Algebra I
Polynomials
Practice Test
Name______________________________________________Period_____Date____________
Vocabulary: Define each word and give an example.
1.
Degree of a Polynomial
2.
GCF
Short Answer:
3.
Show the sum and difference pattern for multiplying two binomials.
4.
Describe how to determine if the polynomial ax  bx  c is factorable.
5.
Simplify the expression:
6.
Evaluate the expression. Write your final answer in scientific notation.
7.
Write the equation of the line that passes through the points
2
Review:
2 12  3 72  2
 4  10  3  10 
Graph the line 5 x  10  2 y .
Problems:
**Be sure to show all work used to obtain your answer. Circle or box in the final answer.**
9.
Classify the polynomials by their degree and number of terms.
a.
1  4 x2  2 x4
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b.
4x  5
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8
 5, 2  and  1, 3 in standard form with integer
coefficients.
8.
6
Algebra I
Polynomials
Practice Test
10. Find the sum or difference of the polynomials.
 b
a.
2
 3b    4b2  8b  5
b.
4 p
3
 p 2  1   2  p  p 2 
11. Find the product. Write your answer in standard form.
a.
6 x 3  x 2  3x  2 
b.
 2 x  3  3x 2  x  5
c.
5x
 4 x  3x 2  2 
d.
 4 x
e.
5 y  2 x 5 y  2 x 
f.
 5  3x 
2
12. Write an expression for the perimeter of a rectangle with a length of
13. Find the GCF of the terms:
2
 x  1  x  4 
2
 3x  5 and a width of  2 x  1 .
35a 4b8 , 49a 2b5 , 14ab4
14. Factor the GCF in the polynomial. 4 x  8 x  2 x
5
3
2
15. Factor the trinomials.
a.
x 2  11x  30
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b. 6 x  4 x  10
2
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Algebra I
Polynomials
Practice Test
16. Factor the polynomials.
a.
b. 16 x  24 x  9
169  9 y 2
2
17. Factor the expressions completely.
a.
16 x 2  36
b. 9  18 x  9 x
c.
30b4  58b3  24b2
d. 3x  15 x  6 x  30
3
2
2
Multiple Choice Section: Circle the best answer.
18. The function
g  x  is the amount of money Shawn has in the bank at the beginning of the month. The function f  x 
is the amount of money withdrawn from the account during the month. Which expression represents the amount of
money left at the end of the month?
f  x   x 2  3x  12
g  x   6 x 2  2 x  20
A. 5 x  5 x  8
2
5x 2  x  8
2
C. 5 x  x  8
2
D. 5 x  5 x  8
B.
19. Which expression below represents the product of
5x  6 and  2 x  5 ?
A. 10 x  37 x  30
2
B. 10 x  13 x  30
2
C. 10 x  13 x  30
2
D. 10 x  37 x  30
2
20. Expand the expression:  2 x  7 
2
4 x 2  49
2
B. 4 x  49
2
C. 4 x  28 x  49
2
D. 4 x  28 x  49
A.
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