Vocabulary Matching (9.1):
1. B Composite Numbers A. A whole number, greater than 1 whose only factors are 1 & itself.
A Prime Numbers B. A whole number, greater than 1 with more than 2 factors.
C
C. A whole number expressed as a product of factors that are all prime. 2. 3. Prime Factorization
E
4. GCF
5. D Factored Form
D. A monomial expressed as a product of prime numbers and no variable has an exponent greater than 1.
E. The product of the prime factors common to two or more integers.
1
Find the Prime Factorization of the following (9.1):
­28
6.
72
7.
2
Find the Greatest Common Factor (GCF) of the following (9.1):
8.
24, 64
9.
28, 70
3
Completely Factor the Following if Possible. If the polynomial cannot be factored write prime:
10. 81y2 ‐ 25w2 (Lesson 9.5)
11. x2 ‐ 14x + 49 (Lesson 9.3 & 9.6)
4
12. x2 + 10x + 24 (Lesson 9.3)
13. 4my ‐ 20m + 3py ‐ 15p (Lesson 9.2)
5
14.
49x2 ‐ 100y2 (Lesson 9.5)
15.
x2 ‐ 25 (Lesson 9.5)
6
Solve each Equation. Check your answers.
16.
(x ‐ 1) (x + 3) = 0 (Lesson 9.3)
17.
(4x ‐ 5 ) (3x + 4) = 0 (Lesson 9.4)
7
18.
x2 = 49 (Lesson 9.5 & 9.6)
19.
x2 + 21 = 10x (Lesson 9.3)
8
20.
3x2 + 6 = 11x (Lesson 9.4)
9
21.
_________ Find the prime factorization of 30.
A.
1 ∙ 30
B. 2 ∙ 15
C. 2 ∙ 3 ∙ 5
D. 3 ∙ 10
10
22.
_________ Find the GCF of 24ab and 32ab.
A.
2
B. 6ab
C. 4ab
D. 8ab
11
23.
_________ Which binomial is a factor of 2n2 ‐ 32n?
A.
2n ‐ 8
B. n + 16
C. n ‐ 16
D. n + 4
12
24.
_________ Factor x2 + 13x + 30
(x + 1) (x + 13)
B. (x + 6) (x + 7)
C. (x + 10) (x + 3)
D. (x ‐ 6) (x ‐ 7)
13
25.
_________Factor 3x2 + 14x ‐ 5
A.
(3x + 1) (x ‐ 5)
B. (3x ‐ 1) (x + 5)
C. (x + 10) (x + 3)
D. (x ‐ 6) (x ‐ 7)
14
26.
A.
_________ Factor x2 ‐ 16 (x + 4) (x + 4)
B. (x ‐ 4 ) (x ‐ 4 )
C. (x + 4) (x ‐ 4 )
D. Prime
15
27.
_________ Solve x2 ‐ 7x + 12 = 0
A.
{3,4}
B. {‐3,4}
C. {3,‐4}
D. {‐3,‐4}
16
28.
_________ Solve x2 + 8x + 12 = 0
A.
(x + 3) (x + 5)
B. (x ‐ 3) (x ‐ 4) C. (x + 2) (x + 6)
D. (x + 3) (x + 4)
17
29.
A. 49
_________ Which of the following is a prime number?
B. 5
C. 170
D. 51
18
30.
_________ Simplify the following (((( x2)3)4)5)
A.
x14
B. x120
C. 4x14
D. 4x120
19
20