results](https://reader033.vdocuments.us/reader033/viewer/2022061516/56649d9c5503460f94a859dc/html5/thumbnails/35.jpg)
12. Simplify: (3x + 2y)(5x + 4y)
A. 15x2 + 8y2
B. 15x2 + 10xy + 8y2
C. 8x2 + 22xy + 6y2
D. 15x2 + 22xy + 8y2