Download Test Ch5 review (5-1 to 5-6)

Algebra I
Mr. McKernon
Name_________________________________________
Test 5-1 to 5-6
Vocabulary:
Choose the best description or definition for each question (1 pt ):
1) The greatest common factor between two or more numbers is…
a) the largest number that is a factor of both numbers
b) the smallest number that is a prime number of both numbers
c) the largest number that is also the greatest number
2) Prime factorization is when …
a) a number is broken down into its prime factors.
b) prime numbers multiply
c) prime numbers are factored
3) A difference of squares is defined as…
a) squares that are subtracted from their prime numbers
b) two square numbers multiplied by their opposites.
c) two perfect squares that are subtracted from each other.
4) A perfect square trinomial is the same as a…
a) trinomials that are perfectly squared
b) squared binomial when multiplied
c) the square root of a binomial
5) Pick the example of the correct rule when dividing monomials with the same base…
x 7 x 7 4
a) 4 =
1
x
b)
1
x7
= 74
4
x
x
c)
x 7 x 4 7
=
1
x4
6) The linear term is which of the below from the quadratic expression; x 2  4 x  9
a) x 2
b) 4x
c) 9
Algebra I
Mr. McKernon
Instructions: Simplify each of the following. Remember to show all your work and circle/box your
answer. ( 2pts each)
1. List all the positive and negative factors of 24.
2. Find the prime factorization of 120
4. What is the GCF of 42ab 2c 3 and 30a 3b 2c 4 ?
3. What is the GCF of 56, 98 ?
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5-9: Simplify each expression. You may assume no denominator equals zero. (2pts each)
5.
 2 x 4
6.
 x4
30x 3 y
15xy 2
7.
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8.
12x 4  24 x 2  9x
3x
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16xy 2 z 3
12x 3 y 2
9.
36x 5 y 3 12x 4 y 4
6x 3 y 2
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10-14: Multiply the following binomials. You may use any of the methods we have learned in class.
(2pts each)
10. 3x  2x  5
11. 4x  54x  5
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12. 5x 2  2y 2x 2  3y 
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13. 4 x  3
2
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Algebra I
14. 7x  y 3 3x 2  5

15. x  y
2
x
2
y

Mr. McKernon
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15-16: Factor out the GCF of the polynomial. Leave in factored form. (2pts each)
15. 14 x 3 y 3  21x 5 y 2  35x 4 y 5
16. 24wx 3 y 3 z 2  144w3 xy 2 z 2
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17-20: Factor completely by looking for perfect square trinomials or a difference of two squares. If it is not
factorable write “not factorable” below it. (2pts each)
17. 25x 2  49
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18. 4 x 2  36x  81
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19. 49x 2  28xy  4 y 2
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20. 169x 2  64 y 2
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21-26: Factor each polynomial completely. Look for a GCF first, then factor accordingly. If it cannot
factor, write, “not factorable” in the space provided. (2pts each)
21. a 2 16a  64
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22. 125x 2  50x  5
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23. 27 x 2  12 y 2
24. 9 x 2  44 x  121
25. x 2 y  6xy 2  9y 3
26. 3x 8  48x 5 192x 2
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