Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Write the polynomial in standard form. Then name the polynomial based on its
degree and number of terms.
2 – 11x2 – 8x +
6x2
a. | –5x2 – 8x + 2; quadratic
trinomial | c. | –6x2 – 8x – 2; cubic
polynomial | b. | 5x2 – 8x – 2; quadratic
trinomial | d. | 6x2 – 8x + 2; cubic
trinomial |
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2.
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Write the polynomial in standard form.
4g – g3
+ 3g2 – 2
a. | –2 + 4g + 3g2 –
g3 | c. | 3g3 – g2 + 4g –
2 | b. | g3 – 3g2 + 4g –
2 | d. | –g3 + 3g2 + 4g –
2 |
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Find the degree of the monomial.
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3.
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7m6n5
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4.
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6x8y5
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5.
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Write the perimeter of the figure.  a. | 9x + 7x | b. | 11x + 3x + 2 | c. | 14x + 2 | d. | 14x |
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Simplify the difference.
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6.
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(–7x – 5x4 + 5) –
(–7x4 – 5 – 9x)
a. | 2x4 + 2x + 8 | c. | –14x4
– 10x + 10 | b. | –14x4 + 10x +
10 | d. | 2x4 +
2x + 10 |
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7.
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(4w2 – 4w – 8) –
(2w2 + 3w – 6)
a. | 2w2 – 7w – 2 | c. | 2w2 –
1w – 14 | b. | 6w2 – 1w –
14 | d. | 6w2 +
7w + 2 |
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8.
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Simplify the sum.
(4u3 + 4u2 + 2) +
(6u3 – 2u + 8)
a. | 10 – 2u + 4u2 + 10
u3 | c. | –2u3 + 4u2 – 2u
+ 10 | b. | –2u3 – 2u2 + 4u –
10 | d. | 10u3 +
4u2 – 2u + 10 |
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Simplify the product.
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9.
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2n(n2 + 3n + 4)
a. | 2n3 + 6n2 + 8n | c. | 2n3 + 6n + 8 | b. | 2n3 + 3n +
4 | d. | n2 +
5n + 4 |
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10.
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3p4(4p4 + 7p3 + 4p
+ 1)
a. | 12p8 + 3p7 + 4p5 +
p4 | c. | 7p8 + 10p7 + 7p5 +
4p4 | b. | 12p8 + 21p7
+ 12p5 + 3p4 | d. | 12p16 +
21p12 + 15p4 |
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11.
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8x2(4x2 + 4y6)
a. | 12x4 + 12x2y6 | c. | 12x4 +
12x2y6 | b. | 32x4 +
32x2y6 | d. | 32x4 + 32xy8 |
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12.
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7a3(5a6 –
2b3)
a. | 12a9 –
9a3b6 | c. | 35a9 –
14a3b3 | b. | 35a9 –
14ab6 | d. | 12a18 –
9a3b6 |
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13.
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5a2(3a4 + 3b)
a. | 8a4 + 8ab | c. | 15a6 +
15a2b | b. | 15a8 +
3b | d. | 8a6 +
15a2b |
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14.
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8p(–3p2 + 6p – 2)
a. | –5p3 + 14p2 –
6p | c. | 14p2 – 6p –
5p3 | b. | 48p2 – 16p
– 24p3 | d. | –24p3 + 48p2 –
16p |
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15.
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The Johnsons want to cover their backyard with new grass. Their backyard is
rectangular, with a length of 3x – 5 feet and a width of 4x – 10 feet.
However, their rectangular swimming pool, along with its surrounding patio, has dimensions of
x + 8 by x – 2 feet. What is the area of the region of the yard that they want to
cover with new grass?
a. | 6x2 – 55x + 104 ft2 | c. | 11x2 – 56x + 66 ft2 | b. | x2
+ 6x – 16 ft2 | d. | 12x2 – 50x + 50
ft2 |
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Simplify the product using FOIL.
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16.
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(3x – 7)(3x – 5)
a. | 9x2 + 6x + 35 | c. | 9x2 –
36x – 35 | b. | 9x2 + 36x +
35 | d. | 9x2
– 36x + 35 |
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17.
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18.
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Simplify the product using the distributive property. 
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19.
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20.
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Simplify.
(2n2 + 4n + 4)(4n – 5)
a. | 8n3 + 26n2 – 36n –
20 | c. | 8n3 + 4n2 – 6n –
20 | b. | 8n3 + 6n2 – 4n –
20 | d. | 8n3
– 6n2 + 36n – 20 |
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21.
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Simplify.
(2k + 3)(2k2 – 4k –
3)
a. | 4k3 + 18k2 – 2k –
9 | c. | 4k3 + 14k2 – 6k –
9 | b. | 4k3 – 2k2 + 6k –
9 | d. | 4k3
– 2k2 – 18k – 9 |
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Find the square.
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22.
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(2x – 6)2
a. | 4x2 – 24x + 36 | c. | 4x2 +
36 | b. | 4x2 – 8x + 36 | d. | 4x2 – 12x +
36 |
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23.
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(4x – 6y3)2
a. | 16x2 – 24xy3 +
36y6 | c. | 16x2 + 36y6 | b. | 16x2 – 48xy3 +
36y6 | d. | 16x2 – 4xy3 +
36y6 |
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24.
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25.
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Find the area of the UNSHADED region. Write your answer in standard
form.  a. | –2x2 + 10x + 25 | c. | 10x + 25 | b. | x2
+ 8x + 25 | d. | x2 + 10x + 25 |
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26.
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Find 332 using mental math.
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Find the product.
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27.
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(j + 7)(j – 7)
a. | j2 + 14j – 49 | c. | j2 + 14j
– 49 | b. | j2 – 14j – 49 | d. | j2 –
49 |
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28.
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(2n + 2)(2n – 2)
a. | 4n2 – 4 | c. | 4n2 + 2n
– 4 | b. | 4n2 – 4n – 4 | d. | 4n2 + 4n –
4 |
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29.
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(4p – 6)(4p + 6)
a. | 16p2 – 36 | c. | 16p2 + 48p
+ 36 | b. | 16p2 – 48p – 36 | d. | 16p2 +
36 |
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30.
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(4m2 – 5)(4m2 + 5)
a. | 16m3 – 25 | c. | 16m4 +
25 | b. | 16m2 – 25 | d. | 16m4 –
25 |
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