Name _______________________________________ Date __________________ Class __________________
Understanding Polynomials and Operations
Practice Test
1. Which of the following terms is not a
monomial?
7. Which of the following is equivalent to
16y 3  12y?
A 6x
B
A y(16y  12)
1 2
x
3
B 2y 2 (8y  6)
C 4y(4y 2  3y)
C 13
D 3x
D 4y(4y 2  3)
3
8. What is the value of x2  8x  12 when
x  1?
2. Which best describes the polynomial
7xy  15y 3 ?
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A monomial with a degree of 2
B binomial with a degree of 3
9. Multiply (2x  3)(x2  2x  5). What is the
product?
C binomial with a degree of 7
D trinomial with a degree of 2
3. Add (2x3  5)  (x3  3). What is the sum?
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4
2
4. Multiply (8x )(7x ). What is the product?
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10. Which of the following is equal to
x - 2 x 3 + 7x + 2 ?
(
)(
)
A 3x3 7x2 16x  4
B x3  7x2  x  2
C x4  2x3  7x2  16x  4
5. Subtract (x  5x  6)  (3x  7x  1).
What is the difference?
2
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2
D x4  2x3  7x2 12x  4
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6. Does each of the following result in
x2  100?
A (x  90)  (x  10)
Yes
No
B (x  9)2  19
Yes
No
C x(x  100)
Yes
No
D (x  10)(x  10)
Yes
No
11. What is the product of (2x  3) and
(2x  3)?
A 4x
C 4x2  3
B 4x2  9
D 4x2  9
12. The length of a rectangle is (x  2). The
width of the rectangle is (x2  1). Which
expression represents the perimeter of
the rectangle?
A x2  x  3
B 2x2  2x  6
C x3  2x2  x  2
D x3  2x2  x  3
13. How many terms are in the product when
5x is multiplied by (x  2)?
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Name _______________________________________ Date __________________ Class __________________
14. Simplify 5m2  11m  16m2  7m.
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15. Subtract (7x2  3x)  (5x2  5x).
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16. Multiply 6(10p3  8p  2).
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20. Multiply (5x  3)2.
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21. Multiply (14m2n5)(2m5). What is the
product?
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22. What is the value of 2x2  5x if x  3?
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17.
23. What is (x2  5x) multiplied by (x  7)?
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a. Write a polynomial that represents
the perimeter of the rectangle.
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b. Find the perimeter of the rectangle in
feet if x  5.
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c. Write a polynomial that represents
the area of the rectangle.
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d. Find the area of the rectangle if
x  2 in.
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18. Multiply (2x  9)(x  3).
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24. Multiply (2m  7)2. What is the product?
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25. What is the degree of the polynomial
3x3  5x2  1?
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26. Is x2  20x  100 a perfect square
trinomial? Explain why or why not.
________________________________________
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27. Multiply (b  12)(b  12). What is the
product?
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28. Multiply 5(5  x)(5  x). What is the
product?
19. Multiply (x  13)(x  5).
________________________________________
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